Physics-
General
Easy
Question
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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)
The correct answer is: ![4 text end text m s to the power of negative 2 end exponent](data:image/png;base64,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)
Related Questions to study
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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d4F21K5cY/S07qtqOBxnC6YrZr105kzo1JZtaExPZxbVC38wz4iU4pGAs6lYFVxl9wSM84fnFVbySzyogxe7zUPToC/J5iz+LuSG+VHI0dZ+DwiXM4uW0mimS0QtE/esF11wGcOX0YrUpmQP4/HPFUW2t5cQqD+o/AxVfKh4a+wLAmVdB9qa7Iku+p1Rg0dgmefGaiYpYJplgwTxnvKcbi/PvvvyIWY/HixWIfGwtpxV3qEV9MtimrXEcyDFjzcZGp96eWIH9K5Tqz1MCRp6bl35IkTkwWjQ/39qJSJuWmSp4fC489VfcaR6u3nBCXp+4ccIH9mEmYMvBvFPiuCS6p+8npZf1RrlozrNx/ARHnA28xqE5B1FVmHYLQJ+hZqzR6rYh52hC64dKYamm8ubEDNs07KbMvrdMMxqLOPymdVDUcYYeucn5ZdySxyoyJ/91T94Tz7u46FEuZFcN3azEu3rD5OSfK2MxRt5XZi90vyFymFTzV6cONHfMw0Hm1ujT1CuObl0DyvNUwbf1hvPAPxof3b/HhE0WDMwsuQ9EDivdSiRIlRM4y/eBQZ2dncYyOEXHLazi3U0Q6EtEIvbIWRdPy+f4RbvdkDXpJ5JgsGrundsTXKXWeQL/0WBS2PmyMLVu2iJTinxNZbW6MiUbg49Nw7NYb7o99sWNcM+TM/1e4aIT4Yk6POsiYVrcunLdcE6w/Hm63OLPaESXL/oltF+/h7ilXtG/bCx6PLHPGEGNe3cCE/r3g8l/EmecWp/pIkroMdujZL47NaA2rZAWx6srHHmUvr61A8TQ5MHq/+j4fPGFTKT9+6bpYt63g2r86spRto4qGP5aPt8eCveGzFt/7J2BbXzfi/rZsY6w6GvPZMB08Ro4cGebYoImFsaVF7p80aZK6FZeEi8Zgt49T2Wwfby3+lm+q94O3vqFIIjHAJNEIfX4SLevWxejp01AlexJYZa2Mvd4JO3L1Y9Hww7IxfTFpg04mNgxrqIhGE73lqWC89fPFy8e34bZwFEr/TxGPXJWx7brWUQTi8NrZGD5qEuYuWoaTt2QJUEHgM6ycMgJL9l5Xd4Rza9d4/C/NN5h+LNzFdk3vikhdrCmu+X3ccelE438YtVc1Iiui0a5iPlTpski3rbDerpoQjdscLL8+gyF9h+Ci9hMFvMfrNzwQhJPbFqB2oa+RNEcdHHxo2r3MJJScWWTNmlXcO8WLF8f8+fMjXXKKX5lwKRrKzM4qKZoMnIWDR47i6NEj2Lt9E6YO6oA8aVOhcIW/se2CTGEiiRqTROPEot6o8KcDfJWOcUYbGtOs0NJ5n3o0YRImGld1RsFLO+bAccJqYdQmm53+Qq4CzaBzDv2YlxddUfZrK1TqtSKCh5BEj5BncBnVE/0nr4P3k+fwefQQXtdOYc2yNbit9KWh76+jrdLpNx6hFTK6h7Zl86GJ0yZFoj/mvVieyobxh3X5wnh+x0p58Uv3Zeq2MntxrIGMZa3Bru/hnhno77w5/Pd5fRvTRw5XREK3+ebkbOROXwArPHWqwnoo27dvF3aIo0ePhlVl5JLh8OHDw/KJFS1aVKTJie/xNRSsc+fOqVu+cLYpL66/SJV66NanL3p174KGtcohfRLaXNKjzbCleCxLzkuiIXrRCLqPnnXLoe9y3fq81+7xyKzceBl/aI3L8Xf1KVq0ehrXbnDUqnQ+VYvhlwbt0LtHN/To2Rm1yxZAugwF0LSzPfZefaF7kQEr7P9A4ep9IOcURgh4hqUOfyKV8h2ny5INWbNkRubMmZBc2a7Zc3GYh86d/xbgz9//wuLNW7F8rC0ath2EK88/nmUE+z3Gpik2SKO8/rf+i3D7sQ8u7FuIH7OmwDflrXH4sjceXj+GLlVzwipjSfy75yBmOzlipYeebeTDIwxuXAY//GmLJS7LMXuMPfqPX6F0p4D7kcNhDhxaa9iwoRAMVufjNr3c5syZE+893DjDYRVCZnJmSdqj7nTICApbnuq/6oQiiEEICgoUhafunt0L29+/R1KrJCj4S3uclMuqkiiIVjTu756I8tVa4YJWlM7fC90qcnqeCSM2GrjuqVhbW4uRfJkyZUTOHf4/fMSjg4FNTNynNQY7MQDu6dNwI/vp06cjnMPWqFEjhIREHNuPGjXqo/Pmzp2rHtVBQ6T+8XTp0omO4Np1ZuJ9gnnD+qC9TVvl2tuifYe2qFY6L9Kmz4P6bXti26Vnujcx4MDs7vjdZmKU9p1ES5AfLp04jCPuHjiqdMiHDh1SmrJ91B1ezyN+Yw8vHca/Cxdgxaa98HljfD09xN8XV88cg/vxY/A4cRFPlVnBvRsX4X5UeX+P4/B88ByvfG7hmLu70jxw8do13Lz7AO8C9d4vJAhPvK8rxw/j8BF3nLp4U8wsr125LOwTKVKkgIODg6gTrs1Ef//997AZSHxP+UIHCjc3NxEHwmtnNgJ6bN17wCDb92GiYb/OiIPGowOomTeVeF2DIa5GZ3oSCYlGNN5gfJsqqNd7EV698cWzZ8/xWvnX1elvJFFurm8bOeGlkbWZQoUKiZtPv7Ewkf5Dd/jw4Y/OYevZs6d6BrBv376PjjMzqKFotG7d+qPz7O3t1aM6GHVteA6b0TgNhU1ieapp2PJUqDIyC9B3s1FGrRN6d8ScnfE3/bvENPr27SvuBSYXJHTg2L17t6irwv3siOM7rBjJQRevN1myZOjcuTMuXNBPm/IqSu8p2uwm/V1EvL5Yw6EwPreWSKIRjXeebqhSMDtqNmiNdm3boFWrVmjTth1aN6mL7KmVTjdtIbic/XhxhmVPefOx058+fTqKFNHdjOzwx4wZE1bVjgFurClw/fp10XjTswiSll6Ba7LaMa0Zi/3wefxYeZ8bEc57/jzibf/48RNR30M7T0tbHplorLCridQZ60B77J65L0TZQgVhM2gm3LZsxcyxgzB+8U45y0jgcCmHS5VMLkivKMbIMO6CMyMbGxtxj9BTKr7CcsNa4S+KRadOnQzEQiM8TsPoTEOZbfeuqstSULvvsjDbXnzj9a1DGNinJ+Zvv2iG2VAwfG5fxtq54zB+0Q5YWmKf2CIK0QjFukGNUL3DFLx6F4C3yuiLa7lv3ryF//vXWGCrK5daU7nBDG1n2tqwlvqbMwxWsPv222/Ffi4FcEnJ0JC4dOlScXz9+vXqntglKCh8hqLZNCITjdundmH5yt1hI67AZzcwe6gtmjVphu72o7HxoDluWsmXhqJRr149