Maths-
General
Easy
Question
If the two circles
and
have equal radius then locus of
) is
The correct answer is: ![x to the power of 2 end exponent minus y to the power of 2 end exponent equals 2 c](data:image/png;base64,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)
Related Questions to study
physics-
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
physics-General
physics-
In the arrangement shown in the figure, the ratio of tensions
is,
![](data:image/png;base64,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)
In the arrangement shown in the figure, the ratio of tensions
is,
![](data:image/png;base64,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)
physics-General
physics-
A dynamometer D is attached to two blocks of masses 6 kg and 4 kg. Forces of 20 N and 10 N are applied on the blocks as shown in Fig. The dynamometer reads
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)
A dynamometer D is attached to two blocks of masses 6 kg and 4 kg. Forces of 20 N and 10 N are applied on the blocks as shown in Fig. The dynamometer reads
![](data:image/png;base64,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)
physics-General
physics-
A wedge shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass ' m ' placed at the top edge of inclined plane of length ' L ' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of
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)
A wedge shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass ' m ' placed at the top edge of inclined plane of length ' L ' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of
![](data:image/png;base64,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)
physics-General
physics-
A constant force
is applied on the block of mass
as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of
.
![](data:image/png;base64,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)
A constant force
is applied on the block of mass
as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of
.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASkAAACvCAYAAAChByjzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABmMSURBVHhe7Z0JeFTV/YZtrW21RdGqFUSobAIuiAhItYZNBP5iBbWCCyK1UiCIKAJCURSCAkpARQFZ61LcqCAExBYFWVwAEWUX0bBIWEISspPk++c7uUPjdCKZe+9JZqbf+zzngXtyZ+6dO3fee87vbCdBCCEiGElKCBHRSFJCiIhGkhJCRDSSVIVQgKP7d2L92vXYsT8XOJaCz1csw7pdaSV/zkvBhpUf4YvAthDiOJJUBZD3/ed4LaE7WrTqiSkLVmPh831xTYPaaNF7Jnbt3Yp3Enrh6gYN0enBl/Gd8xohRAmSVAVQmLMXSaNvRMOGceg/aS7mL3kDI7o0Qs1WAzD9xWl4a97rGNq6Dup2HYfNzmuEECVIUhVBdjJm33slqjXujinLt6Awfy1GdGiEJu3vw+Rle5CxZzUeuPYidHpsCbKdlwghSpCkKoDs5CTcWb8qLu85DbuKgGOfJqJ1zXPQtM8s7CvePrAqAS3rXYVHFx9yXiGECCBJWacIyUkP4eLzm2FY0oHi7QJ8nNgNNc+6DKOXU0r5WDnmBtRv2QfvO3HzY9lZyM7LL36lEEKSsk1hBpIeboW6cQOxOqt4u2A7Jna7FHU6PIlN3M7ZgbFdm+CqO57B2m83Y/u2jzFl1AQs+GIvCs0bCPG/jSRlmWOpq9G/eQ1cPSgJudzePBud69TATYmrkFe8XbDvPXSvcyrOv+aveH35ZuzYvgj9brgTiYu3qSQlRDGSlGXYsvfZsvex7lsWm4qldHAHViz9EJtSSrYLj+5C0tTxeP6tVdiTyZxNeLrvIExbslUlKSGKkaQijg14qveDmCpJCWGQpCKOjRjXZxCmL92u6p4QxUhSEUZB9kcY3OVOjJ67DvlOnhD/y0hSEUb2vuVIfHgoJr69Vh07hShGkhJCRDSSlBAiopGkgigsLMSuXbuwcuVKrFq1KmYSP8/WrVuRn69Il4guJKkg8vLyMGLECNSsWRO/+93vYiJdeOGF5vPcddddSElJcT6pENFBlEiqEHnZmcjIOIqjR9ORevgQDh1iOoiDBw7i8JE0HM3OQ6EPbfa5ubno3r07mjRpggULFmDp0qVISkqK6sSS1I033mg+0969e51PKkR0EB2SKkzD9tVv4G93d8H1HW5GvxGjkJCQgITRj+Nvg+PR/Ybr0GPMQnyf4+zvAUrq9ttvx6233urkxAaPPPKIkdS+ffucHCGig6ip7hVhJ57qWBtn1u6OpAN5KCgoKEk5yZjd9yb8ZeIS7Pehi3ZAUjfffLOJT8UKgwcPxhVXXCFJiagjemJSR5LQs0k1NLh9Ng4FVeuSVy7HZ7uS4UNB6geSogRjBUlKRCtRI6m0pGG4ovp56DYjMKYtH5kZh3E4rQj5+cdQVORPqUeSEiKyiBJJ5eK94dejevXWmPk1JzwB8nYuw5ypM7Hie39HuElSQkQW0SGpY+vxWKe6OO3cqzFg1FgkDOuL9pc3xY0PzMAunz0Sy5Jq2rQpDh486OQIER1EhaQKNryIjrWrouWDb2Djjh3YumEBHuvTDf0mb3D28I9YldSQIUPQuHFjbNu2Denp6UoxkDIzM839evToUWRkZJjtY8eOOd947BAFkirCF1N7oXbVhhi5fL+Tl4qtaxZg8WclVT8/iVVJjRw5Ej/5yU9wyimn4Oc//7lSFKYqVarg7LPPxm9+8xvz/9q1a+NPf/oTrr76arRs2RKtW7fG3Xffjeeeew4bN25ETo4fTUmVT+RLqigZL917Oc68uDc+SHakVHgM+TnZyLHw0IhVST366KM47bTTcPnll6NZs2ZKUZSaN2+OVq1aoVatWjjppJNMqlq1Ki677DLcdNNN6N+/PwYOHIhevXohLi4ODRs2RLVq1XDnnXdi+fLlzh0QvUS+pPYl4d7Gp6Nx/NtIqYBuS7Eck7ryyitx5MgRJ0dEE1999RU6deqECy64wMho8eLFyM4OPZnP119/jfHjx+Oqq67CWWedZR5QaWnRu4R/5EqqMB9Hvl2Ll4fegCrFT446dz6ND3amosDydJWxLCm27n3//fdOjogWlixZYkpG11xzDd5//30n98QcPnzYVPN/9atfmREU3I5GIlpSackbkPTGDEx67nnMfGsJ1u06Ikm5RF0QopNly5bhvPPOQ+fOnV2Pu5w3bx7OPPNME79icD3aiILAecUiSYlI4dtvv0WDBg3Qtm1bz6UgiopxrMcee8zJiR4kqSAkKREJcMqgvn37mmD5hg3+dLVhQJ1Vv3Xr1jk50YEkFYQkJSKBL7/8Eueeey7GjBnj5HiHLbtsGezdu7eTEx1EvaQoFT+RpERlU1RUZCZeZMnnu+++c3K9w++fkuIkiN98842TG/lEnaSysrKwadMmvPPOO5g8ebLpQe0nkpSobNi1gN0H2DHTTzifGCXFDqEvvfSSkxv5RIWkOOc4Z5hMTEzEPffcg0svvdRc7GuvvRYHDhxw9vIHSUpUNrt37zbTPrPnuJ8EqnscHjVgwAAnN/KJSElxXBJ7yk6cOBH33nuv6fbPJlRe4EBiS8Vbb73lvMJfevbsaaYQjiUkqejhww8/NJIKp09UeWAPdQ6v+eMf/2imk44WIkZS7L/x6quvmsUCfv/73+P888//gZSC069//WvTNNulSxdfE79A9uqtXr267zdJZSJJRQ8MZdSpUwdr1651cvyBNRAOjWI18rrrrnNyI5+IkRSXWmKsiVW6rl27/mCcUmWlF1980Tm76EeSih4WLVpkBg+vWbPGyfEHSurUU0814Yzrr7/eyY18IrK6x+A4h2989tlnpl5+2223mRaJ008/HT/72c+OS6RPnz7YuXOnaanwK3FtOhaFO3ToENXjnYKRpKIHdj+gpN544w0nxx8Yizr55JPNbAkUVbQQFYFzdmzjwFgucDl27Fgz8rt+/fqmm7+N8UiscvK9YwlJKnpITU01NQnOAeYngcA5H/hPPPGEkxv5RIWkQsEZJv/973+blj8/UeueqEy4QtHTTz9tZMJuCH5OYsfvn+/L+ajee+89JzfyiVpJ2UKSEpUFBTVu3LjjgmLjDR/EfhGQFFvLy5rmJRKRpIKQpERlwF7mnAOKEmHrG+eE4vxfbERijNYPGJPi7KxTpkxxcqIDSSoISUpUNBQUS1A//elPzWyanLOcMHDOAcEcWeEVxrnY94qNT9E2r5QkFYQkJSqSQAnqF7/4hWmw4YIKAXj/9evXzwxjoagoGjewczRHarBlnP0Po+2+lqSCkKRERREoQf3yl780ggqUoErD2BFn1WTXAc7MGW5DEfdnFx7OqMCSGiXFezyakKSCkKRERcAgObvTBFfxguE4vnbt2pmSFmXWrVs30xP9RDNs7t+/H3PmzDGT5rHLAXuxX3zxxWbOc0kqypGkhG0CgmKQ/I477ihTUOxczOErHKf68ssvm2FjnMngnHPOMUO4pk+fbsa4fvHFF6YDKDs/v/vuu2b2TQbJ2TpIqbGDMqGk+F6SVJQjSQmblO5mwEHspWNQpeE8UhybymEsf//7351cmHnOOfCepSuO7+MCDfXq1TMlJgbGOR86v2fGoJYuXeq8qgTOTyVJxQCSlLBJoATFe6wsQXFuc66zx0B3aUGVhvcmS09vv/22Capz+NiMGTPMwg1lfceSVIwgSQlbBPpB/VgJioJq06aN2Y8xJT+RpGIESUrY4JlnnjFzOTFIzi4BoWAMitU4Cmr27NlOrn9IUjGCJCX8JNAP6se6GRAKijEoCmrWrFlOrr9IUjGCJCX8goJiDOqUU04xJaiyqniBEhSD5DZKUAEkqRhBkhJ+ULqbQXkExZlmywqS+4UkFSNIUsIrvG/KIyh2MwgI6pVXXnFy7SFJxQi8wdjB7pZbbnFyYoOhQ4eiadOmSElJcXKELQKCYgyqrClRAv2g2JOcHTUrAkmqAuDF5XAATl3hJZX1Hnx/DuLkrJyc/ZNPwJycnP/aj6/3ch5ePwPPkyWihx56yARleY78MYTal4kMHDjQzMzI6ZY5kRr3X7JkCe677z589NFHpnoS6rVlJc6WynPgDI/8UXJpMeaF2resxAfCBx98YFYEWrFihflcP/Y5SifuS+FyEU2u8svvjXmh9g2VeBxeN87XxEG8vAY8//Ien4n783MnJCRg9OjRZvZYXlt+nh49epjrw32C4Xg6TuFLkVWUoIgkZZlRo0aZ/iN/+MMfzEDLcBPX6OONwU5yof7OxH04IRjHN3EJrUAej8nE1/I94uLijueFk0qfQ+n3DSfx2LwOzZs3Nzc5E9/rx96PVQoOkWBgtkWLFmab58E8vp6r43A7+HqUlXgOfI9mzZodPwf+n/mh9g9OPCdeAw75CKwKxN7Sgc8Q6jWlE/fjNeBnCRyfk8QxP9T+wSlwfL5H4Pg1a9Y8/r2Gek1w4rFYEmrZsuUPzoHve8kll5h8XlPu17FjR9PRklBQtvpBnQhJyjL8UQRuBqWSxMGpofLLSqH2Z9+d4LxwEkfnh3sewcnLOfD4TKH+Vt7E1rdQ+eVN5TmH+Ph4U9IKdDOw2YpXFpKURTiim7MUsiTAJxLr8+VNHEXOFBgvxTX9Nm7cGHJfJj7pPv74YyxcuBCLFy82iYs1MrDJJYF4M7J6wGpC4O8nSqxWsToxaNAgcw4cZ8VlrsN5j3/9619mqSOW9HgOrKZxm3NVh9o/OHEFaI6e50RqVapUMaUnrisY6hqUlThujNXFP//5z+ZzcHxYqP3KSsnJyWYVoAULFpgxZmeccYa5rqH2DZX27NljemTzs3OGSa7Cy/MJtW9ZiVUwXjPODMCA9T//+c+Q+5WVeA68R3hsXoPOnTubWTRD7cvE2Qe4H8MHHOxLIVeGoIgkZQnGHbhGGKtfbr9c3ih8PYvjvMHChUtbcU4eLqzIaqebVj+KiufAVWRXr17t5JYfxjr4w+APa/jw4SYmEi4c69WoUSPUqFHDSNMNTz31lAn2copbxm/CZfv27aZqyMUA/vGPfzi55Yc9t3kNWDIpq2Pkj0FRsrr129/+1sjSDZx+l6Lv1KnTCZf5//zzz42kmPiaioxBBSNJWYCCYn2eX67bXrj8IbAExiku+NQNF65Kw+4IvMkef/xxJzc8WCrjNLC8Sdws+Mjga9++fU21iq10buTAHwuXAWMJikuDhQtv7JEjR5rrwLFnbiTJEizjNSxBzZ0718ktP3xA8PgMTJfVrP9j8PtnPIkxx/nz5zu55YeNCxzIy1Icq20s4Z8Ilsp5zpRiZQqKSFI+w2oBS1AsvbgtQVFQFByf3Ow0Fy48B3ZF8CIoPq0pqIsuusi1oPij5Dk88sgjrgS1fv3645OfuSnF8abmHEU8B3bPYOtkuFBQrC5zju0333zTyS0/bMHj8VnFdLNoK0vQDGKzNMuSdbiw9/gLL7xgqtoMiLPqWx4CkmIVtbKRpHyETyg+qRjQnDlzppMbHoy98AthK4tbQbErAm8w/kDdQEGx1EBBffrpp05u+WEVr3fv3p4FxZuTrWerVq1ycssPJUlB8xxYgnJTxWIpjoKirN2syhuIJ7LfEYPP4cLYEFvtWKKeN2+ekxse06ZNM69n6x3jUuUlIClW1SsbSconWMXjk4pfbKDZNlz4Q2DMg0FyNzGo0oJ69NFHTTE/XFid4FPbraB4zICg3Fbx1q1bd7yK5yYGRUGxHxSrmSxBualiUZKcJZI/8Ndff93JLT8TJkww14CCdLMQAWNQLEHxM7gRJOF9yDgYBcVGmHAISKp///5OTuUhSfkABRXoQ+JWUPwh8ItgPyI3guI5BKp4FJSbIDlbjCgoCuKTTz5xcssPqxYBQXE4Czsdhgtb8tj3hzM3uhUUS1AszQavYlJeKCiWoCgoNzGoxMREc3wKys0yTCzxsO8Tr6ObID1hqIGCYknMzZAiSco7ESMpyoF9oRiUdCso3oiMYbG7gpsqHs+BK3PwHFjFc7PENQXFOBindOUNGi6M91BQfPIPGTIk7BuKJTAet1atWiZY60ZQrNJR0AFBhRuDothZeqSg+H2EKwh+Zpag2IrIVlV+L+HCKh7vJ8aQ3IyLo6TZWEPBMmQQThWvNJKUdyJCUixCs/cxbwg3gmJJg5PU86bm+DQ3guI5sBWPNzVbsViaCQfe1JzKlXEXCspNgJo8+eST5nO4ERRhzIaS5mT9brsZcDQ+z4FVPDfVTEqFMUWWQNyUoNj/i/cCvw9WvcOF312vXr3Md+G2RY2NHOzLxfuJwnOLJOWdiJBUz549zRPXbQmKq2TwR8mxaW4ERXgTsfTCEoQbuCIH42BeBEXYn2rSpEmuqleEP1CO5+NYOLcw0M2xaG7PgWKbOnWqqxgUYX8utuax46ZbOOTktddec7bCh3JkdXfHjh1OjjskKe9EhKT45PYyjok3MwO827Ztc3LCh83irGK4haUHnoMXOYjYQ5LyTkQFzoWINSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlhEkvKOJCWERSQp70hSQlgkkiTVqFEjI6ljx445OdGBJCWERfyWVFFRkZFMXl5euRP3LygoQIMGDXDGGWfg6NGjZjvUvqVTfn6++bewsNA5euUgSQlhEb8llZ2djR49eqB9+/Zo3bp1uVKbNm3Qrl07nHzyyeZc4uLi0LZt25D7lk7cp2PHjli+fLlz9MpBkhLCIn5LKiMjA1WqVEH16tVx//33m/eNj48vVxo2bBiGDx9ertc89NBD6NChgzn3mTNnOkevHCQpISzit6SOHDmC2rVrIyEhwVTZbCVWK9evX49atWph+vTpztErB0lKCIvYkFSdOnXw7LPPOjn22LZtG+rVq4eXXnrJyakcJCkhLGJLUhMmTHBy7LFp0ybUrVtXkhIilpGkvCNJCWERSco7kpQQFpGkvCNJCWERSco7kpQQFpGkvCNJCWERSco7kpQQFvkvSRUVIj8nE0fSs0u2c9ORmp6FgpItFOVmFP8tB0XOdjCSlBDCV45L6v4BxVtF2L1xERKH34+hU1Zi/47lmDzkbtzyl9FYtjsHmckfY8rQnrj9r+OxJiWv5A2CkKSEEL4SkNT9Ax4o3ipE8srxaFurGtoOnIzZUyZg8D2tcHb15nhw4lt475VJGNbtKpxzVgs8uT615A2CkKSEEL7yn+pevNnO+zQR113aFF0fHIslW/dgS9JwXHtRE9z+yAx8sOUQNs/pg8aNb8Zru7LM/sFIUkIIX/mPpFjdA1aP7YoLqjfB4De3F5er0vDukGtxZrU4PLHoa+QiA3N6NcUlXcZjZ1boqJQkJYTwleOSGjCoeOsgxnVtiFpxw7Ahs3gzbT0eblYV53cYic9yCoFDC3FP0/ro8vSnxcJyKCooltl/kKSEEL5yPCY16G/A4aW4+ZJ6uPW5daY178i6RLSsVg/3TNtoRHRo4TC0aNgGTy3bhszcfOSm7sIHc1/AMy/Oxae7Msw+aZKUEMJPApJ6ePjDSJk/GLVrt8O0DRnFf8nDilHtcF79W/D6d9yzAO+PaI9zarXC48/Oxqote/DlklmY9MIUjLnvBvxf72fweVoR8rPSJSkhhH8EJDV4yL3YMn88+o2Yg+10FNLwfuID6PfkPOwze2ZjxfP90b71TXjynS3IyjuG1P37S6p966ajb/9heGd7IQpyM1BXkhJC+EVAUvHxJ+5xXpCVhtTM4P5RhUheOguJL76JbzKBnAxV94QQPnI8cO5yWEzugc2Y/+rrWLWzpN9UWqokJYTwES+Syk/bg08Wz8eqHakoLMxDVn4+DqSlFYtDkhJC+IRrSeXsxaJxPRB3zXW47a47cFvvMVi2PR2ZuVmoJ0kJIfzCtaQKc3F479fYsnU7tm35Cl9u3430nEKkp6epuieE8A+vMalg1JlTCOErkpR3JCkhLCJJeUeSEsIikpR3JCkhLGJLUomJiU6OPTZv3ixJCRHr2JLUxIkTnRx7bN26VZISItbxW1Lp6ek4++yz0bRpUyOPadOmYerUqb6n2bNnIz4+3pz7rFmznKNXDpKUEBbxW1JZWVlo0aIFLrjgAtSvXx/16tWzkvjeF154IWrUqIH58+c7R68cJCkhLOK3pIqKipCSkoK9e/ciOTkZu3fvtpL43nv27MG+ffuQk5PjHL1ykKSEsIjfkvpfRJISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiKSlHckKSEsIkl5R5ISwiJr1qwxkurXr5+TI8JFkhLCIipJeUeSEsIimZmZRlScM1y4Afh/D9tOBCB2FPQAAAAASUVORK5CYII=)
physics-General
physics-
All surfaces are smooth. The acceleration of mass m relative to wedge is
![](data:image/png;base64,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)
All surfaces are smooth. The acceleration of mass m relative to wedge is
![](data:image/png;base64,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)
physics-General
physics-
Two blocks of masses 10 kg and 20 kg are connected by a massless spring and are placed on a smooth horizontal surface. A force of 200 N is applied on 20 kg mass as shown in the diagram. At the instant, the acceleration of 10 kg mass is
, the acceleration of 20 kg mass is,
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)
Two blocks of masses 10 kg and 20 kg are connected by a massless spring and are placed on a smooth horizontal surface. A force of 200 N is applied on 20 kg mass as shown in the diagram. At the instant, the acceleration of 10 kg mass is
, the acceleration of 20 kg mass is,
![](data:image/png;base64,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)
physics-General
physics-
In the given arrangement, for the system to remain under equilibrium, the '
' should be
![](data:image/png;base64,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)
In the given arrangement, for the system to remain under equilibrium, the '
' should be
![](data:image/png;base64,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)
physics-General
physics-
Two 10 kg bodies are attached to a spring balance as shown in figure. The reading of the balance will be
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)
Two 10 kg bodies are attached to a spring balance as shown in figure. The reading of the balance will be
![](data:image/png;base64,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)
physics-General
physics-
If the velocity
of a particle moving along a straight line decreases linearly with its displacement s from 20 m/s to a value approaching zero at s=30 m, then acceleration of the particle at s=15m is
![](data:image/png;base64,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)
If the velocity
of a particle moving along a straight line decreases linearly with its displacement s from 20 m/s to a value approaching zero at s=30 m, then acceleration of the particle at s=15m is
![](data:image/png;base64,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)
physics-General
physics-
There are two incline planes AO and OB inclined at 45° and 60° respectively with the horizontal as shown in the figure. When a man moves on the incline plane AO with speed 10 m/s, he observes that the rain drops are falling 45° with the vertical. When the man moves on the inclined plane OB with speed 20 m/s, he observes that the raindrops are falling vertically downward. Then actual speed of rain is
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)
There are two incline planes AO and OB inclined at 45° and 60° respectively with the horizontal as shown in the figure. When a man moves on the incline plane AO with speed 10 m/s, he observes that the rain drops are falling 45° with the vertical. When the man moves on the inclined plane OB with speed 20 m/s, he observes that the raindrops are falling vertically downward. Then actual speed of rain is
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)
physics-General
physics-
From a point A on bank of a channel with still water a person must get to a point B on the opposite bank. All the distances are shown in fig. The person uses a boat to travel across the channel and then walks along the bank to point B. The velocity of the boat is
and the velocity of the walking person is
. Then,
![](data:image/png;base64,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)
From a point A on bank of a channel with still water a person must get to a point B on the opposite bank. All the distances are shown in fig. The person uses a boat to travel across the channel and then walks along the bank to point B. The velocity of the boat is
and the velocity of the walking person is
. Then,
![](data:image/png;base64,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)
physics-General
physics-
A man crosses a river from point A. If he swims perpendicular to the bank, he reaches point C, 10 minutes later. If he swims at an angle
to AB, he reaches B in 12.5 minutes. The width of the river is
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)
A man crosses a river from point A. If he swims perpendicular to the bank, he reaches point C, 10 minutes later. If he swims at an angle
to AB, he reaches B in 12.5 minutes. The width of the river is
![](data:image/png;base64,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)
physics-General
physics-
A boy throws a ball upwards with velocity
The wind imparts a horizontal acceleration of
to the left. The angle
at which the ball must be thrown so that the ball returns to the boy's hand is ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVsAAAElCAYAAABK50FcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAEzdSURBVHhe7Z0JnI3VG8fHkrIvUbRKaUGRsoTs+5KIFFFaSFSUnUihVEihLBXZQ8I/qbQqSvbs2RWVvUKE53+/Z94z7ow74859731nxn2+n8/5MO+999z1/b3Pec6zxIiiKIoScVRsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMU2DGzfvl0OHDjg/KUoinI2KrYu+Ouvv2TgwIFSuHBheeyxx+S///6T9evXy9ixY2XNmjXOvRRFUVRsQ2bjxo3StGlTiYmJMaNatWpy4sQJue+++8zfN954o0yePNm5t6Io0Y6KbQj8888/0qpVq3hCu2LFCnPbsGHDJHPmzOY4/7Zv3152795tblMUJXpRsQ2B48ePy1NPPSUFChSQTp06yd69e51bxLgSZsyYIUWKFIkT49KlS8v8+fOdeyiKEo2o2IYI/los1tOnTztH4rN582Zp2bKlZMiQwQhutmzZpE+fPrJ48WL5999/nXspihItqNgGCa4DRnLAyn3rrbekYMGCcVbuBRdcILNmzXLuoShKtKBiGwR79uwxPtqaNWvKzp07naPB8+OPP0qFChWM2GbKlElmz57t3KIoSrSgYhsEkyZNirNMP/jgA+do8sDlgAth5cqVxuerKEp0oWJ7Dnbt2mU2uBDaXLlyydq1a51b3EOo2J9//un8FSb+PSjbNm6Q7X/8JYG9ySIHdqyXVWt/kQOq+YriGSq256Bdu3Zxy/+3337bOeoehHbo0KFSpUoVMy/+Xbec+GOVDH+6vhS+NK/cUKmtzFpz0LnFn9Py86yXpUnV0lKjVU+Zs+Z357iiKJFExTYJEMGMGTMasX3ooYfkyJEjzi3uOXbsmDRu3DjOPfH+++87t4TKUfnq1WaSy5kvJiaL3PXCXAm8pfefbP5iuFS/Okay39RYpq5OzLo+Lfu2b5Q16zbLvmPOIUVRQkLFNhHYxMqZM6cRrptvvll27Njh3BI+iL21z5E/f375/PPPnVtC4aC8/1RlyRwnthdJrZ7TZL9zayCWvfeo5PXdt1DLt+S3BNeRnYunyLP315RSJUtKydtulzIV60mnIbNkp4quooSEim0Ali9fLtddd50RLdwH77zzjnNL+Jk2bZrkzZvXPNf1118vS5cudW5JLqdk8RsPyRUZHbFNd6U8PmqJ72jiHFw+SWrk9d33kkYyZ5u1gU/ITxO6y22XZJVLSt4nb89bKj+vXioTX2guBXPkkNtbvCTLDyY1q6IogVCxDQBxsAgWG2KDBg1yjkaO9957Ty666CLznGXKlJFt27Y5tySP32Y/JzfnihXbC66pI++tTNrtcXj5B1L/ct/9M5ST0esO+Y6clu2fDJRSCHD+ujJl7d+xdzT8I7O73ynpYjJKuTajZcdR57CiKEGhYhsAyiWOGTPG03jYwYMHx2WbVa1aNaSqYTtmdJciWRHbjFKixVDZeQ4DdMdXr0vpi3z3z11XPtx1XE4c/EGeKn2x7/EXSd1BX/ps3Pgc3zZLGuT33f+CK+Wp8StF8+AUJXhUbFMJp06dkh49ehixZVA1bPTo0YmmA5/NEfm4X0PJweOzXCedp5/Lx/yvfD+qlWT33T9z+R6y6dC/smJsK8nJ43NUkNFL/3Du58fxPTL6gWvN68tZvqP8sFdjxxQlWFRs/fj6669N/YJ169Y5R7yFmgkPP/xwnOBSTezkyZPOredg7/fSsUp+87h8ZTrID/4egEAc2Sav33u1uX+VvvNk/8FfpPeduczfF97eQRb/Guh5j8miN5tKFl5f+mukx+xfkvQJK4pyBhVbB5ILbKWu3r17O0e9h0yzJ554Qu6//35ZuHBhkJbtadn6vwFS3LgQskq9/t8kmtBg2b9yrJTHv5uljLz1wx75a81wKZE5VuSvuXeIbAwo1qdl0/znpHC62Pvd/vR0ORjktUBRoh0VWwc6Lhir7sILZeLEic7RNMLJPTK5cyXJ6Hv96XOWljdWHHZuSIxDMv2pUr73m06KPjhCfv1XZP2IJrEWq2+Ue3qi/JaIyfrbj2/Lndlj75ezQjdZe1htW0UJBhVbH3RduPbaWF9k+fLl5e+/z7UG95ZzVRv7b/di6VQhq3n9WW/tIEvPIYB7Fw6WW7PFSMYCVWXsCiJxT8iUtiUkgxHbC6V+/7mSWEe1A6s/kAZEMPjum+mKRjJ7t4YlKEowqNj6GDJkiBGP9OnTm6iA1ARhYVwA2DxLTHT3r5widYkS8L2HS+q/LLuTSDw4/dvX0r5MTolJf5W0HfOTGKk8/ZsMaljIPD4mJo+0GP6FJBY09vf6j+Xea2OfK1328vL2unNZ0YqiQNSL7eHDh6VevXpGPIoXL27+Ti2wOUZHiFgRjDEdIAKxd+k4qZY79j657uwhmxIR21P7lsjzd18nMRnzyv2vzJND1rF7cq30rHKF8zwFpM0730ticQZHNn0m918f+1wxWW+VV39MKkdNURRL1IvtJ598IlmyZDHiQWGY1Aa1cC+99FLz+oi/DVSf4cTuRdKhTGxSRPpct8qLnyesuXtMNi+eIm2qFZbcV5aUTmO+kXiXlP9WSZcKl8UKaMwV8sS4HySxfa9/Nn4iza6zYltcXlm0z7lFUZSkiGqxJdSKnX+Eg35iW7dudW5JXeDaMEKaPn0iXR7+kVXTeskt+dKZ+11YsLJ0e328zJwzR6aNGyE92zSWMrcWl8rNusrMpQGqfP23RnpUtpbt5dLuvcWSWA2yw+vmyj3XxIptumylZNiyQJXFFEVJSFSLLT7QJk2aGOHAJxp0TKvH/Prrr8bFweusXLlyIj3Mjsj6ryfL8x0fklrlSkjR4mWkVsMm0rzlQ/JU71dl2oJV8a1Zf07vkpcb2NY9l8ojYxYmmh22f9VUqVcgVmwz5qkm47ekrs1ERUmtRL0b4eeff5YJEybIH38EyJhKRbzyyitG4OhhRvGaRDl9TPb/sVt27tgu23fskj8OBhMtcFQmtiku6Y3Y5pBmQz+TxCR0z5JRUjFHrNheWPgBWfCHZpEpSjBEvdimFX777Te56aabjMjRCy2ctXVh6dDGTpxtOqnec4YkVuF2y1cD5RYnqeGSOgNkW3hfhqKct0St2FKLgNoDL7zwQshVtrzmpZdeMiJHQfO5c+c6R8PDvsWvSfEssSJ6U6vhsiWgQfyfrJzyhFxiRDmDVHv+E/lbcxoUJSiiVmx/+eUXky2GuFCDAMsxtUNKcfXq1eW2226TZcuWOUfDw8nDK6Vb+dzm87io9JOy+LcAW2Sn/5bP+tWITX64qLi89vXOc6YFK4oSS9SK7f/+97+4GrJkj7ktPoP41apVSxYtWuQciQzUTohI1MTp47L4rRaSGyHNXEZG/LDHucGPYzvk1QYFzGd2Rb0X5OdDWhhBUYIlasV2wIABki5dOrn44otNOJXbhouTJ082IjRy5EjnSGQhpTjcacWnfvtOniwX26anZv8vzopIOLL23djNsUxF5fm5G9WqVZRkELVi26BBAyMqNWrUMJ1u3TJs2DAz3+OPPy7Hj0d2h55+aGS9MX7/PbzdcTd9MlBupdDM5fVk2jq/3a8jW+WN+2/wvcesUqf7B4kWqlEUJTBRKbYsxW3hmQ4dOjhHQ4dOuXTfZb4SJUpEPIyM0os2641Ns/Dytywa11mK542RXMWbyGvjp8mMSWOk411Ffc95lTTqMV5+0dBaRUk2USm2L774oolXRawaNmzoOoxq165dcWFZzLtq1Srnlshw6NAh87p5voIFC8qmTZucW8LFcdn07VTp/lB9qViholSuWEnqNn9aRs9bnnhihKIoSRJ1YouwVqlSxQgV6a9kkLl1I1C/wPYPY4wfP965JXKMHTs27jmfe+4552iY+e9v2bNji2zZ/pscdu9pUZSoJurElvjaN998UypVqmT+PXjQfW7/W2+9FSe0jDZt2ji3RI7NmzfLDTfgQ42Rdu3aOUcVRUmtRO0GWbignkLLli3jie3NN9+cSP2C8MHzWgsd61xRlNRNVIrt9u3b5YsvvpCjR913Gfjrr7+kcOHC8cQ2T548sn79eucekaNZs2bm+e64446wRFQoihI5ok5sEVgs0Xz58sn777/vHA2d5cuXS9assS1p7CAzjQ4LkaZr167m+a6//vpUX0hHUaKdqBNb0nJtucJnn33WORo6w4cPj7c5ZgfxtpGG1utEI9x7770pbtniC9+7d2+qLVOpKClN1IktYVq33367EcQuXbo4R0OnRYsWZwktg75hXgjg/v37XWe/uQWR5cJ15ZVXmo07RVHOJurElkLcpUrRxjtGevXq5RwNDVwSJDEkFFpGoUKFZPXq1c49I0tKuhC++uorU/KR90yBnD17AtRUUBQlOsW2dOnSRhxYfrtJrSW+9rLLbO+u+IMiN+HwCZ8LioqXK1dOpk6d6hzxBrLwWBlccskl5v1i1eK/VhQlMFEntj/88INcffXVRiCIGiAqIVSIr7WZaIFGOHzC54JKYzxX2bJlTZRFpMEnS6eIkiVLxnuvAwcOdO6hKEogok5s16xZE5daS1LAhg0bnFuST9u2beMJTsJx1113hb2jQkL69u1rnosKZvXr1zf+00jBZ0ckhy1NaUfFihWN71hRlMSJOrE9cOBAnFXWu3dv52jyOXz4sCk67i86CQdiTo+zSDJ9+nSTdszz1a1bNyJii5C+/vrrcsUVtgPvmUHYG+3gFUVJmqgTW6CuAFW63GxgLVmyJM4dkdjIlCmTfPjhh84jIsO3335rrFrCzyLxXPPnz5fatWsHfH8MTRVWlOCISrENB2x++cfXFitWzCQXkKqbOXPmuOPhL4EYny+//NJYtow33nhDTp8OT0lvNhKfeeYZyZs3b9x7STjInPPCT6wo5wNRK7Ys70P117JJxOYXgkO2GCFkhECRLMGyfsyYMZIrVy5zOwW+cV1ECjarrPjhHiFKwA2Es02aNEmKFi0aN2+ggbh7kSWnKOcLUSm2RCSQrksB8VAaPdID7KqrrjJWnxWcjRs3Gh/t559/bv7Gj4nllz17drOxFCmonZszZ05TTBzRd1PvYeXKldK8efM4H3BSo3HjxqYuhKIowRGVYjtu3DgjGDly5DA+z+TCJhSba/4bQ4geYksjScuKFSuMf5hi35ECK3vKlCnGGg01VRYrv0+fPgE3wAINYmsj3dhSUc43olJsJ0yYYKw34my/++4756g7AoltWoHkjkCiGmiwGYcwK4qSPKJSbLECrdjiUggHKSm2WM5uOu1ywXnnnXdMYkKnTp2kVatWZ5WNtIO6EhpTqyjJJyrFlqU9YoufE+ENB+EX21Pyz8H9sm//ITmeRIDB3LlzTQgaiQW//PKLc9QdH330kUm/vfzyy+P5b4my4DZFUZJPVIqtjSRgEENKeUC3hE9sD8vKBVNkQJcnpFWzRlKrRi1p2WmgzF72q09+z+bGG2+Mey+jRo1yjobOggULjHiTHdezZ0/jNrDzE5scrtAyRYk2olJs582bFxeaRXwskQRuCYfY/rPlK+n/cE0pVuR2adK+rwwb+bYM69VSbswWIxcVqiajFsevqEURHduSvUiRIiaawA0kMOTPn18effRR09aHSAsrtNTNDcfnpCjRSlSKLZB+iohkzJgxLEtjt2L768Kx0vjmfJL7+joy/KvNcqYS7hGZ1buWXOh7rfnvGiRbj56xLAlbsxEE/fr1c46GBkJboEABY73a8DEy0qzYjhw50hxTFCU0olZsKbhNEZf27dubguJucSO2u78eLrULZpCY3OVkxI9nbz5tnvOC3JTRJ3pZ7pC3Vx92jsaGll188cVGDEmkCBVC2CgV2bp1azl27JhzVGThwoVmbmpAUAtCUZTQiVqxDTehiu3fa6ZJ01ty+EQth7R8e6lzND47P31NSmXFwrxY2k7a5hwV+fTTT00hGLLYZsyY4RxNHli0VmgTdgRmw61MmTIyefJk54iiKKES9WJLNtjMmTNdJx6EIrb/HV4t/epfZ6zHfNX6yppEqjFunPW8FLsAsc0qTYYuc47G1mcgWgDrlnTh5EK2Gz5af9eBPyRJuCmurijKGaJabP/55x95+OGHTQFwCoG7Iflie1S+HtxUcuMTzVhQun2U2ObTCVk4+jHJz/1isknT1890Q7B+ZyzTtWvXOkeD47PPPjM+2gcffDDiNXcVRYlysT148GBc+cD77rvvrGV0ckiu2P61bpLUuyK2atil1XrJyv2JhZ/tkUmdK0l6I8oXS5sJZ6pskTJLFEIgF0BS4H4ghlaFVlG8I6rFlk2yJ5980ggeTSDdFFZJntgelqlPlo0V0PQF5NFRiyUxqTy9b7n0rOGUOcxyi7y8KP4GGheM5BSf8RdadREoindEvc922LBhRsjIjiJlNdSg/eSI7bG170jVyy+Mfd5izWXOlsSt0n3Lx0uNvLgQYiRTwWYy/49YgaSLbXK76uKjxeVAOq5atIriLVEvtmwyGavRNyj+HWrlrODF9oh83LOOZEvPc2aT2j1mJmrVwop3WklO5/Vd3fQNOeR7edu3bpYqVapIjRo1ghZcGlvio6WHGL5qRVG8JerFlo0l/J6IGWIUaueBoMX29y/k4VKxsbExMdnllpotpUunjvL000/HHx07yTOdnpD6t+Zz7ptTWr+3Uv46fkJaP9jSHCMSYdOmTc7EiWMtWhVaRUk5ol5sgThSYlURr44dO4ZUKyFYsd08s5cUNTGzMZL7mvLyWLfu0vmZTqba1pnxjDzbubO0u7dcnFUbU6CuzNn2r2z/dYdkz5bVHAumgDdRB/hoEVr/hAVFUbxFxdYHflo6FCBgWLmhdDsITmz3ypSuNSSzEdDMUrHjB/KP77lPnz5lXkO8ISfl6/71nfumk2KtR8qekyLz5sSm0JJmPGfOHGfewOA6QGgfeOABVx0cFEVxj4qtA0VWKMDy5ptvOkeSR1Bie2CJ9KhzmRHLmCzXSOePkugXdmSJtC/ruBCyFZP+83aaw60fbGWO3XbbbUmmGdMI0lq06jpQlJRHxTZMBCO2/66dLc1ujK0Pm/nqBjL918TdFVumdZRCF2LVxsi1jfvLL0dEDu3/I67wDJ1vE3N3WIu2RYsWKrSKkkpQsQ0ADRqJR01OokAwYvv7d2OkihPGdVmNfrIlscCHExukf8MbJJ3vfjF5b5NBn8VawJMnTjSPzZQpU6K1EKhHiyCr0CpK6iJVie26detMVtT3339/1qB9zfLly0PqhpscaAVevXp1U+CFtuTBEozYbl8wRMqYzbF0Uqbjh5KYF3X7//rKzTm5Xxap3nW62EbopBYjtrQZD/Q5YNHSYQEfrW6GKUrqIlWI7Y4dO2Tp0qVSuXJl0yKcQtX+o1ChQqb1OF0DSEKIJMSt0mIGUatVq5bJMguGYMR211fDpVw2RPQCaTRkqQQybE//s0r61i1knv+KGt1kyb4zSRa08yldurQMGTLEOXIGCtFY14EmLLiDz4+Lbjg6eCiKJcXEdtu2bTJo0CDT2fXmm2+Wa665xjQTpOTfTz/9JEuWLIkbWLQUXUFMwtUNNyl69OhhxC5Dhgymq0MwBCO2R1fPlMaFENsM0mzEGueoP8fkmyH3SV7fc+cp3lxmrDu7ElkgEfj666/NZ3P//fe7avwYzRCvjGvm+eefNyF19erVk99//925VVHckyJii4CVKFHCCOwjjzwio0ePNj90gu8TA8vtpptuMqIWaRCvSy+91AjuuXb9LcGIrRxdIy/dc42Zt2yXjyW+zXxSfp7eXW7KHiO5SzeXySvO1EA4cOCA7Nu3z/krPnwuuA4opKNCGzw7d+40v7nOnTubYkS4ZrJly2a+G0ajRo3U562EFc/FdvDgwXLJJZeYQijUkg12qYYAIrZsXkUaUnaHDx9uYlk58R577DET+5oUQYmtjx2fvCS35sogMfkqyeD5a+X3P/+U3TtXyaQXH5KiBfJK8Xt6yZdbz7gBsORxHdBaPGEZRcK7cLsQI6yug8DwvVGrmN8a7Y+6du0qFSpUME0tc+SgaHusuPqPW2+91bi2FCWceCa2iGr//v0le/bsxiXgL15s5jzxxBMme2ratGkyZcoUk9XFv7NmzTJZUJwkNGk8l5iFE14PrgTq3Z6rB5cVW1rM8F7x/bI0/fHHH41rhBN90aLFsnXLMpnZv7VULXGTFCpSRqrd1UjqVKsg5arcLb3GLJA/zjQfM5uCpBAjALwO/NoWLj5YtLgO1AKLz5++CxgtgygKj0sIH3zOnDnNZ5hQWBMO0ppxXSlKuPFMbCnOzQ8+Ya8sRLdPnz7G50gLFrrdsqTjX/823cWLFzfZXbgcvIDd/oEDB8a18maDjqSHN954w/iUE4LY8rrpSEvKL9YRf1Pchg0+uuAyihS9WWrVri6PN6sjXdo/JuPenyRfLf1F9vmJLNDz68477zTPTRrxSy+9JCdOxN6J3mCEdzVr1kxdBz6w6nEJ8N106dLFFOjJkydP3G8n2EHK9uOPPy7Lli0zF7rFixdH5SD6Z8OGDedczSnJwxOxxT+G6PTs2dM5cgbCqzgx2GnHGmTjzI7NmzebEwihYyn/888/RzykCSvx5ZdfNmKJ4JcrV86ciIhu+fLlzWYeFiVuEF6PBbHlYoDYvv3222YOKoph1WJlEdZGaBZlHHs/95yUq1BRrvdZws19lul3C79xZomFCAgE2wo9NXetm+Dbb781z4/Quqm/ez7B6iFLlizxhDOUwRxcILnIX3fddVE7bBlOTfEOL56ILTu8/IAT7u6uXLnSWLRPPfVUkqUN3333XbNhNXToUON/w5+KuyHUcoiJgbjTSRYxI8SM2gMILhYPrg82qngPs2fPljvuuMP4/WwsLsLLBQU3QjDs3bvXuEfq169vfNi0Dbd88MEHcUteYn6t0LIZho8WoVXXwRn4XvBtjxo1ylwE+R6oT8yKIKGgnmuwYYtlx+qBC1s0Dn5nGA/Bhj0qwRFxsaUbQNWqVY2l5g+767gNWPIFIxxYhAgz4WH4UPH9InrhgogDNqJ4Tfha8fvx2tgke/XVV517xcISf//+/cani9WN9Uon2mA2yBJClhoXG6z7uXPnGn8vflhO/Lx585okD/jmm2+MuCO0uhmWOPze+G64kOO6IsGDCyaNLcm8SyiuCQeWnf+KRVHCRcTFFj8j1iI+RwvHyIbCAqEATLBgIduTAmszORleSYFrgmQAXAT4ajlZSbDgefDbWhBUNvIaNmwYt8Rq3769eRyvhX9D2cDDQkdwCYVjIxBLl+fu1q2buR0/mrVo1UebfBBg/OysiOjXVqlSJXPhsr+lhINoBS62ihJOIi62+GvZ3PIXLfywtN/++OOPnSPBQfEV68csWbKk/Prrr84t7mAJj+XD0pGeXjVr1jTP0a9fP3M7liQuDDa68OVOnTrVuDPY2Bs3bpxZ6uNWICY3ue/JwgWIzR17wuM7xGXBzjhujaZNmxqLWnEPKyk2wNisffbZZ6VOnTpm1WQ/ewYWsfrElXAScbElhAvfGZYs4A8ihIvsseTADjGiw4mAPzN37tzGR+cWrJ4mTZqYWFVcG1itPEffvn3Nkh5XBZtkbBpwzPqdsZAIy2Lzi7Au3BpYn7gUQoXXYgWX94Y1RroyQqsnfuRgJUNYHaFirJ4wDviNJrc9vKIkRcTFdsKECUY8KOyCQGGxPfTQQ0EnM1iwhpmHgV8Vi5KTwy3r1683yRIjRowwFwSEnKwifH5YN4RYkZ21evVqc3+W/GzCcJxNGYLl6QfGBh6ujaSy4IIBC5fnw19MIoP6aL2HZpq4jHQ3XgknERdbfIz4I61QEjvKTnxyeeWVV+LmIBYyXGCJ4h5A2BBLrMju3bsb/ymvlU0rG2+I6CG0WLAILVlGXDzwSWMd89oocegWXC7MpbUOFOX8IeJiC2xAYakhIOShhxK25C+2WJzhgjAr/Mf47YiTJaKA3Ws6NvjH9LKMxyL3t2jZ4LvrrruMJURBHV6bW8uWsCOSH+rWrZtoPQRFUdIenogtkF560UUXmfjHSZMmOUeDh1hbK7YIYrhy19kcY/efiwEiy4YJ8bb+ILS4GNhEQWjpwMtroAQjS83x48eb98Vrc2PZEubFLvk999yjPlpFOc/wTGzxdRLAjyCx7GZTIjkgcFQK4/FsuLFZFQ4QOOJZEU52qBOCFW6FlmgFRB4fLxY6gkhkgq0Whb83VLFlblwXKrSKcn7imdgCpRUJsUKYSGdNbgYYj7GVuCiBFw5wARBGRpGchGC1IrS4DhBDEh8QWlwO3EakAkKLVUtyA4kJZIUlF6xlog4QWvXRKsr5iadii5WIoCCWiGYwdWL9IcwK/yq+UkLKwgUbYrfccku8jTtED6El5IvsLSxaUo6xaBFa4mkJP+O1EJfL8h83RLDFxi0kLFjXgcbRKsr5i2diiwVJLKtNSmAQpRBsZAKFXAgdY/MoUNUtNxDmQ5qmzdgi6oDCNwgtueK4MLBo8esiwogvFjpC+9xzz5mNtaefftokNSQngwy3BRYtnQFIklAU5fzFE7FlVx1/LT7Xli1bGqG1okvMLP7XQH5Kss8GDBhg/KmILOJH9EAkoFoXAkp/L2oe4D9FaMlSs0KL5cmSH/8tQovrgYyydu3ambhc7hes2BJ1gEWL0KpFqyjnP56ILUVoiE2lDgLLcdJbqZLvb+ViWRLMj1hRZwArFnFGYPGFNmjQIF7x7EiAT5jXwgYcSRO81rJlyxr/MMkGPD8iTHYRyQbE2N59993mQsF7C7YQDULLPAhtKGFwiqKkPSIutiQFIJb+4V5UusK3SfEXNpas4DLw5bKrT2rua6+9ZpbtJBUkN+MsubCMJ1kCnzDWKrVrCQkjM4w6tMTP4i7gNXKM5T9hYtRSgGDb4uA6sEKrFq2iRA8RFVsqJ2GdkoSAwAaCMnj+YmsHli+WLq1xKCoeaRBJXBq4DujtRTk+3AIcwyq3r4vyjlwkEvqNgxFbisogtFjDVqQVRYkOIia2WKNsHpEGywZTYmDd9e7d28S6+out/2ApT4WtSBYGoUU4G2V0iEBgKUhDHVvCwvzdHYgtabREEfhzLrG1m2HMq0KrKNFHxMSWKAN8mi+++KJzJGko9EJNAMKrEquwzyYZvlyy0aiQFQnocYZosszHCg30Ohi4EohesHGxSYktiRPMhdCq60BRopOIiS2ZVAhMcjuV4npgc4ri3cSxBhI6yhmyyUZrHCzScEHcL35Yntdf8PE5t2nTxoSuJWx/bTspJCa2WLRcJFRo0xaRupgr0UvExBbXAFWzQv3Rkl326aefmsZzSVmY+IQpUrN8+XLnkcmH0DSaNJKU4D83VcCIgmCDzIIPmS7B9j5Y2YBlnlBs1UebduBCSPgetYkJRSQGXAsBKeEkYmJLVhWJAeGAzSiKOtN/zF8M/Qcxq7SsIbMrOS2YCTMjjjfhfLROIYKCkK+EEPtr70cYF1jL1nZqsIW/qQpGQ0IldcH3ygWaVRTuIFYelNq03yt+e/3elHASEbGlaha+14kTJzpHwgNlDTk5qE2QmF8XFwDlCakSllRWFskJlEVM2AKbJT+ddOlFFggiFUjZtfcnYoIupGzeEStMfVyElxMXq1gt2tQBK6U1a9aYxqGE+FEMie/LdjH2HySt0B5dUcJJRMSWrgdkWEWqaR4WB+11cDHY5ogJB+UcqXdAlteWLVviit4QcfDkk0+eFd9LNATNFrlvIEhawHImDtf/cfiP2QykIy+RC4g8/mQy5rR6V8qA1UpVOcSV8pessIidRkRtKczEBhffSGUpKtFNRMSWRnqIbTg3rwJBogNtbXr27GmENTFrl8gBsthIkmBp738b2WBsfNHjLBBYuISA2f5ndtB/DOGlEyuFaaingL+Wpen777+v/j4PQVxZTeA/J+2a9Gk6HXPBTew3EWiQUEPxIVK0+d75NxoHG8XJLYGqnJuIiC2xqvgvER2vwIrGosaFcC7rxQ58tWyIBIIuDfhsySRL+DisVpIfxo4dq1ZQKoALpf+mZaiDPnnsC5QuXdpYwtE6OHe5YPl3KlHcE7ENMvyq9OvyGixMUoTxyyV0FdiBdTty5MhEfbqErRFnm9AqKlWqlPEZa83Z1AUFi8hExD3ExTGhHz7YQfIKNS/obMzvg4t3NI5hw4YZI0TD38JLxMSWTSZ8mIH8tkQLEE5l24JHAny0P//8s3Ex4Ff1P6HIRgsEflf8sglFmmI4FKnhpFZSN7iusHSJwaZ6G1YqFmugjbBAA7eQLqGVSBAxsUXoqCkQaJmOyN5xxx2mpUykwYfqX9uADTW6LvhD7QX8uQn9skQ2PProoxFNE1YiBxdcVi9sivJbw/JldcL3jAD7f9f+gwgTXUKnMk6dkH8OH5A/9x6Qv/9NXocXNxw/clj2790rh/46Kv8FH1EakIiJLUttrAQyshKCE54NDJbkkYZQLTbI7IlEPC4dHwCXAxYQtRf8TzbcB/h+k9t1QUn9sKoisoSwxA4dOpg6xWzmksDi/xvo169fwBhrJWU4tXuFDH68ltxZqa4MmLNZ/nOOR5bTsnDkk1K9YkV5oNd7ssmlVyViYgskImDBJgyBYqcXR3woG2jslFLg5plnnjEbWFgtSUFpRH+3ABldZAph3dKKxr/IDINgdja+1LKJDhBfVmH8lsh6bNKkiYlQwe1ApIuSOjj5y3y5r1DsOdpgyE/izWXwtEx7orh5zvzVu8lPgQsXBk1ExZbmh4TTzJkzxzkSixuxJZXSCiNlELGQKe6NT5X02ITWCMLqH+5FIDvJDDRxtMcY+GWJyU2qQply/sNqh6xAwvjUd5t6OPX7Knnz6bukZu1G8urHWzyzbGc8Xdrow9V1e8my1Cy2JB9UrVrVFJXx3/l3I7bslgbyt2Gh4i6gDxh57ZwsbM4xypUrd9b97aA7LrGVBMAripJKOX1KTvx7zHcxPCYnTka2kcAZ0pDYAq1kyNzxbxXuRmxJjZ01a5YJKyPaIbHwLurOYq2SZUbCAxY2vjkKgnM7PjrqN2B9R7oLhKJEEyf/PSKHDuyX/Yf+kuOBTq1TJ+XIX/tl34FDcjTgrtNpOX7koOzbf0D+OuasVH1ie/zYEfn7n6Ny/D//SU/Jv/8c9hl2h+TvY3727unj8tdhjiVnM+2E7zGH5Yjf4njG06WMXqQJsQXi9ogCsAW32SCj1i2prW7AF0xlMDYzcCXgIvAXXP+BuCLQ5Ly/8MIL5rnVL6so4ef4urnStVUdqdfoYRnz7dmhnwfXzpeeLepLnfqNpe+0s1eU//6+Uoa2bSi1az0i7y3e4ZNeH3+sluGd7pY69e6R1+ZtlTMSulfmDGov9es3lZfnbvbp5W75auqb0r19a2na6G65t+Xj0mvQKPl8ZRLZrEd2yhdTR0iPJx/xPaaR3P/IkzLw7TmyYf8JmdO1gqTz6UeaEVtEjSQHBhsSNDlkcwqrMlwQ5kOUwYQJE8zmGREGpGv6Cy7dczds2OA8QlGUiLBvvtx/U0ZzzlXpNlfia9QJ+WncE5LPOSevbjxMEsrxzq9ekhu4PWsleW/pXnPs1ObP5IHrYx9z9+tL/TbIdsor9a/2HU8vlZ4YIiM7VJacztz+I1fh6vLyvLM304/u/E76NS8ruc96THq5uWFn6XB3UUnv+7tgvTQitkDeOj5VW++VqIJIWpZscmBN4yogGwxXBr5czf5SlEjzt0x4PNbXeVWtXrLafzfr5B6Z/Ew5I2BGBG96QD6PVxjvmHwzqI5k8N12+d39Za1Tb//kli/kkRJkdGaS+0Ys9xPbXTL03lt8988o2XLnlot8t5e4q72MnPo/+fSTD2Vo52Zyfe7Y58pZsq1841+y5OhmGda8qLFcYzLkl9qPPi8T53wq82a+I882LS2ZfccvyBSbDHNt/TQktlieFNEmftWL+EVa7OAXptwjO8wkLiTWdFJRlPCyfWoHuTRdjKQvWEcmrj3jYz31x1LpUj67xGS8QDKlTycZcheTl771M4CObZOXaufxCVxWaTLoE59sx5Kk2N5X3IhzTEwWqdZpgmw74qfup47IgldaSIEMvtsvLCjd555pHrv9oy5yNccz5pcWL8+TvX5xtKeO7pKp3WpJDjNvGhNboCwiS/mEoWDhhrRa6skiuIqieM+pXTOk/mU+ccxYSDpPPhOv/OeKd+XOrDGStXxdqVXsWkmXLps0HXymeeqxrVOlFpZotlIy+PMz6fxJi+0tRhAz3dBQpm5yDvuz8h2pcgXx9Hmk1XDb0eWAjGkV25nlkkpPyfeB6sTv/0Jal0T4Y+SatCa2bGgRhtWlSxfnSGTo1auXaXHjRQt0RVECcHq3DGlILPsFUqPbVImNWD4pqyc8LNl84lWu82gZ2qm+XOj7/y0thouV1a1T2hn/aY472spXfkv+JMW2WaxoXl2zl6wKFP2w/UNpUoQMwZxy3xBH2I9+K21K5DKvr1rnaXEWdHz+lalPpLFoBAubY8S0tmjRwjkSfkhKKFKkiFq1ipLCLH2ziWTyCdWltXrIUpNEelCmtLneJ175pMP7K2XTnGflUoS1ZGv53KjxUZnyeAnf7Rnkziff99meZwhGbIs0fU22Okfj8etsua8YleByyL1DYhu0ytbJUq8g/tjccv/g+LVS/FnyWkPJ6Jv7qjo905bYAhW3qlSpYiISIgHNH6nHuWfPHueIoigpwf4Vb0npTDESU6CuTP35iMipVdKhiG85n6e8jP7Bd/7vmSSVcvluz1Nahn13zGeNLZG2xbNLTIYr5Zmp8WUzabEtasS2WLOhssM5Go9AYrv+Pal+Jf7YS+TB4Yl3AF/7dgtjfV9VOw2Kre1iS6xtuCE5gXjbBx54wDmiKEpKcXL/KulejuX75dL9w7VyaMu7UjKDz5It3Ua+MZbseulRgaLv+aTNu2vl6NoRcmv2GMlQsIHM2GWmiCPsYvvrdGlYKJPvWE5p+vKXsbG8AVg6pJFckFYtW7K/sDxp/R1u2BgjW4ymfoqipDCnDsjs3hWFMK+K3afLF8Mfkawx6eW21iMldt15QuZ1ja24V7HLGHn/1UfkYt//r238uiRMQQi72P63XDqVo39hein12Cjn9STkX5nSLrajd8G05rMFEhnovBuJ7qUUjaZWKVEPiqKkNKdk48f9pLDPms1yx8PSpup1EpMpnzz4xpll+/a5nY3fNl/pilLx1hslY7osct/Isw2xsIutT0jndq1kQsayXNtIpqw/4hw/w+nf5sr9N2czcxdKa9EIQMlDxPaHH35wjoQPCoVTr5YECkVRUp4Tm+fLg0UukJgLskn2TOkkQ4EyMnTRmWSmv7fNkoYF0klMhvSSIV06yXjxnTJ23VHn1jOEX2xFDq96V6peypwXSNFGfeW7nUd9lwc4LSf+XCFDH7zdbI4xd5qLswX6g1HDAGEMN1i2dGVQy1ZxAyGKtKfXAkVh4MRWGfHILbFZWr5xaam24p/DIH9vkZfqnynuf0nVPrIpQGJpJMSW6Idvhz8sV7KJ53v8xTdWkgef7C49nnlEqhXPb45lzHyhee1pUmyJFqCDaaDeZG6hCHShQoW0w4KSLMhopAg9qy5KeJLpWL169Yj8RqOPE7JoxIOS3SdYiNcNLcZI/Darf8m8vlXMbYzK/RZIoIYIJzd9IvdeHXufuq8t8RPbHTKwTgFz/LI6AwOHfu38QOpeFvvY2gO+cQ46nNovC0Y/K5WLXm58y/Z1xKTPJSUbdpS+rcuYv7OXe1p+dFldwFOxJV22du3a8thjjzlHwgsRDqTouq0mppz/kMb94YcfmtKfRK8UL148XlNIBDdhhxElNP7e8r2MGdhH+vQZIJMWJrQ9T8vva+fLa324fbB8tjFeoYQ4Th3YKh+91dd3nxdk+pLdflW/DsviD4abkNIRHyxOIOQOhzfI9BH9ffcZKB8sCty09cDmxTJl1BB5se9z0veFQTJ66gLZecR3fMUsedE39+AJC2S3y4rlnortd999Z4rR8COPBEePHjUxvP61cxUFKHw0c+ZM6datm6nPQYcP/67L/oPbtm3b5jxSUcKDZ2KL/4ue/DTYi2Q/+oYNG5p25Ep0Qpbi4cOHTSbh7NmzpWvXrlKxYkXTey5HjhwBxdV/ULvj22+/dWZTlPDhmdhSOLxAgQIRs2otFAinaR8dHZTogOU+/eewXHv06GHElaaNdOcIJKiJDboqP/LIIyYGnNrI0TrYaMbNohuE4cUzsaU9DVYnEGO7aNEi48PFymX5TxlEUnipN8vgBMJC4V/+5jbuw32pg2sfm7BcIycbrgTuq0QH/J6yZGG3ObCIBjtwK9BqCTcC4YnROgifpIYJ55oSPjwRW6xZmjSS3cWXSGdbCnvTuQH/GZtmtWrVMoW+cTOwE1ytWjXTLJJ/+Zvj3M597ePq1atnBim6iDkbb23btjWddr2omaukDuiCSyvyQYMGyUMPPWR+Zwlb1Acz6NbM75PEG0IUo3V89NFHJg6eGtRK+Iio2LIMQWjZFKNFjf9uL0s2/x96OAbLRtqUI76E8ijRB6sdNrfYjB01apQRXxp90oMuGAEuXLiwbNy40ZlNUcJHRMWWyltYoVibu3fvlnXr1pkY29atW5sOu+Ee1K9l15l25pRxVJ+Tgrtp3759Jolm5MiR5ndBh2UMADowBxLcSpUqmccoSjiJqNjyQ8fCtP7ThQsXSt68eeWLL74wf0cK+pzhppg6dapzRFHOgM+fDbU333xTWrZsKRUqVDA1NfwFl4gW9gwUJVx4tkEG+IGwKKZMmeIciRzt2rUzFgyVwBQlKdiEZcOW8p8dO3aU0qVLS+bMmc1KTFHChadiy6YVPrTKlStHvMst2WSIrcbcKsmFGN1PP/1UI1qUsOKp2AIWRL58+WT8+PERj4WdNm2aibfUWgmKoqQ0nostPPXUUyYUzIvqXCQ5UC9Bi4ooipKSpIjYsmlGiA3WbaTZtGmTXHvttSZtU1EUJaVIEbElCJ0QMC/EFsaOHWuiE7SouKIoKYXnYnvgwAGZOHGisTa9Cs3CN0yq8J133hnxjTlFUZRAeC627PRSKIRYxhkzZjhHI8+aNWvksssukwEDBjhHFEVRvMNzsaUE3vTp080GGfUNvAwcf/31103lsZ9++sk5oiiK4g0p5rMlQgDrlsIfhw4FrK8edghep7ANRW+oIqYoiuIVKSK21EkoW7asyfLCd0vFLq8El7q6FIgmVVNRFMUrUkRsKRpDsZhZs2aZegnkpVMgxCuXQr9+/eTyyy/XdExFUTwjxcQWNwJRCUBhGsQPwfUiWgB3wh133KEdHRRF8YwUFdv333/fOSLy5ZdfGsGl06kXLgUEnqI448aNc44oiqJEjlQjtkDSAYJL2TsvBPfZZ5+V6667zvRbUhRFiSSpSmwBi5N4WAQ30j7c33//3bwO2ulooXFFUSJJqhNb+Pzzz+NcCpH24ZIyTIueSHf9VdIWFL6nvc6OHTu0F5cSFlKl2MKCBQtMlAKCG0kLlwZ39KaioyqWrhKdIKhbtmwxK6u33nrLtDSnqwjNRjXFWwkHqVZswQsf7syZM03r5kcffVT27t3rHFWiASzXOXPmmG7MlOIkHNG/LxkNSocMGWKyHhXFLalabMH6cEl8iISF+8EHH0ixYsVk69atzhHlfIVkGsS1V69epjBRiRIlJGfOnHHimnDQVYR+ZYoSDlK92AI+3CuuuMIILjGy4QSxLVKkiLavPs9g6U9rpE8++UR69+4tVatWNdmKdO4IJKz+A7cS99eUbiWcpAmxBXy4kdg0s2K7fv1654iSVkFcsVz79u1rfK158uSRTJkyBRTUpAbuA7IM6STChT6aB1mWGqkTHtKM2ILNNAtnWJiK7fnD7NmzA4pncgeddflNXHPNNcafH62DDeo+ffpolmWYSFNiC2Sa4cNt3bp1WARXxfb8gW64kyZNkmHDhkn37t2ldu3apkNHIEFNamTJksVYx7iWVq9eHbVjxYoVGqETRtKc2IINCyM8x63gqtievxBdsnLlSmPxYqHVrFnTuBYyZswYUGT9R9GiRdWPr4SVNCm2QIdeTgrKNFIfN1RUbKMHNld37dplNs0QXzbBWC4nFpGA39fNb0tR/EmTYksfszp16hh3ApbKlClTnFuSj4ptdLNnzx6T2EI4WP369aV48eKSO3fuOMFt0KCBCRlTFLekSbFdvny53HTTTdKtWzeT+fXRRx85tyQfFVvFH9JziWh46aWXjNBSinPt2rXOrYoSOmlSbEeOHGlaoVOtq1KlSubECBUVWyUxcDsQTqYo4SDNiS057BT9bt68ufmbLB8skFBTKlVsFUXxgjQntmxYII50yoXhw4ebv/ft22f+Ti4qtoqieEGaE1vCvki7XLZsmfmb0J7ChQvL/Pnzzd/JRcVWURQvSHNi27NnTylXrpycOHHC/E3d0dKlS5sg9FBQsVUUxQvSnNhWq1bNxNb68/DDDxu/bSio2CqK4gVpSmx/+eUXueGGG4xA+vPee++ZELBQdo5VbBVF8YI0JbaIKv7anTt3OkdioTJRwYIFTVpmclGxVRTFC9KU2LZt21Zq1aolx48fd47EQheHMmXKmLqlyUXFVlEUL0gzYougli1bVvr37+8cOQP1Nh9//HHjt7UbZ8GiYqsoihekGbFduHChqfT17bffOkfiQ2k9QsA2bdrkHAkOFVtFUbwgzYgtSQyUveOxgaBeAhWcklsnQcVWURQvSBNii2ugWbNmpgNqYlXjDx48KOXLl092vK2KraIoXpAmxJbOtzfeeKOMHj3aORKYjh07mhqkyWnUp2KrKIoXpAmxpdgz/tolS5Y4RwLDfIUKFZINGzY4R86Niq2iKF6QJsSWkK6KFSues405dRJo0kcx6GBRsVUUxQtSvdjStpyatZ06dXKOJM7Ro0dNq5OuXbsGXXJRxVZRFC9I9WJLKBfW6tSpU50jSfP0009LlSpVjPAGg4qtoihekOrFdsKECaYFzrZt25wjSTNx4kS57rrrTHuTYFCxVRTFC1K92LZu3do04gsWitUgzjNmzHCOJI2KraIoXpCqxRZXQMmSJeWFF15wjgQHflvcCcGgYqsoihekarFdtGiRqfJFqm5yYDOtcuXKQW2SqdgqiuIFqVps6ZpbokSJZCUpAC4E6t7iUjgXKraKonhBqhbbu+++Wx544AHnr+Ch3i2bZMH4hFVsFUXxglQrtghm8eLFjRgmF/qS4bft0KGDcyRxVGwVRfGCVCu2M2fOlMsuu0ymTZtmEhuSS7du3YzfNrHCNRYVW0VRvCBFxZYY2sR47rnnJFOmTJIvXz556qmn5MiRI84twfHxxx+bzbWffvopSbFGbCnduH37dueIoihK+EkRsf39999NSBcFvwNBDYQ6depITEyMGenTp5chQ4Y4twYHlcIQdNqcY+EOHTrUuSU+06dPN/3LXn31VVm9erVzVFEUJbykiNhSKCZ37tymlU0gEGM2xvDZIrQIbp48eeTLL7907nFuaKNDMoQVbOYKxNdffy2ZM2eWiy66SK644gp59tlnzfMriqKEE8/F9uTJk3L//fcbAcyePbsMGjRI5s2bZzrj2vHhhx+aWgjLli2TChUqxAlmuXLlZNeuXc5MSUPYF50b7GNvv/1208UBobfPQ+lG/Mb4bO397PN89dVXzkyKoiju8VxsSTR49NFH44lboIGVuWXLFtPuJm/evHHHH3vsMSPY52L8+PHx5ktsMDfdHRo1ahTv+MUXX2zifM9V1lFRFCUYUsSNMGvWLMmZM6cRtSxZskjnzp2NOI4bN86MUaNGxWvs+MYbb8SJIG6Ft956y7klMIjxI488EvcY2ulgwdr5/Z+HjTRAVF955RW55JJL4h7HaNq0qRF9RVEUN6SI2B47dsyUQUTMMmbMaEQuKY4fPy6tWrWKE8DLL7/cpPImBpELZcqUibs/bopg+eabb0yhcvtYRuPGjeXAgQPOPRRFUZJPiogtYJ3azS9CrzZu3OjcEhisy9tuuy1OABHrvXv3OrfGh6QGf7dAjx49nFuCg+aRPXv2ND5lOwfhZ8G4LxRFUQKRYmKLUNLE0YoZUQDnKhyDhWrdD1YA6bwbCOJn7f3YKKMIOeFg+IBXrFhh/l21apXs27fPecQZEGvibu+991654IIL4uYZPHiwCq6iKCGRYmIL+EytkOXKlUs+++wz4zvFzZAYbFrZxxCyRbHwQPzxxx/xLGHidvmbrDQ23/gXEa5du7YMGDDA+IyJxaVDL26DUqVKmYsBIWF2jhw5cphQMUVRlOSSomJLNa9atWrFiVnhwoWNe6BGjRqmaPjw4cPPSqPFsrzvvvviHnPVVVcZCzUhWMmIp71fuEb37t2dZ1AURQmeFBVbwFLEYgwkbGyeIaYIMLG5RBU8+eST8vzzzxurM126dOZ+iDNJDAlZt26dFCtWLG6+Cy+80IR0Ee7FILHC+o39B/fjNeGySHg7kROKoijJJcXFFkaOHBlvuZ4tW7Z4ApdwIJIJl/iTJ092ZovP999/b7rt0rlhypQpxkd7+PBhMzZv3mysXxIncGPkz59fWrZsaeZaunSpsZjx01avXt2IfqFCheTzzz93ZlYURQmeVCG28N5770mzZs2kX79+ptIXy3XKJPqLrP/A4qRQDf8vUKCA8feGCqFlxNsuXrzYOXI2WMlssClKWgOX2qlTp8zADcegGh6by/z27WBjmP0SBi2pGIRR4u6jmBODPRWGNVhYURK9Q2gkY//+/WZg1DDYCGf8+eefZh+FVHjGnj17ZPfu3aYoFc8dDaQasQ0EXxZWL5tbpND27t3buBJY5lvRrVevnkm95QdhfxSBfgz2B8EPwf8HwOB5eAz35YfAj+DXX3+NG/wg+KHwAyFKgU6/CC/haFjHpAYziHjYsGGDGfiaGWvXrjVjzZo1ZlDsBouZsXLlyrjICAbpyVjUVCpbsmSJ/Pjjj2b88MMP5kJAbDEDa/27774z7YJI/iA2mIFLhjRjakgwvvjiC1mwYIGxxrkYffrppzJ//nwzSFUmuoPBhYY0ZsacOXPM50lqM4MEFAYlL+mAQeEeBtEeXBRJq2awamBFQHEhNi0ZJJIw2Hy0SStcVN9991155513ZOzYsTJmzBgZPXq0GWyYMggL5HtnjBgxwvju33zzTTNIcBk2bJi8/vrrZlVCgSIGK5DXXnvNFBRiELtNKvjLL79sNlUHDhxoNkIZ/fv3lxdffNEM+tvhlmKQSdinTx9TcY7B741BGCDhgxgADMp3slrq0qWLGbiWiKZ55plnTEsmBhutDFZUDCJncIFRY7l9+/ZmPPHEE9KuXTszqBPCaNu2rbRp08ZkSjLItiRBh/Hwww+bwX7GQw89ZM4F4s9ZjTGoJ8Jo0aKFNG/e3LjeGOxxYMgwiLBhkKzTpEkTueeee8xgU5hwSQZF+xs2bGjGXXfdJQ0aNDB1Rhicb3Xr1jWD85LBJjN7LzVr1jQDtx6rQUa1atXMwHCiIBSjUqVKJpb9zjvvNKtKntuNsZRWiOGHkNgHbz90/w/cftj2g+ZDth+0/ZD9P2AGPlc7/D9w+6Hbwd/2C2DwWJ6D2gXXXHONeQ6qeOHLtWJLRwae84477jC3EUXAoBYCgwgEKozZQSUwBu127KBIzS233BI3br75ZjPw99pBLDCvww46+OLKsIM2PIzrr7/eDDb7GLw+Oyj5yMAdweA9Mag6ZgcRErgsGFdeeWXcIIKCQUIHg2gKBla9HbhBGJdeemncICOOMpV24KvGb20HBX4YuGYYuFMY+KvtwH/NIO6YgZuHkTVr1rhBJiDRIbaoD4OLoh2sQhiE0jH4DhkZMmSIG6xWGPjirT9eR3QMzn0MoPMZ3/sM/OZ16NChw6uBEccK83zG9z4Dv3kdaXMkjJ4IdWCZup2LObCI/VciWKzWgmVg0Vor11q91gq2VjGWNla4TTBhXn+rmoGlbS1va4lby9xa66wEsPTt68GSt5EpdtgVAPezqwO7YmCwgmB1wr/W+ub//qsQhl2dsFKxqxa7kmGwsmHFxGrFfjYctysjO+yKidUTqymG/wqLFRcrOf8Kd9yH1Zr/sKs4u7Jjlceqzw5WgawueW/MwXfDfVgxli1bNm7wNwO3HqN8+fJm2NUoK1NWurxe5uGz5n4JV7h21csKmJV1Uun35wsxvHH7BfLF8QNgCc2SnC/ZLv243X85br8gu2zn/gxqEtgvhQ+ZD5P5+OA5sbivdSEwcCkk/PAZuAZwS+A64MvDrcHz2h8Cj7WuDf5l4O6wviZcIAweh1sE9whfKj4uXpf9IXBFxb+FX4t/Gfi8rP/L+sN4HD4yfGX4zfC98TqZh88IPxj+Nvxs+Nz4Pz4465PDP8fAV8dj8d/hwsEfyGtgHoQFfxx+QHyADPyB/I2PkIG/kIEP0Q7mwPeIK4h5EB+eA/+j9Uey8ch98FPis2Tgv8SXiU+TgX8TPyj+QdwCCBTPjy/U+ka5HX8pflP8pwx8qfhV8a8y8LXik8V3aUPteI34Y/HTMridgQ/XFgbCr4uPd8KECWbg98U/zOvHdYII4lfFP4zPmGF9yPiUKc3JsH5mW0oTPzT+al4/gsZr4vP43//+F+fD5nYG/m0Gvm583vi+8YMz8InjO+d14yJC2PlM7XEEg38Z1t+O7x0fPL54fPIM/PP48XndnFf8fniP3Gb9+9bXb33/7AOQ0s6+gN0jYL+AkqO8XgSVeXg93Ie9Bvr4cbvdd2CwH8Fgb4J9CAb7Fuxv8Fo5hznf+W2wR2H3Mrid/9uNMrtHwgYaG2lsqrHBBrxWhJt58JtzPzhXhuj5TgwfOl8uu+32S2Xjhx8vfkYsA04ovni+XDu4D4ONIgabRgw2kHbs2GG+aL4sfsiIOScvJyn3tTuR/MuwO5T+X77dxLKbV2wI4U9FkDhpeJzdBLMjsR8Dgx8Du7D80BF8fpi8Hn5I7MzaYXdr2bnlx2FHQvhBcyW384S6o8oJgGjbeUKFz4yNCn7gfF+hwufPBY4Lo5vXw/fDxRLrj+8rVPidcOHlIsImWKggOFzM3c6DeGEcuJ2H8wNDw+08nG8YHszDRTFUOHcRSOZhgzFU0ATOC7fznI8EjEbgA2NpgAWJlRIqXH2xcDnh3MyDsGEt8wViOYUKloGtBoYlFipckLAA3M7DxQ3hZx6sw1DhQmjncSO0XHDt+8JyDRU+H/s5uxHscM3D925/P1jmocI8/J6Zx80FhN+zXV2Fax43gs15yvnOPG4EGyPMzoPQRrslm5CzxPbnn382y3UsLZZ9oYK1jKsBS+vtt992jiafcM2DIOH2YJ5z1cNNCv953Ai/FTa38yDYzINLxK3wI2xu50EgETbmcSP8ViCZx43wW0FyOw+CxDxuLX4rbOGcx41g+8/jRrARWvy1buc5n4kntpxwOM9ZqrsRWuZBsMM1D8LvRiARAASSedxY2AhAOOdxK7QIiRVsNwLJCWcF241AhmseTlwr/G4EknkQbATAzTys9LBo3QqknYcVoxsLG1ecFX638yC0vB43AmnnYQWrQps4cWJLsD0+UT4wN8KGJYqz3u08WJB2HrcWJLuwLG3cCBLzcCFyO4+9oDGPG9eBvRAxjxthYx5WDszjRpD853G75LcukXDN48byYx4uIG7nsRdG5nEjSMxjXSJulvxcGO08bnyr/vOcqwlAtGPEluwqdvL5wNxYomRFWWFzI7TMYwXJzTxcQKwguRHscM2DiwaLlnncCDYXNDuPG8FmntTkM2YeK0huhJ8LYzh8vVxArJBgQYbqg2Qe6+t1Mw8rNH+fsZt5/H29oc7DhQiLlnkQfvXRJo0RW3vSubnicqIgkCxt3Fq0zMPSxq1Fi0C6ncdabMzj1qJFIN3Ow4nCd8U8boTNzsPKwc081vLj9bgRSCw2BJLX40YgwzUPFhvCxjxufaJ2HjfnFy4RBNLtPLgy7Dxuow6s60CjDoLDiC0nHjGGhDuFgt3EwpdJjnuoIJB2HjcWNvNYn6gb4Y/EPG58vXxP1ifq1mccjs2wcM6DBck8bixsu8R266NlHgTS7TxWIN36eu08XNDc+GiZh7Ast/MgtHYeN8IP0WQNG7ElvjTUN43QkunCFc6NIDEPWSdu58EyttkrbgQpXPMgtMQZM49by5gAeOZx6+sNxzwIv53HjSAxD4k0budBsO08bn29dh43gsQ8NpnHzTwIv53HjbAxD3sgbufBUreuQjc+Y84v3IWhGnhpkbgNslAgS4f0PjKl3FTtsfOQdeVmHqpUkYhBBheWeqiQcRTOecgqczMP1bjIWKICVGqYh8wrLrDMQ9JKqFBxjHnIyKMKWagwD9mOZN+5mYfHhnMesg3dzMN3xAWfeXiPocI5xTxkQKaGech447zg/IgmQhZbNo1I70VI3Fyd2DQK1zxYJAiAm3mwsLEkwjUPqa9kpIUKFgBRIgiSm3mwsMM1DxYSAuBmHixsLCTmYWUVKnYeBMDNPFjY7BW4nQeLlr0C0rsTa0YaDHYeUsXdzINFi2uO1PNwzEMqu5t5sIxxqfF6bBpvtBCS2CJsXLmpS+BWkMIxj13yU/rR7Tws+Ul7TQ3zIGws1akN4VbYuKCFax7ScN3Mg7BxISJN2c08dqnOPG4FkgsR6bxu5rFL9XDNQzqvW2HjQkQ6r5t58PVyIQrXPCQ/REvBcH+SLbacKFzhSFigEEiohGseThSulGyqUcQ6VPiB23kodBIqzMMuv9t5OFGYh021xFr+BAPz2E01CnuHCvPYzbDEOhoHAyecnYeiM6HCPHZTLRzzsIlFMZxQYR67qeZmHhstwDwU6QkVOw+bWBTOCRX/xIdwzMOeDIWIopFkia1dGodjE8smULjdxLJO/9SS+BCOebAgbVyv24QFO4+bzSfm4cLodh4usFzQmMfNJpb/PG43sbigMY/bhAU7j9tNLC5EbuexF0bmCVfCgpt57IWIeaI58SFosfVPWHBTowBfL0sJ5nEj2P7zuE00sILkZh4uRFaQ3Agt81ghCVeiQbjmcSP8XIjCkbCA8FshcSPYzGOFxO08VkgQ/lCjevznSQ0JCwh/OBIWmMdWAYv2xIegxJYTDmFjKeFGkJgHYcOidWuJImzM40ZImAdhczsPJwqCxDzhSjRwa0EibG7nwfJD2JjHjSBxwiFszOM2DApBYh63lqgVNrcWpL+whQqWn53HrQVpBdJtwoIVSDeWqP/roa5ttHNOsUUgESS3RWX853GbIIAg4RN1M48VSOZx68rgfblNWGAeLiDMEw5L3W2CgE2ZdjsPTS1ZEeGDdHMhog4xLiMu+G4uIBToxhXmdh6Kgdt53FxAKNhNFI3bCxGFym3cs5sLEe8LFx/fu5t5+P1wgaWQvZsL0flEkmJLV1fiMvkhuHEdULmeuDrmcSOQdJW1bTvcCBuvh/fFieJmHk5cBJKWLG7mwSVCQWpasLj5fLBo6VJBNwI33xeWDSE+RB64ucBSaJvuFFjZbuahsDxdKviM3GQo0lmZDhVEv7jZpKE4PRcOunO42TSioD2bYMT10nE4VIh4odg/3TncbKoB8bN0CHGzKQt0uaBrBLHvSiyJii1dD9i95oN384HRMoNW2XzwBNWHCqE0dGtgOct8buCqy8nmtn0yVjYRB7QTdwPLWtq30D7FDVTbp50Lfl83IJJckFgGugGR5LOmG4Ub6NbBa6EVvRvoykEHCX6TbqDzB51B3EL4k5vQN4ub8ELFOxIVW+Lp3P4oAZEMx49Bf1CKoqRlgtogUxRFUdyhYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigRR+T/QvXZoY+PFncAAAAASUVORK5CYII=)
A boy throws a ball upwards with velocity
The wind imparts a horizontal acceleration of
to the left. The angle
at which the ball must be thrown so that the ball returns to the boy's hand is ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVsAAAElCAYAAABK50FcAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAEzdSURBVHhe7Z0JnI3VG8fHkrIvUbRKaUGRsoTs+5KIFFFaSFSUnUihVEihLBXZQ8I/qbQqSvbs2RWVvUKE53+/Z94z7ow74859731nxn2+n8/5MO+999z1/b3Pec6zxIiiKIoScVRsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMVWURTFA1RsFUVRPEDFVlEUxQNUbBVFUTxAxVZRFMUDVGwVRVE8QMU2DGzfvl0OHDjg/KUoinI2KrYu+Ouvv2TgwIFSuHBheeyxx+S///6T9evXy9ixY2XNmjXOvRRFUVRsQ2bjxo3StGlTiYmJMaNatWpy4sQJue+++8zfN954o0yePNm5t6Io0Y6KbQj8888/0qpVq3hCu2LFCnPbsGHDJHPmzOY4/7Zv3152795tblMUJXpRsQ2B48ePy1NPPSUFChSQTp06yd69e51bxLgSZsyYIUWKFIkT49KlS8v8+fOdeyiKEo2o2IYI/los1tOnTztH4rN582Zp2bKlZMiQwQhutmzZpE+fPrJ48WL5999/nXspihItqNgGCa4DRnLAyn3rrbekYMGCcVbuBRdcILNmzXLuoShKtKBiGwR79uwxPtqaNWvKzp07naPB8+OPP0qFChWM2GbKlElmz57t3KIoSrSgYhsEkyZNirNMP/jgA+do8sDlgAth5cqVxuerKEp0oWJ7Dnbt2mU2uBDaXLlyydq1a51b3EOo2J9//un8FSb+PSjbNm6Q7X/8JYG9ySIHdqyXVWt/kQOq+YriGSq256Bdu3Zxy/+3337bOeoehHbo0KFSpUoVMy/+Xbec+GOVDH+6vhS+NK/cUKmtzFpz0LnFn9Py86yXpUnV0lKjVU+Zs+Z357iiKJFExTYJEMGMGTMasX3ooYfkyJEjzi3uOXbsmDRu3DjOPfH+++87t4TKUfnq1WaSy5kvJiaL3PXCXAm8pfefbP5iuFS/Okay39RYpq5OzLo+Lfu2b5Q16zbLvmPOIUVRQkLFNhHYxMqZM6cRrptvvll27Njh3BI+iL21z5E/f375/PPPnVtC4aC8/1RlyRwnthdJrZ7TZL9zayCWvfeo5PXdt1DLt+S3BNeRnYunyLP315RSJUtKydtulzIV60mnIbNkp4quooSEim0Ali9fLtddd50RLdwH77zzjnNL+Jk2bZrkzZvXPNf1118vS5cudW5JLqdk8RsPyRUZHbFNd6U8PmqJ72jiHFw+SWrk9d33kkYyZ5u1gU/ITxO6y22XZJVLSt4nb89bKj+vXioTX2guBXPkkNtbvCTLDyY1q6IogVCxDQBxsAgWG2KDBg1yjkaO9957Ty666CLznGXKlJFt27Y5tySP32Y/JzfnihXbC66pI++tTNrtcXj5B1L/ct/9M5ST0esO+Y6clu2fDJRSCHD+ujJl7d+xdzT8I7O73ynpYjJKuTajZcdR57CiKEGhYhsAyiWOGTPG03jYwYMHx2WbVa1aNaSqYTtmdJciWRHbjFKixVDZeQ4DdMdXr0vpi3z3z11XPtx1XE4c/EGeKn2x7/EXSd1BX/ps3Pgc3zZLGuT33f+CK+Wp8StF8+AUJXhUbFMJp06dkh49ehixZVA1bPTo0YmmA5/NEfm4X0PJweOzXCedp5/Lx/yvfD+qlWT33T9z+R6y6dC/smJsK8nJ43NUkNFL/3Du58fxPTL6gWvN68tZvqP8sFdjxxQlWFRs/fj6669N/YJ169Y5R7yFmgkPP/xwnOBSTezkyZPOredg7/fSsUp+87h8ZTrID/4egEAc2Sav33u1uX+VvvNk/8FfpPeduczfF97eQRb/Guh5j8miN5tKFl5f+mukx+xfkvQJK4pyBhVbB5ILbKWu3r17O0e9h0yzJ554Qu6//35ZuHBhkJbtadn6vwFS3LgQskq9/t8kmtBg2b9yrJTHv5uljLz1wx75a81wKZE5VuSvuXeIbAwo1qdl0/znpHC62Pvd/vR0ORjktUBRoh0VWwc6Lhir7sILZeLEic7RNMLJPTK5cyXJ6Hv96XOWljdWHHZuSIxDMv2pUr73m06KPjhCfv1XZP2IJrEWq2+Ue3qi/JaIyfrbj2/Lndlj75ezQjdZe1htW0UJBhVbH3RduPbaWF9k+fLl5e+/z7UG95ZzVRv7b/di6VQhq3n9WW/tIEvPIYB7Fw6WW7PFSMYCVWXsCiJxT8iUtiUkgxHbC6V+/7mSWEe1A6s/kAZEMPjum+mKRjJ7t4YlKEowqNj6GDJkiBGP9OnTm6iA1ARhYVwA2DxLTHT3r5widYkS8L2HS+q/LLuTSDw4/dvX0r5MTolJf5W0HfOTGKk8/ZsMaljIPD4mJo+0GP6FJBY09vf6j+Xea2OfK1328vL2unNZ0YqiQNSL7eHDh6VevXpGPIoXL27+Ti2wOUZHiFgRjDEdIAKxd+k4qZY79j657uwhmxIR21P7lsjzd18nMRnzyv2vzJND1rF7cq30rHKF8zwFpM0730ticQZHNn0m918f+1wxWW+VV39MKkdNURRL1IvtJ598IlmyZDHiQWGY1Aa1cC+99FLz+oi/DVSf4cTuRdKhTGxSRPpct8qLnyesuXtMNi+eIm2qFZbcV5aUTmO+kXiXlP9WSZcKl8UKaMwV8sS4HySxfa9/Nn4iza6zYltcXlm0z7lFUZSkiGqxJdSKnX+Eg35iW7dudW5JXeDaMEKaPn0iXR7+kVXTeskt+dKZ+11YsLJ0e328zJwzR6aNGyE92zSWMrcWl8rNusrMpQGqfP23RnpUtpbt5dLuvcWSWA2yw+vmyj3XxIptumylZNiyQJXFFEVJSFSLLT7QJk2aGOHAJxp0TKvH/Prrr8bFweusXLlyIj3Mjsj6ryfL8x0fklrlSkjR4mWkVsMm0rzlQ/JU71dl2oJV8a1Zf07vkpcb2NY9l8ojYxYmmh22f9VUqVcgVmwz5qkm47ekrs1ERUmtRL0b4eeff5YJEybIH38EyJhKRbzyyitG4OhhRvGaRDl9TPb/sVt27tgu23fskj8OBhMtcFQmtiku6Y3Y5pBmQz+TxCR0z5JRUjFHrNheWPgBWfCHZpEpSjBEvdimFX777Te56aabjMjRCy2ctXVh6dDGTpxtOqnec4YkVuF2y1cD5RYnqeGSOgNkW3hfhqKct0St2FKLgNoDL7zwQshVtrzmpZdeMiJHQfO5c+c6R8PDvsWvSfEssSJ6U6vhsiWgQfyfrJzyhFxiRDmDVHv+E/lbcxoUJSiiVmx/+eUXky2GuFCDAMsxtUNKcfXq1eW2226TZcuWOUfDw8nDK6Vb+dzm87io9JOy+LcAW2Sn/5bP+tWITX64qLi89vXOc6YFK4oSS9SK7f/+97+4GrJkj7ktPoP41apVSxYtWuQciQzUTohI1MTp47L4rRaSGyHNXEZG/LDHucGPYzvk1QYFzGd2Rb0X5OdDWhhBUYIlasV2wIABki5dOrn44otNOJXbhouTJ082IjRy5EjnSGQhpTjcacWnfvtOniwX26anZv8vzopIOLL23djNsUxF5fm5G9WqVZRkELVi26BBAyMqNWrUMJ1u3TJs2DAz3+OPPy7Hj0d2h55+aGS9MX7/PbzdcTd9MlBupdDM5fVk2jq/3a8jW+WN+2/wvcesUqf7B4kWqlEUJTBRKbYsxW3hmQ4dOjhHQ4dOuXTfZb4SJUpEPIyM0os2641Ns/Dytywa11mK542RXMWbyGvjp8mMSWOk411Ffc95lTTqMV5+0dBaRUk2USm2L774oolXRawaNmzoOoxq165dcWFZzLtq1Srnlshw6NAh87p5voIFC8qmTZucW8LFcdn07VTp/lB9qViholSuWEnqNn9aRs9bnnhihKIoSRJ1YouwVqlSxQgV6a9kkLl1I1C/wPYPY4wfP965JXKMHTs27jmfe+4552iY+e9v2bNji2zZ/pscdu9pUZSoJurElvjaN998UypVqmT+PXjQfW7/W2+9FSe0jDZt2ji3RI7NmzfLDTfgQ42Rdu3aOUcVRUmtRO0GWbignkLLli3jie3NN9+cSP2C8MHzWgsd61xRlNRNVIrt9u3b5YsvvpCjR913Gfjrr7+kcOHC8cQ2T548sn79eucekaNZs2bm+e64446wRFQoihI5ok5sEVgs0Xz58sn777/vHA2d5cuXS9assS1p7CAzjQ4LkaZr167m+a6//vpUX0hHUaKdqBNb0nJtucJnn33WORo6w4cPj7c5ZgfxtpGG1utEI9x7770pbtniC9+7d2+qLVOpKClN1IktYVq33367EcQuXbo4R0OnRYsWZwktg75hXgjg/v37XWe/uQWR5cJ15ZVXmo07RVHOJurElkLcpUrRxjtGevXq5RwNDVwSJDEkFFpGoUKFZPXq1c49I0tKuhC++uorU/KR90yBnD17AtRUUBQlOsW2dOnSRhxYfrtJrSW+9rLLbO+u+IMiN+HwCZ8LioqXK1dOpk6d6hzxBrLwWBlccskl5v1i1eK/VhQlMFEntj/88INcffXVRiCIGiAqIVSIr7WZaIFGOHzC54JKYzxX2bJlTZRFpMEnS6eIkiVLxnuvAwcOdO6hKEogok5s16xZE5daS1LAhg0bnFuST9u2beMJTsJx1113hb2jQkL69u1rnosKZvXr1zf+00jBZ0ckhy1NaUfFihWN71hRlMSJOrE9cOBAnFXWu3dv52jyOXz4sCk67i86CQdiTo+zSDJ9+nSTdszz1a1bNyJii5C+/vrrcsUVtgPvmUHYG+3gFUVJmqgTW6CuAFW63GxgLVmyJM4dkdjIlCmTfPjhh84jIsO3335rrFrCzyLxXPPnz5fatWsHfH8MTRVWlOCISrENB2x++cfXFitWzCQXkKqbOXPmuOPhL4EYny+//NJYtow33nhDTp8OT0lvNhKfeeYZyZs3b9x7STjInPPCT6wo5wNRK7Ys70P117JJxOYXgkO2GCFkhECRLMGyfsyYMZIrVy5zOwW+cV1ECjarrPjhHiFKwA2Es02aNEmKFi0aN2+ggbh7kSWnKOcLUSm2RCSQrksB8VAaPdID7KqrrjJWnxWcjRs3Gh/t559/bv7Gj4nllz17drOxFCmonZszZ05TTBzRd1PvYeXKldK8efM4H3BSo3HjxqYuhKIowRGVYjtu3DgjGDly5DA+z+TCJhSba/4bQ4geYksjScuKFSuMf5hi35ECK3vKlCnGGg01VRYrv0+fPgE3wAINYmsj3dhSUc43olJsJ0yYYKw34my/++4756g7AoltWoHkjkCiGmiwGYcwK4qSPKJSbLECrdjiUggHKSm2WM5uOu1ywXnnnXdMYkKnTp2kVatWZ5WNtIO6EhpTqyjJJyrFlqU9YoufE+ENB+EX21Pyz8H9sm//ITmeRIDB3LlzTQgaiQW//PKLc9QdH330kUm/vfzyy+P5b4my4DZFUZJPVIqtjSRgEENKeUC3hE9sD8vKBVNkQJcnpFWzRlKrRi1p2WmgzF72q09+z+bGG2+Mey+jRo1yjobOggULjHiTHdezZ0/jNrDzE5scrtAyRYk2olJs582bFxeaRXwskQRuCYfY/rPlK+n/cE0pVuR2adK+rwwb+bYM69VSbswWIxcVqiajFsevqEURHduSvUiRIiaawA0kMOTPn18effRR09aHSAsrtNTNDcfnpCjRSlSKLZB+iohkzJgxLEtjt2L768Kx0vjmfJL7+joy/KvNcqYS7hGZ1buWXOh7rfnvGiRbj56xLAlbsxEE/fr1c46GBkJboEABY73a8DEy0qzYjhw50hxTFCU0olZsKbhNEZf27dubguJucSO2u78eLrULZpCY3OVkxI9nbz5tnvOC3JTRJ3pZ7pC3Vx92jsaGll188cVGDEmkCBVC2CgV2bp1azl27JhzVGThwoVmbmpAUAtCUZTQiVqxDTehiu3fa6ZJ01ty+EQth7R8e6lzND47P31NSmXFwrxY2k7a5hwV+fTTT00hGLLYZsyY4RxNHli0VmgTdgRmw61MmTIyefJk54iiKKES9WJLNtjMmTNdJx6EIrb/HV4t/epfZ6zHfNX6yppEqjFunPW8FLsAsc0qTYYuc47G1mcgWgDrlnTh5EK2Gz5af9eBPyRJuCmurijKGaJabP/55x95+OGHTQFwCoG7Iflie1S+HtxUcuMTzVhQun2U2ObTCVk4+jHJz/1isknT1890Q7B+ZyzTtWvXOkeD47PPPjM+2gcffDDiNXcVRYlysT148GBc+cD77rvvrGV0ckiu2P61bpLUuyK2atil1XrJyv2JhZ/tkUmdK0l6I8oXS5sJZ6pskTJLFEIgF0BS4H4ghlaFVlG8I6rFlk2yJ5980ggeTSDdFFZJntgelqlPlo0V0PQF5NFRiyUxqTy9b7n0rOGUOcxyi7y8KP4GGheM5BSf8RdadREoindEvc922LBhRsjIjiJlNdSg/eSI7bG170jVyy+Mfd5izWXOlsSt0n3Lx0uNvLgQYiRTwWYy/49YgaSLbXK76uKjxeVAOq5atIriLVEvtmwyGavRNyj+HWrlrODF9oh83LOOZEvPc2aT2j1mJmrVwop3WklO5/Vd3fQNOeR7edu3bpYqVapIjRo1ghZcGlvio6WHGL5qRVG8JerFlo0l/J6IGWIUaueBoMX29y/k4VKxsbExMdnllpotpUunjvL000/HHx07yTOdnpD6t+Zz7ptTWr+3Uv46fkJaP9jSHCMSYdOmTc7EiWMtWhVaRUk5ol5sgThSYlURr44dO4ZUKyFYsd08s5cUNTGzMZL7mvLyWLfu0vmZTqba1pnxjDzbubO0u7dcnFUbU6CuzNn2r2z/dYdkz5bVHAumgDdRB/hoEVr/hAVFUbxFxdYHflo6FCBgWLmhdDsITmz3ypSuNSSzEdDMUrHjB/KP77lPnz5lXkO8ISfl6/71nfumk2KtR8qekyLz5sSm0JJmPGfOHGfewOA6QGgfeOABVx0cFEVxj4qtA0VWKMDy5ptvOkeSR1Bie2CJ9KhzmRHLmCzXSOePkugXdmSJtC/ruBCyFZP+83aaw60fbGWO3XbbbUmmGdMI0lq06jpQlJRHxTZMBCO2/66dLc1ujK0Pm/nqBjL918TdFVumdZRCF2LVxsi1jfvLL0dEDu3/I67wDJ1vE3N3WIu2RYsWKrSKkkpQsQ0ADRqJR01OokAwYvv7d2OkihPGdVmNfrIlscCHExukf8MbJJ3vfjF5b5NBn8VawJMnTjSPzZQpU6K1EKhHiyCr0CpK6iJVie26detMVtT3339/1qB9zfLly0PqhpscaAVevXp1U+CFtuTBEozYbl8wRMqYzbF0Uqbjh5KYF3X7//rKzTm5Xxap3nW62EbopBYjtrQZD/Q5YNHSYQEfrW6GKUrqIlWI7Y4dO2Tp0qVSuXJl0yKcQtX+o1ChQqb1OF0DSEKIJMSt0mIGUatVq5bJMguGYMR211fDpVw2RPQCaTRkqQQybE//s0r61i1knv+KGt1kyb4zSRa08yldurQMGTLEOXIGCtFY14EmLLiDz4+Lbjg6eCiKJcXEdtu2bTJo0CDT2fXmm2+Wa665xjQTpOTfTz/9JEuWLIkbWLQUXUFMwtUNNyl69OhhxC5Dhgymq0MwBCO2R1fPlMaFENsM0mzEGueoP8fkmyH3SV7fc+cp3lxmrDu7ElkgEfj666/NZ3P//fe7avwYzRCvjGvm+eefNyF19erVk99//925VVHckyJii4CVKFHCCOwjjzwio0ePNj90gu8TA8vtpptuMqIWaRCvSy+91AjuuXb9LcGIrRxdIy/dc42Zt2yXjyW+zXxSfp7eXW7KHiO5SzeXySvO1EA4cOCA7Nu3z/krPnwuuA4opKNCGzw7d+40v7nOnTubYkS4ZrJly2a+G0ajRo3U562EFc/FdvDgwXLJJZeYQijUkg12qYYAIrZsXkUaUnaHDx9uYlk58R577DET+5oUQYmtjx2fvCS35sogMfkqyeD5a+X3P/+U3TtXyaQXH5KiBfJK8Xt6yZdbz7gBsORxHdBaPGEZRcK7cLsQI6yug8DwvVGrmN8a7Y+6du0qFSpUME0tc+SgaHusuPqPW2+91bi2FCWceCa2iGr//v0le/bsxiXgL15s5jzxxBMme2ratGkyZcoUk9XFv7NmzTJZUJwkNGk8l5iFE14PrgTq3Z6rB5cVW1rM8F7x/bI0/fHHH41rhBN90aLFsnXLMpnZv7VULXGTFCpSRqrd1UjqVKsg5arcLb3GLJA/zjQfM5uCpBAjALwO/NoWLj5YtLgO1AKLz5++CxgtgygKj0sIH3zOnDnNZ5hQWBMO0ppxXSlKuPFMbCnOzQ8+Ya8sRLdPnz7G50gLFrrdsqTjX/823cWLFzfZXbgcvIDd/oEDB8a18maDjqSHN954w/iUE4LY8rrpSEvKL9YRf1Pchg0+uuAyihS9WWrVri6PN6sjXdo/JuPenyRfLf1F9vmJLNDz68477zTPTRrxSy+9JCdOxN6J3mCEdzVr1kxdBz6w6nEJ8N106dLFFOjJkydP3G8n2EHK9uOPPy7Lli0zF7rFixdH5SD6Z8OGDedczSnJwxOxxT+G6PTs2dM5cgbCqzgx2GnHGmTjzI7NmzebEwihYyn/888/RzykCSvx5ZdfNmKJ4JcrV86ciIhu+fLlzWYeFiVuEF6PBbHlYoDYvv3222YOKoph1WJlEdZGaBZlHHs/95yUq1BRrvdZws19lul3C79xZomFCAgE2wo9NXetm+Dbb781z4/Quqm/ez7B6iFLlizxhDOUwRxcILnIX3fddVE7bBlOTfEOL56ILTu8/IAT7u6uXLnSWLRPPfVUkqUN3333XbNhNXToUON/w5+KuyHUcoiJgbjTSRYxI8SM2gMILhYPrg82qngPs2fPljvuuMP4/WwsLsLLBQU3QjDs3bvXuEfq169vfNi0Dbd88MEHcUteYn6t0LIZho8WoVXXwRn4XvBtjxo1ylwE+R6oT8yKIKGgnmuwYYtlx+qBC1s0Dn5nGA/Bhj0qwRFxsaUbQNWqVY2l5g+767gNWPIFIxxYhAgz4WH4UPH9InrhgogDNqJ4Tfha8fvx2tgke/XVV517xcISf//+/cani9WN9Uon2mA2yBJClhoXG6z7uXPnGn8vflhO/Lx585okD/jmm2+MuCO0uhmWOPze+G64kOO6IsGDCyaNLcm8SyiuCQeWnf+KRVHCRcTFFj8j1iI+RwvHyIbCAqEATLBgIduTAmszORleSYFrgmQAXAT4ajlZSbDgefDbWhBUNvIaNmwYt8Rq3769eRyvhX9D2cDDQkdwCYVjIxBLl+fu1q2buR0/mrVo1UebfBBg/OysiOjXVqlSJXPhsr+lhINoBS62ihJOIi62+GvZ3PIXLfywtN/++OOPnSPBQfEV68csWbKk/Prrr84t7mAJj+XD0pGeXjVr1jTP0a9fP3M7liQuDDa68OVOnTrVuDPY2Bs3bpxZ6uNWICY3ue/JwgWIzR17wuM7xGXBzjhujaZNmxqLWnEPKyk2wNisffbZZ6VOnTpm1WQ/ewYWsfrElXAScbElhAvfGZYs4A8ihIvsseTADjGiw4mAPzN37tzGR+cWrJ4mTZqYWFVcG1itPEffvn3Nkh5XBZtkbBpwzPqdsZAIy2Lzi7Au3BpYn7gUQoXXYgWX94Y1RroyQqsnfuRgJUNYHaFirJ4wDviNJrc9vKIkRcTFdsKECUY8KOyCQGGxPfTQQ0EnM1iwhpmHgV8Vi5KTwy3r1683yRIjRowwFwSEnKwifH5YN4RYkZ21evVqc3+W/GzCcJxNGYLl6QfGBh6ujaSy4IIBC5fnw19MIoP6aL2HZpq4jHQ3XgknERdbfIz4I61QEjvKTnxyeeWVV+LmIBYyXGCJ4h5A2BBLrMju3bsb/ymvlU0rG2+I6CG0WLAILVlGXDzwSWMd89oocegWXC7MpbUOFOX8IeJiC2xAYakhIOShhxK25C+2WJzhgjAr/Mf47YiTJaKA3Ws6NvjH9LKMxyL3t2jZ4LvrrruMJURBHV6bW8uWsCOSH+rWrZtoPQRFUdIenogtkF560UUXmfjHSZMmOUeDh1hbK7YIYrhy19kcY/efiwEiy4YJ8bb+ILS4GNhEQWjpwMtroAQjS83x48eb98Vrc2PZEubFLvk999yjPlpFOc/wTGzxdRLAjyCx7GZTIjkgcFQK4/FsuLFZFQ4QOOJZEU52qBOCFW6FlmgFRB4fLxY6gkhkgq0Whb83VLFlblwXKrSKcn7imdgCpRUJsUKYSGdNbgYYj7GVuCiBFw5wARBGRpGchGC1IrS4DhBDEh8QWlwO3EakAkKLVUtyA4kJZIUlF6xlog4QWvXRKsr5iadii5WIoCCWiGYwdWL9IcwK/yq+UkLKwgUbYrfccku8jTtED6El5IvsLSxaUo6xaBFa4mkJP+O1EJfL8h83RLDFxi0kLFjXgcbRKsr5i2diiwVJLKtNSmAQpRBsZAKFXAgdY/MoUNUtNxDmQ5qmzdgi6oDCNwgtueK4MLBo8esiwogvFjpC+9xzz5mNtaefftokNSQngwy3BRYtnQFIklAU5fzFE7FlVx1/LT7Xli1bGqG1okvMLP7XQH5Kss8GDBhg/KmILOJH9EAkoFoXAkp/L2oe4D9FaMlSs0KL5cmSH/8tQovrgYyydu3ambhc7hes2BJ1gEWL0KpFqyjnP56ILUVoiE2lDgLLcdJbqZLvb+ViWRLMj1hRZwArFnFGYPGFNmjQIF7x7EiAT5jXwgYcSRO81rJlyxr/MMkGPD8iTHYRyQbE2N59993mQsF7C7YQDULLPAhtKGFwiqKkPSIutiQFIJb+4V5UusK3SfEXNpas4DLw5bKrT2rua6+9ZpbtJBUkN+MsubCMJ1kCnzDWKrVrCQkjM4w6tMTP4i7gNXKM5T9hYtRSgGDb4uA6sEKrFq2iRA8RFVsqJ2GdkoSAwAaCMnj+YmsHli+WLq1xKCoeaRBJXBq4DujtRTk+3AIcwyq3r4vyjlwkEvqNgxFbisogtFjDVqQVRYkOIia2WKNsHpEGywZTYmDd9e7d28S6+out/2ApT4WtSBYGoUU4G2V0iEBgKUhDHVvCwvzdHYgtabREEfhzLrG1m2HMq0KrKNFHxMSWKAN8mi+++KJzJGko9EJNAMKrEquwzyYZvlyy0aiQFQnocYZosszHCg30Ohi4EohesHGxSYktiRPMhdCq60BRopOIiS2ZVAhMcjuV4npgc4ri3cSxBhI6yhmyyUZrHCzScEHcL35Yntdf8PE5t2nTxoSuJWx/bTspJCa2WLRcJFRo0xaRupgr0UvExBbXAFWzQv3Rkl326aefmsZzSVmY+IQpUrN8+XLnkcmH0DSaNJKU4D83VcCIgmCDzIIPmS7B9j5Y2YBlnlBs1UebduBCSPgetYkJRSQGXAsBKeEkYmJLVhWJAeGAzSiKOtN/zF8M/Qcxq7SsIbMrOS2YCTMjjjfhfLROIYKCkK+EEPtr70cYF1jL1nZqsIW/qQpGQ0IldcH3ygWaVRTuIFYelNq03yt+e/3elHASEbGlaha+14kTJzpHwgNlDTk5qE2QmF8XFwDlCakSllRWFskJlEVM2AKbJT+ddOlFFggiFUjZtfcnYoIupGzeEStMfVyElxMXq1gt2tQBK6U1a9aYxqGE+FEMie/LdjH2HySt0B5dUcJJRMSWrgdkWEWqaR4WB+11cDHY5ogJB+UcqXdAlteWLVviit4QcfDkk0+eFd9LNATNFrlvIEhawHImDtf/cfiP2QykIy+RC4g8/mQy5rR6V8qA1UpVOcSV8pessIidRkRtKczEBhffSGUpKtFNRMSWRnqIbTg3rwJBogNtbXr27GmENTFrl8gBsthIkmBp738b2WBsfNHjLBBYuISA2f5ndtB/DOGlEyuFaaingL+Wpen777+v/j4PQVxZTeA/J+2a9Gk6HXPBTew3EWiQUEPxIVK0+d75NxoHG8XJLYGqnJuIiC2xqvgvER2vwIrGosaFcC7rxQ58tWyIBIIuDfhsySRL+DisVpIfxo4dq1ZQKoALpf+mZaiDPnnsC5QuXdpYwtE6OHe5YPl3KlHcE7ENMvyq9OvyGixMUoTxyyV0FdiBdTty5MhEfbqErRFnm9AqKlWqlPEZa83Z1AUFi8hExD3ExTGhHz7YQfIKNS/obMzvg4t3NI5hw4YZI0TD38JLxMSWTSZ8mIH8tkQLEE5l24JHAny0P//8s3Ex4Ff1P6HIRgsEflf8sglFmmI4FKnhpFZSN7iusHSJwaZ6G1YqFmugjbBAA7eQLqGVSBAxsUXoqCkQaJmOyN5xxx2mpUykwYfqX9uADTW6LvhD7QX8uQn9skQ2PProoxFNE1YiBxdcVi9sivJbw/JldcL3jAD7f9f+gwgTXUKnMk6dkH8OH5A/9x6Qv/9NXocXNxw/clj2790rh/46Kv8FH1EakIiJLUttrAQyshKCE54NDJbkkYZQLTbI7IlEPC4dHwCXAxYQtRf8TzbcB/h+k9t1QUn9sKoisoSwxA4dOpg6xWzmksDi/xvo169fwBhrJWU4tXuFDH68ltxZqa4MmLNZ/nOOR5bTsnDkk1K9YkV5oNd7ssmlVyViYgskImDBJgyBYqcXR3woG2jslFLg5plnnjEbWFgtSUFpRH+3ABldZAph3dKKxr/IDINgdja+1LKJDhBfVmH8lsh6bNKkiYlQwe1ApIuSOjj5y3y5r1DsOdpgyE/izWXwtEx7orh5zvzVu8lPgQsXBk1ExZbmh4TTzJkzxzkSixuxJZXSCiNlELGQKe6NT5X02ITWCMLqH+5FIDvJDDRxtMcY+GWJyU2qQply/sNqh6xAwvjUd5t6OPX7Knnz6bukZu1G8urHWzyzbGc8Xdrow9V1e8my1Cy2JB9UrVrVFJXx3/l3I7bslgbyt2Gh4i6gDxh57ZwsbM4xypUrd9b97aA7LrGVBMAripJKOX1KTvx7zHcxPCYnTka2kcAZ0pDYAq1kyNzxbxXuRmxJjZ01a5YJKyPaIbHwLurOYq2SZUbCAxY2vjkKgnM7PjrqN2B9R7oLhKJEEyf/PSKHDuyX/Yf+kuOBTq1TJ+XIX/tl34FDcjTgrtNpOX7koOzbf0D+OuasVH1ie/zYEfn7n6Ny/D//SU/Jv/8c9hl2h+TvY3727unj8tdhjiVnM+2E7zGH5Yjf4njG06WMXqQJsQXi9ogCsAW32SCj1i2prW7AF0xlMDYzcCXgIvAXXP+BuCLQ5Ly/8MIL5rnVL6so4ef4urnStVUdqdfoYRnz7dmhnwfXzpeeLepLnfqNpe+0s1eU//6+Uoa2bSi1az0i7y3e4ZNeH3+sluGd7pY69e6R1+ZtlTMSulfmDGov9es3lZfnbvbp5W75auqb0r19a2na6G65t+Xj0mvQKPl8ZRLZrEd2yhdTR0iPJx/xPaaR3P/IkzLw7TmyYf8JmdO1gqTz6UeaEVtEjSQHBhsSNDlkcwqrMlwQ5kOUwYQJE8zmGREGpGv6Cy7dczds2OA8QlGUiLBvvtx/U0ZzzlXpNlfia9QJ+WncE5LPOSevbjxMEsrxzq9ekhu4PWsleW/pXnPs1ObP5IHrYx9z9+tL/TbIdsor9a/2HU8vlZ4YIiM7VJacztz+I1fh6vLyvLM304/u/E76NS8ruc96THq5uWFn6XB3UUnv+7tgvTQitkDeOj5VW++VqIJIWpZscmBN4yogGwxXBr5czf5SlEjzt0x4PNbXeVWtXrLafzfr5B6Z/Ew5I2BGBG96QD6PVxjvmHwzqI5k8N12+d39Za1Tb//kli/kkRJkdGaS+0Ys9xPbXTL03lt8988o2XLnlot8t5e4q72MnPo/+fSTD2Vo52Zyfe7Y58pZsq1841+y5OhmGda8qLFcYzLkl9qPPi8T53wq82a+I882LS2ZfccvyBSbDHNt/TQktlieFNEmftWL+EVa7OAXptwjO8wkLiTWdFJRlPCyfWoHuTRdjKQvWEcmrj3jYz31x1LpUj67xGS8QDKlTycZcheTl771M4CObZOXaufxCVxWaTLoE59sx5Kk2N5X3IhzTEwWqdZpgmw74qfup47IgldaSIEMvtsvLCjd555pHrv9oy5yNccz5pcWL8+TvX5xtKeO7pKp3WpJDjNvGhNboCwiS/mEoWDhhrRa6skiuIqieM+pXTOk/mU+ccxYSDpPPhOv/OeKd+XOrDGStXxdqVXsWkmXLps0HXymeeqxrVOlFpZotlIy+PMz6fxJi+0tRhAz3dBQpm5yDvuz8h2pcgXx9Hmk1XDb0eWAjGkV25nlkkpPyfeB6sTv/0Jal0T4Y+SatCa2bGgRhtWlSxfnSGTo1auXaXHjRQt0RVECcHq3DGlILPsFUqPbVImNWD4pqyc8LNl84lWu82gZ2qm+XOj7/y0thouV1a1T2hn/aY472spXfkv+JMW2WaxoXl2zl6wKFP2w/UNpUoQMwZxy3xBH2I9+K21K5DKvr1rnaXEWdHz+lalPpLFoBAubY8S0tmjRwjkSfkhKKFKkiFq1ipLCLH2ziWTyCdWltXrIUpNEelCmtLneJ175pMP7K2XTnGflUoS1ZGv53KjxUZnyeAnf7Rnkziff99meZwhGbIs0fU22Okfj8etsua8YleByyL1DYhu0ytbJUq8g/tjccv/g+LVS/FnyWkPJ6Jv7qjo905bYAhW3qlSpYiISIgHNH6nHuWfPHueIoigpwf4Vb0npTDESU6CuTP35iMipVdKhiG85n6e8jP7Bd/7vmSSVcvluz1Nahn13zGeNLZG2xbNLTIYr5Zmp8WUzabEtasS2WLOhssM5Go9AYrv+Pal+Jf7YS+TB4Yl3AF/7dgtjfV9VOw2Kre1iS6xtuCE5gXjbBx54wDmiKEpKcXL/KulejuX75dL9w7VyaMu7UjKDz5It3Ua+MZbseulRgaLv+aTNu2vl6NoRcmv2GMlQsIHM2GWmiCPsYvvrdGlYKJPvWE5p+vKXsbG8AVg6pJFckFYtW7K/sDxp/R1u2BgjW4ymfoqipDCnDsjs3hWFMK+K3afLF8Mfkawx6eW21iMldt15QuZ1ja24V7HLGHn/1UfkYt//r238uiRMQQi72P63XDqVo39hein12Cjn9STkX5nSLrajd8G05rMFEhnovBuJ7qUUjaZWKVEPiqKkNKdk48f9pLDPms1yx8PSpup1EpMpnzz4xpll+/a5nY3fNl/pilLx1hslY7osct/Isw2xsIutT0jndq1kQsayXNtIpqw/4hw/w+nf5sr9N2czcxdKa9EIQMlDxPaHH35wjoQPCoVTr5YECkVRUp4Tm+fLg0UukJgLskn2TOkkQ4EyMnTRmWSmv7fNkoYF0klMhvSSIV06yXjxnTJ23VHn1jOEX2xFDq96V6peypwXSNFGfeW7nUd9lwc4LSf+XCFDH7zdbI4xd5qLswX6g1HDAGEMN1i2dGVQy1ZxAyGKtKfXAkVh4MRWGfHILbFZWr5xaam24p/DIH9vkZfqnynuf0nVPrIpQGJpJMSW6Idvhz8sV7KJ53v8xTdWkgef7C49nnlEqhXPb45lzHyhee1pUmyJFqCDaaDeZG6hCHShQoW0w4KSLMhopAg9qy5KeJLpWL169Yj8RqOPE7JoxIOS3SdYiNcNLcZI/Darf8m8vlXMbYzK/RZIoIYIJzd9IvdeHXufuq8t8RPbHTKwTgFz/LI6AwOHfu38QOpeFvvY2gO+cQ46nNovC0Y/K5WLXm58y/Z1xKTPJSUbdpS+rcuYv7OXe1p+dFldwFOxJV22du3a8thjjzlHwgsRDqTouq0mppz/kMb94YcfmtKfRK8UL148XlNIBDdhhxElNP7e8r2MGdhH+vQZIJMWJrQ9T8vva+fLa324fbB8tjFeoYQ4Th3YKh+91dd3nxdk+pLdflW/DsviD4abkNIRHyxOIOQOhzfI9BH9ffcZKB8sCty09cDmxTJl1BB5se9z0veFQTJ66gLZecR3fMUsedE39+AJC2S3y4rlnortd999Z4rR8COPBEePHjUxvP61cxUFKHw0c+ZM6datm6nPQYcP/67L/oPbtm3b5jxSUcKDZ2KL/4ue/DTYi2Q/+oYNG5p25Ep0Qpbi4cOHTSbh7NmzpWvXrlKxYkXTey5HjhwBxdV/ULvj22+/dWZTlPDhmdhSOLxAgQIRs2otFAinaR8dHZTogOU+/eewXHv06GHElaaNdOcIJKiJDboqP/LIIyYGnNrI0TrYaMbNohuE4cUzsaU9DVYnEGO7aNEi48PFymX5TxlEUnipN8vgBMJC4V/+5jbuw32pg2sfm7BcIycbrgTuq0QH/J6yZGG3ObCIBjtwK9BqCTcC4YnROgifpIYJ55oSPjwRW6xZmjSS3cWXSGdbCnvTuQH/GZtmtWrVMoW+cTOwE1ytWjXTLJJ/+Zvj3M597ePq1atnBim6iDkbb23btjWddr2omaukDuiCSyvyQYMGyUMPPWR+Zwlb1Acz6NbM75PEG0IUo3V89NFHJg6eGtRK+Iio2LIMQWjZFKNFjf9uL0s2/x96OAbLRtqUI76E8ijRB6sdNrfYjB01apQRXxp90oMuGAEuXLiwbNy40ZlNUcJHRMWWyltYoVibu3fvlnXr1pkY29atW5sOu+Ee1K9l15l25pRxVJ+Tgrtp3759Jolm5MiR5ndBh2UMADowBxLcSpUqmccoSjiJqNjyQ8fCtP7ThQsXSt68eeWLL74wf0cK+pzhppg6dapzRFHOgM+fDbU333xTWrZsKRUqVDA1NfwFl4gW9gwUJVx4tkEG+IGwKKZMmeIciRzt2rUzFgyVwBQlKdiEZcOW8p8dO3aU0qVLS+bMmc1KTFHChadiy6YVPrTKlStHvMst2WSIrcbcKsmFGN1PP/1UI1qUsOKp2AIWRL58+WT8+PERj4WdNm2aibfUWgmKoqQ0nostPPXUUyYUzIvqXCQ5UC9Bi4ooipKSpIjYsmlGiA3WbaTZtGmTXHvttSZtU1EUJaVIEbElCJ0QMC/EFsaOHWuiE7SouKIoKYXnYnvgwAGZOHGisTa9Cs3CN0yq8J133hnxjTlFUZRAeC627PRSKIRYxhkzZjhHI8+aNWvksssukwEDBjhHFEVRvMNzsaUE3vTp080GGfUNvAwcf/31103lsZ9++sk5oiiK4g0p5rMlQgDrlsIfhw4FrK8edghep7ANRW+oIqYoiuIVKSK21EkoW7asyfLCd0vFLq8El7q6FIgmVVNRFMUrUkRsKRpDsZhZs2aZegnkpVMgxCuXQr9+/eTyyy/XdExFUTwjxcQWNwJRCUBhGsQPwfUiWgB3wh133KEdHRRF8YwUFdv333/fOSLy5ZdfGsGl06kXLgUEnqI448aNc44oiqJEjlQjtkDSAYJL2TsvBPfZZ5+V6667zvRbUhRFiSSpSmwBi5N4WAQ30j7c33//3bwO2ulooXFFUSJJqhNb+Pzzz+NcCpH24ZIyTIueSHf9VdIWFL6nvc6OHTu0F5cSFlKl2MKCBQtMlAKCG0kLlwZ39KaioyqWrhKdIKhbtmwxK6u33nrLtDSnqwjNRjXFWwkHqVZswQsf7syZM03r5kcffVT27t3rHFWiASzXOXPmmG7MlOIkHNG/LxkNSocMGWKyHhXFLalabMH6cEl8iISF+8EHH0ixYsVk69atzhHlfIVkGsS1V69epjBRiRIlJGfOnHHimnDQVYR+ZYoSDlK92AI+3CuuuMIILjGy4QSxLVKkiLavPs9g6U9rpE8++UR69+4tVatWNdmKdO4IJKz+A7cS99eUbiWcpAmxBXy4kdg0s2K7fv1654iSVkFcsVz79u1rfK158uSRTJkyBRTUpAbuA7IM6STChT6aB1mWGqkTHtKM2ILNNAtnWJiK7fnD7NmzA4pncgeddflNXHPNNcafH62DDeo+ffpolmWYSFNiC2Sa4cNt3bp1WARXxfb8gW64kyZNkmHDhkn37t2ldu3apkNHIEFNamTJksVYx7iWVq9eHbVjxYoVGqETRtKc2IINCyM8x63gqtievxBdsnLlSmPxYqHVrFnTuBYyZswYUGT9R9GiRdWPr4SVNCm2QIdeTgrKNFIfN1RUbKMHNld37dplNs0QXzbBWC4nFpGA39fNb0tR/EmTYksfszp16hh3ApbKlClTnFuSj4ptdLNnzx6T2EI4WP369aV48eKSO3fuOMFt0KCBCRlTFLekSbFdvny53HTTTdKtWzeT+fXRRx85tyQfFVvFH9JziWh46aWXjNBSinPt2rXOrYoSOmlSbEeOHGlaoVOtq1KlSubECBUVWyUxcDsQTqYo4SDNiS057BT9bt68ufmbLB8skFBTKlVsFUXxgjQntmxYII50yoXhw4ebv/ft22f+Ti4qtoqieEGaE1vCvki7XLZsmfmb0J7ChQvL/Pnzzd/JRcVWURQvSHNi27NnTylXrpycOHHC/E3d0dKlS5sg9FBQsVUUxQvSnNhWq1bNxNb68/DDDxu/bSio2CqK4gVpSmx/+eUXueGGG4xA+vPee++ZELBQdo5VbBVF8YI0JbaIKv7anTt3OkdioTJRwYIFTVpmclGxVRTFC9KU2LZt21Zq1aolx48fd47EQheHMmXKmLqlyUXFVlEUL0gzYougli1bVvr37+8cOQP1Nh9//HHjt7UbZ8GiYqsoihekGbFduHChqfT17bffOkfiQ2k9QsA2bdrkHAkOFVtFUbwgzYgtSQyUveOxgaBeAhWcklsnQcVWURQvSBNii2ugWbNmpgNqYlXjDx48KOXLl092vK2KraIoXpAmxJbOtzfeeKOMHj3aORKYjh07mhqkyWnUp2KrKIoXpAmxpdgz/tolS5Y4RwLDfIUKFZINGzY4R86Niq2iKF6QJsSWkK6KFSues405dRJo0kcx6GBRsVUUxQtSvdjStpyatZ06dXKOJM7Ro0dNq5OuXbsGXXJRxVZRFC9I9WJLKBfW6tSpU50jSfP0009LlSpVjPAGg4qtoihekOrFdsKECaYFzrZt25wjSTNx4kS57rrrTHuTYFCxVRTFC1K92LZu3do04gsWitUgzjNmzHCOJI2KraIoXpCqxRZXQMmSJeWFF15wjgQHflvcCcGgYqsoihekarFdtGiRqfJFqm5yYDOtcuXKQW2SqdgqiuIFqVps6ZpbokSJZCUpAC4E6t7iUjgXKraKonhBqhbbu+++Wx544AHnr+Ch3i2bZMH4hFVsFUXxglQrtghm8eLFjRgmF/qS4bft0KGDcyRxVGwVRfGCVCu2M2fOlMsuu0ymTZtmEhuSS7du3YzfNrHCNRYVW0VRvCBFxZYY2sR47rnnJFOmTJIvXz556qmn5MiRI84twfHxxx+bzbWffvopSbFGbCnduH37dueIoihK+EkRsf39999NSBcFvwNBDYQ6depITEyMGenTp5chQ4Y4twYHlcIQdNqcY+EOHTrUuSU+06dPN/3LXn31VVm9erVzVFEUJbykiNhSKCZ37tymlU0gEGM2xvDZIrQIbp48eeTLL7907nFuaKNDMoQVbOYKxNdffy2ZM2eWiy66SK644gp59tlnzfMriqKEE8/F9uTJk3L//fcbAcyePbsMGjRI5s2bZzrj2vHhhx+aWgjLli2TChUqxAlmuXLlZNeuXc5MSUPYF50b7GNvv/1208UBobfPQ+lG/Mb4bO397PN89dVXzkyKoiju8VxsSTR49NFH44lboIGVuWXLFtPuJm/evHHHH3vsMSPY52L8+PHx5ktsMDfdHRo1ahTv+MUXX2zifM9V1lFRFCUYUsSNMGvWLMmZM6cRtSxZskjnzp2NOI4bN86MUaNGxWvs+MYbb8SJIG6Ft956y7klMIjxI488EvcY2ulgwdr5/Z+HjTRAVF955RW55JJL4h7HaNq0qRF9RVEUN6SI2B47dsyUQUTMMmbMaEQuKY4fPy6tWrWKE8DLL7/cpPImBpELZcqUibs/bopg+eabb0yhcvtYRuPGjeXAgQPOPRRFUZJPiogtYJ3azS9CrzZu3OjcEhisy9tuuy1OABHrvXv3OrfGh6QGf7dAjx49nFuCg+aRPXv2ND5lOwfhZ8G4LxRFUQKRYmKLUNLE0YoZUQDnKhyDhWrdD1YA6bwbCOJn7f3YKKMIOeFg+IBXrFhh/l21apXs27fPecQZEGvibu+991654IIL4uYZPHiwCq6iKCGRYmIL+EytkOXKlUs+++wz4zvFzZAYbFrZxxCyRbHwQPzxxx/xLGHidvmbrDQ23/gXEa5du7YMGDDA+IyJxaVDL26DUqVKmYsBIWF2jhw5cphQMUVRlOSSomJLNa9atWrFiVnhwoWNe6BGjRqmaPjw4cPPSqPFsrzvvvviHnPVVVcZCzUhWMmIp71fuEb37t2dZ1AURQmeFBVbwFLEYgwkbGyeIaYIMLG5RBU8+eST8vzzzxurM126dOZ+iDNJDAlZt26dFCtWLG6+Cy+80IR0Ee7FILHC+o39B/fjNeGySHg7kROKoijJJcXFFkaOHBlvuZ4tW7Z4ApdwIJIJl/iTJ092ZovP999/b7rt0rlhypQpxkd7+PBhMzZv3mysXxIncGPkz59fWrZsaeZaunSpsZjx01avXt2IfqFCheTzzz93ZlYURQmeVCG28N5770mzZs2kX79+ptIXy3XKJPqLrP/A4qRQDf8vUKCA8feGCqFlxNsuXrzYOXI2WMlssClKWgOX2qlTp8zADcegGh6by/z27WBjmP0SBi2pGIRR4u6jmBODPRWGNVhYURK9Q2gkY//+/WZg1DDYCGf8+eefZh+FVHjGnj17ZPfu3aYoFc8dDaQasQ0EXxZWL5tbpND27t3buBJY5lvRrVevnkm95QdhfxSBfgz2B8EPwf8HwOB5eAz35YfAj+DXX3+NG/wg+KHwAyFKgU6/CC/haFjHpAYziHjYsGGDGfiaGWvXrjVjzZo1ZlDsBouZsXLlyrjICAbpyVjUVCpbsmSJ/Pjjj2b88MMP5kJAbDEDa/27774z7YJI/iA2mIFLhjRjakgwvvjiC1mwYIGxxrkYffrppzJ//nwzSFUmuoPBhYY0ZsacOXPM50lqM4MEFAYlL+mAQeEeBtEeXBRJq2awamBFQHEhNi0ZJJIw2Hy0SStcVN9991155513ZOzYsTJmzBgZPXq0GWyYMggL5HtnjBgxwvju33zzTTNIcBk2bJi8/vrrZlVCgSIGK5DXXnvNFBRiELtNKvjLL79sNlUHDhxoNkIZ/fv3lxdffNEM+tvhlmKQSdinTx9TcY7B741BGCDhgxgADMp3slrq0qWLGbiWiKZ55plnTEsmBhutDFZUDCJncIFRY7l9+/ZmPPHEE9KuXTszqBPCaNu2rbRp08ZkSjLItiRBh/Hwww+bwX7GQw89ZM4F4s9ZjTGoJ8Jo0aKFNG/e3LjeGOxxYMgwiLBhkKzTpEkTueeee8xgU5hwSQZF+xs2bGjGXXfdJQ0aNDB1Rhicb3Xr1jWD85LBJjN7LzVr1jQDtx6rQUa1atXMwHCiIBSjUqVKJpb9zjvvNKtKntuNsZRWiOGHkNgHbz90/w/cftj2g+ZDth+0/ZD9P2AGPlc7/D9w+6Hbwd/2C2DwWJ6D2gXXXHONeQ6qeOHLtWJLRwae84477jC3EUXAoBYCgwgEKozZQSUwBu127KBIzS233BI3br75ZjPw99pBLDCvww46+OLKsIM2PIzrr7/eDDb7GLw+Oyj5yMAdweA9Mag6ZgcRErgsGFdeeWXcIIKCQUIHg2gKBla9HbhBGJdeemncICOOMpV24KvGb20HBX4YuGYYuFMY+KvtwH/NIO6YgZuHkTVr1rhBJiDRIbaoD4OLoh2sQhiE0jH4DhkZMmSIG6xWGPjirT9eR3QMzn0MoPMZ3/sM/OZ16NChw6uBEccK83zG9z4Dv3kdaXMkjJ4IdWCZup2LObCI/VciWKzWgmVg0Vor11q91gq2VjGWNla4TTBhXn+rmoGlbS1va4lby9xa66wEsPTt68GSt5EpdtgVAPezqwO7YmCwgmB1wr/W+ub//qsQhl2dsFKxqxa7kmGwsmHFxGrFfjYctysjO+yKidUTqymG/wqLFRcrOf8Kd9yH1Zr/sKs4u7Jjlceqzw5WgawueW/MwXfDfVgxli1bNm7wNwO3HqN8+fJm2NUoK1NWurxe5uGz5n4JV7h21csKmJV1Uun35wsxvHH7BfLF8QNgCc2SnC/ZLv243X85br8gu2zn/gxqEtgvhQ+ZD5P5+OA5sbivdSEwcCkk/PAZuAZwS+A64MvDrcHz2h8Cj7WuDf5l4O6wviZcIAweh1sE9whfKj4uXpf9IXBFxb+FX4t/Gfi8rP/L+sN4HD4yfGX4zfC98TqZh88IPxj+Nvxs+Nz4Pz4465PDP8fAV8dj8d/hwsEfyGtgHoQFfxx+QHyADPyB/I2PkIG/kIEP0Q7mwPeIK4h5EB+eA/+j9Uey8ch98FPis2Tgv8SXiU+TgX8TPyj+QdwCCBTPjy/U+ka5HX8pflP8pwx8qfhV8a8y8LXik8V3aUPteI34Y/HTMridgQ/XFgbCr4uPd8KECWbg98U/zOvHdYII4lfFP4zPmGF9yPiUKc3JsH5mW0oTPzT+al4/gsZr4vP43//+F+fD5nYG/m0Gvm583vi+8YMz8InjO+d14yJC2PlM7XEEg38Z1t+O7x0fPL54fPIM/PP48XndnFf8fniP3Gb9+9bXb33/7AOQ0s6+gN0jYL+AkqO8XgSVeXg93Ie9Bvr4cbvdd2CwH8Fgb4J9CAb7Fuxv8Fo5hznf+W2wR2H3Mrid/9uNMrtHwgYaG2lsqrHBBrxWhJt58JtzPzhXhuj5TgwfOl8uu+32S2Xjhx8vfkYsA04ovni+XDu4D4ONIgabRgw2kHbs2GG+aL4sfsiIOScvJyn3tTuR/MuwO5T+X77dxLKbV2wI4U9FkDhpeJzdBLMjsR8Dgx8Du7D80BF8fpi8Hn5I7MzaYXdr2bnlx2FHQvhBcyW384S6o8oJgGjbeUKFz4yNCn7gfF+hwufPBY4Lo5vXw/fDxRLrj+8rVPidcOHlIsImWKggOFzM3c6DeGEcuJ2H8wNDw+08nG8YHszDRTFUOHcRSOZhgzFU0ATOC7fznI8EjEbgA2NpgAWJlRIqXH2xcDnh3MyDsGEt8wViOYUKloGtBoYlFipckLAA3M7DxQ3hZx6sw1DhQmjncSO0XHDt+8JyDRU+H/s5uxHscM3D925/P1jmocI8/J6Zx80FhN+zXV2Fax43gs15yvnOPG4EGyPMzoPQRrslm5CzxPbnn382y3UsLZZ9oYK1jKsBS+vtt992jiafcM2DIOH2YJ5z1cNNCv953Ai/FTa38yDYzINLxK3wI2xu50EgETbmcSP8ViCZx43wW0FyOw+CxDxuLX4rbOGcx41g+8/jRrARWvy1buc5n4kntpxwOM9ZqrsRWuZBsMM1D8LvRiARAASSedxY2AhAOOdxK7QIiRVsNwLJCWcF241AhmseTlwr/G4EknkQbATAzTys9LBo3QqknYcVoxsLG1ecFX638yC0vB43AmnnYQWrQps4cWJLsD0+UT4wN8KGJYqz3u08WJB2HrcWJLuwLG3cCBLzcCFyO4+9oDGPG9eBvRAxjxthYx5WDszjRpD853G75LcukXDN48byYx4uIG7nsRdG5nEjSMxjXSJulvxcGO08bnyr/vOcqwlAtGPEluwqdvL5wNxYomRFWWFzI7TMYwXJzTxcQKwguRHscM2DiwaLlnncCDYXNDuPG8FmntTkM2YeK0huhJ8LYzh8vVxArJBgQYbqg2Qe6+t1Mw8rNH+fsZt5/H29oc7DhQiLlnkQfvXRJo0RW3vSubnicqIgkCxt3Fq0zMPSxq1Fi0C6ncdabMzj1qJFIN3Ow4nCd8U8boTNzsPKwc081vLj9bgRSCw2BJLX40YgwzUPFhvCxjxufaJ2HjfnFy4RBNLtPLgy7Dxuow6s60CjDoLDiC0nHjGGhDuFgt3EwpdJjnuoIJB2HjcWNvNYn6gb4Y/EPG58vXxP1ifq1mccjs2wcM6DBck8bixsu8R266NlHgTS7TxWIN36eu08XNDc+GiZh7Ast/MgtHYeN8IP0WQNG7ElvjTUN43QkunCFc6NIDEPWSdu58EyttkrbgQpXPMgtMQZM49by5gAeOZx6+sNxzwIv53HjSAxD4k0budBsO08bn29dh43gsQ8NpnHzTwIv53HjbAxD3sgbufBUreuQjc+Y84v3IWhGnhpkbgNslAgS4f0PjKl3FTtsfOQdeVmHqpUkYhBBheWeqiQcRTOecgqczMP1bjIWKICVGqYh8wrLrDMQ9JKqFBxjHnIyKMKWagwD9mOZN+5mYfHhnMesg3dzMN3xAWfeXiPocI5xTxkQKaGech447zg/IgmQhZbNo1I70VI3Fyd2DQK1zxYJAiAm3mwsLEkwjUPqa9kpIUKFgBRIgiSm3mwsMM1DxYSAuBmHixsLCTmYWUVKnYeBMDNPFjY7BW4nQeLlr0C0rsTa0YaDHYeUsXdzINFi2uO1PNwzEMqu5t5sIxxqfF6bBpvtBCS2CJsXLmpS+BWkMIxj13yU/rR7Tws+Ul7TQ3zIGws1akN4VbYuKCFax7ScN3Mg7BxISJN2c08dqnOPG4FkgsR6bxu5rFL9XDNQzqvW2HjQkQ6r5t58PVyIQrXPCQ/REvBcH+SLbacKFzhSFigEEiohGseThSulGyqUcQ6VPiB23kodBIqzMMuv9t5OFGYh021xFr+BAPz2E01CnuHCvPYzbDEOhoHAyecnYeiM6HCPHZTLRzzsIlFMZxQYR67qeZmHhstwDwU6QkVOw+bWBTOCRX/xIdwzMOeDIWIopFkia1dGodjE8smULjdxLJO/9SS+BCOebAgbVyv24QFO4+bzSfm4cLodh4usFzQmMfNJpb/PG43sbigMY/bhAU7j9tNLC5EbuexF0bmCVfCgpt57IWIeaI58SFosfVPWHBTowBfL0sJ5nEj2P7zuE00sILkZh4uRFaQ3Agt81ghCVeiQbjmcSP8XIjCkbCA8FshcSPYzGOFxO08VkgQ/lCjevznSQ0JCwh/OBIWmMdWAYv2xIegxJYTDmFjKeFGkJgHYcOidWuJImzM40ZImAdhczsPJwqCxDzhSjRwa0EibG7nwfJD2JjHjSBxwiFszOM2DApBYh63lqgVNrcWpL+whQqWn53HrQVpBdJtwoIVSDeWqP/roa5ttHNOsUUgESS3RWX853GbIIAg4RN1M48VSOZx68rgfblNWGAeLiDMEw5L3W2CgE2ZdjsPTS1ZEeGDdHMhog4xLiMu+G4uIBToxhXmdh6Kgdt53FxAKNhNFI3bCxGFym3cs5sLEe8LFx/fu5t5+P1wgaWQvZsL0flEkmJLV1fiMvkhuHEdULmeuDrmcSOQdJW1bTvcCBuvh/fFieJmHk5cBJKWLG7mwSVCQWpasLj5fLBo6VJBNwI33xeWDSE+RB64ucBSaJvuFFjZbuahsDxdKviM3GQo0lmZDhVEv7jZpKE4PRcOunO42TSioD2bYMT10nE4VIh4odg/3TncbKoB8bN0CHGzKQt0uaBrBLHvSiyJii1dD9i95oN384HRMoNW2XzwBNWHCqE0dGtgOct8buCqy8nmtn0yVjYRB7QTdwPLWtq30D7FDVTbp50Lfl83IJJckFgGugGR5LOmG4Ub6NbBa6EVvRvoykEHCX6TbqDzB51B3EL4k5vQN4ub8ELFOxIVW+Lp3P4oAZEMx49Bf1CKoqRlgtogUxRFUdyhYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigeoGKrKIriASq2iqIoHqBiqyiK4gEqtoqiKB6gYqsoiuIBKraKoigRR+T/QvXZoY+PFncAAAAASUVORK5CYII=)
physics-General
physics-
The acceleration of a train between two stations 2 km apart is shown in the figure. The maximum speed of the train is:
![](data:image/png;base64,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)
The acceleration of a train between two stations 2 km apart is shown in the figure. The maximum speed of the train is:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT0AAACYCAYAAACWPT50AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABvASURBVHhe7Z0JWFTl/sdvdbOu15veevyb9bdbaqWmZZrp39ytvFnkLipo5JKlkmnmlgUioggmuOGCigougIgK7oqBiKggIIussggo2wDDMgMzfP/zHs6MqECOMHPOzPw+z/N76rznDDOPc85n3uX3vu/fQBAEYUKQ9AiCMClIegRBmBSikZ5SqUR1dTV/pD/S09NRXl7OHxEEYeyIRnqJiYkIDAzkj/RDfn4+1q5di4yMDL6EIAhjRzTS27p1K2bNmsUf6Yfz58+jd+/eiI2N5UsIgjB2RCG9yspKmJubY+jQoSgrK+NLdc+6devwzDPPICAggC8hCMLYEYX0srOz8Z///AcdO3ZEZGQkX6pbWB+ipaUl/va3v8HGxoY7JgjC+BGF9EJCQjj5vPDCC/Dy8uJLdQsbwOjbty/3vsOHD+dqmwRBGD+CS4/VsBwcHDj5sPj999/5M7qFNWlbt27NvWfbtm2RlZXFnyEIwpgRXHqshsVqWmrpTZgwAaWlpfxZ3eHo6Kh5zxYtWuDYsWP8GYIgjBnBpZeamoqXX35ZI6Bu3bohJiaGP6sbpFIpLCwsNO/JBjN++eUX/ixBEMaM4NJzd3fHc889pxEQC39/f/6sbmApKu+9995D7zlgwAD+LEEQxozg0mPJwRMnTtTIp3379vDz80NNTQ1/RfPDmrKsdldXeh06dOBqnQRBGDeCS6+qqgpxcXEa+axatYoTnkKh4K9oXtjAib29/UPCY9GqVSu9jRwTBCEcgkuPwaagqeXDRnJ1SUFBAczMzB4Snjqsra35qwiCMFZEIb2EhASNeFgtTJewWiVLUakrO3UMHjwYMpmMv5IgCGNEFNKLj4/XiMfOzo4v1Q2sv7Cu6OpGp06dEB0dzV9JEIQxIpqa3rPPPsvF6tWr+dLmh/UfLlq0qF7hsWjZsiV2797NX00QhDEiCunJ5XKu2cny84qKivjS5of97Y8//lgjOSbZutJjMW/ePP5qgiCMEVFIT19ERERwomNpMdOnT+dy85jo2JzfgQMHok2bNtx/CwsL+VcQBGFsiEJ65ffSEH3tCoL/DMGVa9FIy6vgzzQfLA3m1KlTmD17Nq5cucKVzZkzh5PeK6+8gry8PPj6+mLhwoVcrZMgCONEUOnVFCbg5F5nLJ7zLSaM/gojRvwXX5qNw7TvF8FxVyASJc2XoMyk9+hafUyATHr//ve/UVxczJcCFRXNL12CIMSBYNJT3o9F4L6tWL/BDft8TyL46g2u+RkeGoTjB3dh8wYXbPc8pRKf7vbNqCs9atIShGkgkPQUyI0Px5XryVBnxT1ep5MhNSoUwVFZ0JX2SHoEYXroX3rKckT5OWHa+En4afVeRORIUZQRDU+XbYisJy+4QlpRjxCbB5IeQZge+pde1nmsW7YQzseSkJUZhfOnT+KEfyCcfl6GC3qeDEHSIwjTQ//Sk0ThqOceBEbVLs+urCpCmOcWLF2wCqF63qaCpEcQpocgfXqywizcycxBGb+QSk1ZERKvR6B5FmyvRF5GGlKSk5CYmolCqZwvfxySHkGYHgINZNRFCXllOSqq2P/LkJ0QgdhMiaq0EZQKlKkkVaZ8vLcvP3QjJgzphw97dMfAKStwOqnhDX9IegRheggvPZkEoV7bcDQiETEn/8DUkV/CasU+3Mx9kDf3KMoyCS7t3oVQKWdKDTVVmfB2+B1O27Zj5zY3eJ4IRaaUP1kPJD2CMD0El568LBcnvA7hVsQJLBk/BJPsjuK6ny9OxN5Bg9t+lxfBb6UtAqUP1wfvnbXFZ0MnYM3hMDSszAeoZ2Qw6bF9MwiCMH4Ekl4NqliTVqZQ/a8ckUddsPS7cfhymgPCC0sQvHE99l9LwkMNU2UVykslqhpZEfIzk+G54ld4p99DUVEhCiWlqKyqwM0DtjD/tBfefPV1vDdiLnxvPdhVjc3IYLMu2KID6rCysuKkx+bcpqWlacppD1yCMF4Ekl4FEkMD4ON3HjGp6UhNuIGgoCtIlchRnhuF4weOIyq39OH8vKIkBOx2xAobO6xcsQxTP/9M1Qy2hb2dDX5buxshyQWoklVyYkwJ2gnzD15H9/GrEcFXF9nioGwzILbzmjrYQgNMemy/DFbbU5evX7++9kUEQRgdgjVva5TlyIw6D0/37di5zxfnQiNwKy4Rd4saSNarUaJaLoNMLoc07y58Vq7EsfslkKtkVimTQ/HIyEfu+bX4tP9IuAbX1vbYfNpHd11rKJYsWcK9hiAI40P4gQwVytJMhJ06jH37veDtfwLnLkUgs7ThVJOaskIctV+Fk6WNTFDLvAjbed/C+UIJd8gWEP35558xY8YMTXTp0oWTHKvxWVpaasoDAgK41xAEYXyIQnp1kd+/jVB/X1xIyEVlAxuiKUrzcXztWpwurivGSkgKpZpUl/yrh7HGfhPC8/mCepg/fz4nPdakJQjCNBCB9BTIDNmNeZNHwcxsNMZPnIzJo8bD7mgcyhpI1qupluN+airyq+tcILkMu2mjMHb6Uqz7wwXrXHfjfOy9RuftUsoKQZgegktPWX4PBxePw7cOnjh1KhAnjh/DIdd12PNnCkobkF69yPNwI2APNrhsg8/pUNzOKFDptHHEKj22fP6tW7cwa9Ys9O/fX3Txxx9/cPsHE4QhInxNTyZBhK8rdgfnoVqhVD1MCshzU5CULUGljp8rMUqPpdY4OjpyTW722cQYLVq0oA2UCINFeOkp5Ug46QzL0WMx44c5mGc9DzPGTMO6cwkNJyc3E2KTHhOek5MT95n+9a9/cZsY9erVSzTRtWtXjficnZ35T00QhoXg0quRZmPP3K8w3Wk/jh71g4/3IXj8sRFHIrOg60XbxSa9usLbu3cvXyoeYmNjNdJzcXHhSwnCsBBeepUShHm7wz++zsSx/Awk50lQoavVQ3nEJD218Fq1aoVDhw7xpeKCbYRO0iMMHeGbt4oinHAwR7++n2OypSUsLMzx9UBzOAcnPzwNTQeIRXrr1q3jtqZkwmM7st28eRPW1taYO3cuUlNT+auEh30ukh5h6AgkPQWqqhW16SQKKaIOrseaXYfg7X0Yhw54wt3eFUcTsvHwGirNjxikx6a8/f3vf8eLL76oGRzYtm2bRi4XL17kysQASY8wBgSSXg2yoq7gakwSJFUNtGGVlci/G4Mr19PQ8NyMpiG09FjqB5sax2aE7Nmzhy8F3N3dNXIJCQnhS4WHpEcYA4I1b6sr0nHawwVOmzxwOiwatxOTkZqWhtSURMTFReKi325s3HwA17PLGk0wbgpCSY+N0rLRT/beLP2jrvAYJD2C0B2C9ukpq/IQsn81po0cggEDBmHI0GEYNvxTDP/vWFg7HEBsgW4buEJIr67w/vnPfz4mPMaWLVs0cqHmLUE0L8IPZHBU435KDK6GhiL8agTS8nWdrFKLENJTj9K+9NJL8PDw4Esf5tKlS5g6dSoXiYmJfKnwkPQIY0AE0lPg7s0zOHzgILx9fOG9YzWWOHridq6uevIeoG/pqWt4LA/PEGc0kPQIY0Bw6ckk1+DyoxUmTxmPCZPnwnrKl/j6x42Iy9P12K1+pacepWVNWkOdwkXSI4wBgaVXg9Jsf2zbGYxrwWdx8OAZpCYFwNXtMGIzdb/zt76kt2HDBk54bJTWkOeskvQIY0Dwml518U1sWrQA9pu84H/IGT9N/RKDLGxxLUX3/Xr6kB5LS2HL0T///PPYtWsXX2qYkPQIY0AUfXqSrATEpRWg7F4MvLe6wDPodr172jY3upRe3cUD6iYePwnss7DVm8+cOYOyMl0vu/DkkPQIY0AE0hMOXUqP9eGxv82mlmnbpN25c6dGLsHBwXyp8JD0CGOApKd6gJtbeqxJy/4uG6V9miYtSY8gdAdJT/UAN6f01FPLWA3vafvwaEYGQegOkl4zSo+N0rIBC9aH15RBix07dmjkQjU9gmheSHrNJD11WgoLVlNrCmxqGktvYREaGsqXCg9JjzAGSHpNlB4bpVX34THhsf64psJGbDMzM7mQyXSfr/ikkPQIY4Ck10TpqYXXsmVLg8/D+ytIeoQxQNJrgvRYk5a9/mlHaQ0Nkh5hDJD0nlJ6THhspkVTRmkNDZIeYQyQ9J5CeqxJy/rvWJO2qYMW9XH58mXus7FITk7mS4VHjNKTZt1EUFgCSmV1ZvAoJIg+64mNG7bAJ+g2yvligmCQ9LSUnqurK5eWwqI5Bi3qY/PmzRq50CKiDSFDTvRxLB79EfpM24pMKV9ck4sL7r9h6oTxGD+yHzq/0wezt1zW+R7KT0uNUoka3c+4JOpA0tNCeuxBZ4nHLFguna6g5OQnQYnK4hy4z/wY741dg9TS2tLixDAc3rsHl1KycC87CR7f/x/+t7sl/O/VntcLNUpUlefiis927D8XjxIFX14HRUUOwgO9sNPDG3/G3edLCX1A0ntC6akHLdieFrpo0taFpPfkXFr9NfpNUUmvpPa4oqQExSUPGrRFF2zQ/4Ox2J+h5Ev0QJUU8acc8d932mOEzVkUPFKTq8z8E2vnWWGhiz8S80tRLqvHioTOIOmpHuC/kp5aeGwBUH0MWlDz9sk5b/cV+taR3qMk7Z+HL6ZvQYru16R9CKUiFmvG9oHZLydQtx5XXXwD9pOGYcJvRx4qJ/QHSU/1ADcmPbXw2Citrmt4atjUMysrKy6SkpL4UuExOOlJo+HykzXcQnP5An2SCtcpAzFmcUAduZUjbPM3eP+jMXA9cR2RkXG4L57cc5OBpNeI9NigBeu/YzU8XfbhGQqGJb0ihO5fB6f9VyEVZKAgGS6TBzwsveII2H/xJt4YOgfb/fzgPH8KJs/fgLCcav4CQh+Q9BqQnnqUls1/3b59O19q2ohRehdWmaGfxVqk8QMZtcgQf/4gdnpewH3Bussel54s3h+TurXHp0u8kV1Shtwb2/F5xw742u4cfwWhD0h69UivbloK1fAeIDbp1SirEbBsOLqPtkFCYe1ARY1Ciki/TVi22B7el2NwOzYCZ04cht/ZOO68/nhcemUxPhjV/R3M9ojlS0qwfWpP9Bm9lj8m9AFJj5eeVFqb6MUeZjbT4tlnnyXhPYK4pFeN/OQg2E3shy6fTMWuc4lgYxV5kQcw4/86o3OX7uj1UR/0+vADfDBwAjaGSGpfpjfuYJPFIIxbdhrqn9OanBAsHPYBvl59FrUbnFbCZ8FgDPvOcDeLMkRIeqoHuG3btpz03NzcuGPWpBVSeAUFBYiMjOQkQ3tkNIyyWoYK1b+PVFqGSnk1WNedsqoCpcUSFEskKFT9OxYUFKKoWIoqffbr1ShQXhiMRYPfxEeW2xArUY9WFONP11n4fMwiBKbcQ15mGBxmTcaaM5n8+eaFrdAjplV6xAJJT/UAv/zyy/j9999FM2jB3l8tF1pE1ABRViL7hg9WzDbH1EWuOBtbwJ9QIU2Ct8tKrN7ogUN7t8DNJxwSHQk5NzeXyz7w8PBAeHg47t3TZ4a2eCHp8Q8xC7GM0tIeGcZPSW4Gsgoq+SPdoFQqMW3aNO77ateuHb744gssX74cXl5eXEvCVGuBJi29H374QfMQs+WhdDWXVltYArT6c4lp5eTo6GjN52KDPYT4YTN62rdvr/ne1NG1a1eMGzcOK1asgI+PD+7cucO/wvgxaemx5F92AzR1T4vmhi0Xr745w8LC+FLhuXXrluZzbdq0iS8lxI6FhYXme6sv2rRpgw8//BCjR4/GqlWruFlA6oE9Y8RgpZeVlYXevXujZ8+eTx3sy2ZfOuvLY196U/9ec8Ubb7yhuSHffvvteq8RIt59913N53r99dfrvYZCXNGrVy+8+uqrmu/tr4JlLrzyyivcfTdmzBjuxy0+Pp5rKhsLBiu9xMTEer80CgqKpgdbWKNDhw4wNzfHvn37kJeXxz95ho/BSi87OxuDBg3CgAEDnjrUv4BsQdB+/frVew2FuIPVSth3yLooPvnkk3qvESrY4IHQ9xd7Rlq3bq2RWUPB0rZ69OgBMzMzrol74cIFFBUVQS6Xo7q6mtsAy1gw6T69uXPncl84S1mpqKjgSwlDgnXGs++wY8eOfIl4UGcHMDFXVup2pLYh0tPT0aVLF43c1MFEyJq+Y8eO5dK1jh8/zqW4mAImLb3vv/+euwHYjAz2q0YYHqzznX2Hb731FhQKca1LN3PmTO6zsR9ViUTfM0Jqsba25j4Dq22+//77mDJlCuzs7HDkyBFRreCjT0xaenWnoTW2np5wSBF95jhCkgohhsdZnheHU94H4XXQBxeiMiCGLK+60mPNMDExY8YMjfSE+FFl/XA2Njawt7fHsWPHEBsbSzM0VJD0RCy9+8EbMLJ7D1j7pAguvbLsq9i8dDl2BsUgOuYM1i9bDreTsRC6U4Ck1zDl5eWC1TDFDElPpNKrzr2C7asmo3vb7pjvnQxhH2cl0o4uxuDPFiOCLwlYNgYTFu1Deu3MecEg6RHaQtITo/RkdxHovhWePusxfehwLPC6LbD0VLXOi6vQr2NvLPBJRmFRArZYf4tfd4eiWOBBPZIeoS0kPdFJrwKJp3fDZc8FZEhCsHDIAPzoKbz0UJkFnyVf4Z1O3fDZpB/htPcCckXQPUTSI7SFpCcq6SlRnH4FBzx8EM+tBHxNJb0hWOIvjlSC4nhvzB7wNtr9z5sYt+o07pH0GoWkJ05IemKSXlUeAhymoO/gSVi6YhmWLpyED19vjw++/hE7z6bwFwmDNP0i1sz/Ge4hUQje+g06t30T32wNR4nAs5NIeoS2kPREJb1iRPu7YsmSpapYjqULzFXSew09R1lj+/l0/iIhUOCW+3foa7YaqdyxFP6LBqPH1zaIyecKBIOkR2gLSU9M0tPAjw5IT2NWnz74YW88txS6cCiQ5PUTBn6xDFdKq1WNcOD23oWwWOiKWIH/2Uh6hLaQ9EQpPR7ZZawYNxa2/nfUGhQMRVEs9qyYjQVOh3DxnA9cVjvjSHgGqmn0tkFIeuKEpCdm6anqVNVswrdCJJO9q6XIjI9AeEQ8siUCJ+jxkPQIbSHpiVp6xF9B0iO0haRH0jNoSHqEtpD0SHoGDUmP0BaSHknPoCHpEdpC0iPpGTQkPUJbSHokPYOGpEdoC0mPpGfQkPQIbSHpkfQMGpIeoS0kPZKeQUPSI7SFpEfSM2hIeoS2kPRIegYNSY/QFpIeSc+gIekR2kLSI+kZNCQ9QltIeiQ9g4akR2gLSY+kZ9CQ9AhtIemR9Awakh6hLSQ9kp5BQ9IjtIWkR9IzaEh6hLaQ9Eh6Bg1Jj9AWI5SeAtLCfOTdv4fc+4WQVjb8IJD0DB+SHqEtRie94psemDV6BIYMHIAvZtrjXHIFf+ZxSHqGD0mP0Bbjkl5NHgKcfsVyu5WwXfErnPYEIknCn6sHkp7hQ9IjtMWopFd42QmjvpyBnReT+ZLGIekZPnWlV1Mjkq0yeWbOnEnSEyFGJD05Ivcswog+nfFqu7fwiaUdLqY3vjfrnDlzNNKTSqV8KWFI1JWeQqHgS8UB1fTEiRFJT4ny4gLkZKQg9IAdhr/VDn2mb0a8rPYsqwVIJBKuRqcOKysr7qZs06YNUlJSNOUVFQ33AxLiQi29559/Hl26dBFVsPuKpCc+DFN6inLEB/nCc/8+7Nu3H8cvx6Poke6cZL9l+OTjL7E1rIw7rqysRLdu3bhanTpeeOEF7qZ85pln0Lp1a025s7Mz9xpC/Hz22WfcdyjmeO6557gfU0IcGKb05Hnw/nU8hg0bxoXV6sNI5mt0GjLPY8XsqXA8WzuSwWpv7Oar76Z8NJYsWcK9hhA/tra2GDFihKhj/Pjx1H0iIoyoeVutEtuD6p408ggcbJ1wKbv2uKqqipMZG7xQR9euXTnJsRrfN998oyk/efJk7YsIgjA6jEd6JWFwmvMNZv2yDjt27YLLxh04fvWOSoUNM3/+fE56rM+FIAjTwHikV5GJs7scsHjZKmzzOoGw2Ew0PnZLKSsEYYoYUfOWR/nkaQskPeJpEVlKIKEFxic9LSDpEVpTXYKcjDTklCr5ggdUyytwNyUJeeXimhlCPAxJj6RHNISqNqeUV6JSXaurkSD86B7sC4iE5HHnqc5XIi3sCNzcjyJBol2iNEuszsjIQHY2P/JG6AySHkmPaICqtCic9A1ACn+cftoRP9oeRkZFfcbjUeYjaJcdlq8PQIEWFT6WR8rSb/r16wcbGxv4+fkhMlIlV0kjk8eJp4KkR9Ij6kGeH4tt1mPQf5A5NoYmoCDnBhwmjoHNqVRolCcrRFJkMM6dC0JIZDKkVbVVwvJIL3w/ZRrcrmknrISEBLzxxhvcPcmiU6dOmDBhAuzs7ODj44O4uDj+SqIpkPRIekQ9yAsi4TKtP97tOxXuYYnIDLDF8IFTcTCxuPYCRQ4u+e3Cjr2ncDnYC0t+dUNcPj99sSQMv44agklO51E7HwjIzc3F3LlzGw12P7I5xGrp1Y0XX3wRPXv2hLm5OVauXIljx44hKyuL/+uENpD0VDcUSY94nHJc2TQLn090RobqKGmrBboMmoU/s/lEqKpbcJ0zEiN/2IvM6krcjopFQbl6oncSNlt+jP7f7kQq38SNjo5+TGRNCTZtskePHjAzM+OmTVJf4JND0lPdQCQ94nGKEeRsheFjHZCkOrq6ZhQ6DZ6D67m8xWrkSL/kBotPuqJb39GwO3gdJUr1iEcGdn3XB73HuSC2vLaENV1feumlRoPdh6xG96jg6gabJ85mELVr1w4jR47EmjVruL4/WiTjySHpqW4kkh7xOBJccJyKoeMdwVZnjHWZiC4DZuJSFl+bKy9FUWEB8u8nw3f1FLzfeQicQvNqzyEFblb9MGD6DqTwjmSjs/n5+Y1GTk4Ovvrqq8dEx4TYoUMHfPrpp1z/XlBQEHc9G/wgtIekR9Ij6qUM4Tu/w0c9R8Pxzyyk+y3FsAGWOKDu0yuIxEEXOzgfjUHi7WP4eZwlNl/OZVkuKiFeg+244ZjkeA4l3MVPhre3N1q0aIGWLVuic+fOGDx4MBYsWABfX1+u+Sq2RVINFZIeSY9ogNL0S1i/4AfY7A1FfkEUHMaNgd259NqTsmxc2ueI5Q5uOOx7ED5no1HEd/fJYrwxz3IaNocV1BY8AXK5HJs3b4aFhQXc3d1x69Yt/gzR3JD0SHrEE5IWuBY/rTyMjEYndZcgzHMtfvvjGLK1yNOTyWTUL6cnSHokPeJJqSlC2JE98Aq8gbz6xKeoQPqNAOw9eByx97QwHqFXSHokPUIbFEXIuJOOwvLH+9eU1TLcT09FruSv1vchhISkR9IjngYaUzBYSHokPYIwKUh6JD2CMClIeiQ9gjApSHokPYIwKUxaejNnzuSk16pVK5IeQZgIJi09a2tr/OMf/8Brr71GO9AThIlg0tIrLi7G3bt3ubXOlMpGVsMlCMJoMGnpEQRhepD0CIIwKUh6BEGYFCQ9giBMCpIeQRAmBUmPIAgTAvh/TIPW80vz0qAAAAAASUVORK5CYII=)
physics-General