sTTFCH0OLDw8PLBmzRpR84L3yLRp09Sz4w8ckPG6eX1sDAw9deqUetQY/pjQqoRybnI4rDcQleC32D6lo7A/Jc9VGZuvxHbCyNjj8jp78feW7Tg71oXtwYU96NtMV9GzSItJ0FbkJRGJXDSee6BR5cqYd9R4zYfnp5eJYKBkuWvh8MOIwWja8pRhfh2mT2DyPnqf8DjTLTCSVjtvwIABYv+ePXvEtqk8PLUVMxZuEgZNEvj8CmYMd4SdnSPWud9CwJtH2LlpPVYuno1Zy3eBy+aVK+pujshEQ5J4cHFxEfcCZ8gs80ubRtu2bYVNIEOGDPHqHuGy7l9//SWul42z/5Mno8o8EIxHnmexdelYlMyie02Bn/9A30HDMEb5W0cM7oe/6pRHlkxZUapaS6w4/OVyYkXH68f3cPdBRHti0BsfHNq9Exe8Yz8Vi/+bV7i7ZxZyJ7FC8VZTwvoTSUQiFY0do1uiTH17g8hnfXwxuF5e5SZMhr/HblX36aAhjktR2jKUIZxh0L+dQVG8iZl+oU2bNmKJgEtUmqujKYS+8cKwhj+iZKMh0FViCIbH2qlwGDoKY0ePx6FrD3BkySgMXnhYueMeYUDLZlh/+T1qV6siPluKhoQZhum8oXXE+sWzmGAyPnDkyBGRm0y7LorFiRMn1KNRoYqG61qsWuuKDRs2YPXK5WJWv2TJEix1+RdrXDfh4ImLeB2v1qQCMN+hC8a5nlG3vxCem1EstRWKtnSWohEJH4lG0Mu72DjTHvlTWSFNgRqYsXYr7r40SGvx/gn2b56NmkUy6W7iVHlhO3oRznnrJnTM1soHkVP/qKDNghGz9JzSHoYGDRrg2jXjXlkf8x4HNv6LcT3bokGXsWIpKdBrD/6qWgP9Jq+GFrO1b2pPWA9ZrTw+b+DcpxvcrvqjVrXK4vOkaEgIXU+5DMUBDwczvA/pthrXuLu7i6SW2vNRqVIl4cll6dzcOQEFMuXC+N1feOZzbQOKp5GiERUfiUawnw+O7N2GXXv3Y9+endh94BgevzEY+Qe8wrmj+7Fz9z5Rqe7A3l3Ysm0vbj35NNMRXRoZPKXZQjjjYPWzq1c/Tnegj9dxN6zYeR433CajYcdRYg0y6NlNrJk1Cg0qFUfJX7vi9NNA+L+4hKkjh2PO4iVYu/0Y/EOASha8PPXB7zkev4gsiCYId6+cw6nz1/HWiOdbrBD4EiePeOBJAgwUYy1vVt+La7jkxNl30qRJxX3KjLkzZswQy1N8Xr40bx5dwLwxQ9DfcTCGDh6CifNd4f1SNyrz9TqLhVPHwn6APRbvOBNWHTHY9wF2r1+CcU5DMHDYJOw6eVMvEDYYzx/dxvZVC7Hr3CO8e3wFC6Y6Y9We4/hvzVT8lJ3uv2nwW7ueGD5iLHac9RGvevXYG7tdXbB2ry69vj53zuzHknkzMMbJCTOXbcODNwaD3SA/uG9dgcmTxsNp+AjMWb0TPm8NzpGiES1RGMK/LJcuXRKeIEzToC1bpUqVCl26dBGFjAzxu38cY4eNxIHrj3F0Tj9Ua9wTF17qJVoLuAfHRlXQYbIWbRykzGzCfZ3CIsItSDSClId029KxqFvxe3SctEvdq0fgU7iM7g1b+1GY5NQfXe2n4rYZ4tRenF+H3g4z8dxcomTB0JhNewrvTTbep7SxMEKdQsJBWlzUlg8NfouTblNQWOlQraxyYtqBOwhWC5GEhgRh05g2KPlLa5z01nW1r28egV275ujtNBWLF89Dt4blkDR1TvwzeRuYWOXa/mVoXlVXEqDZwClwbFNDuPFbZamAOWvcMLgln880aK0cW7V6Pc7cfYqbyiCx46+6vqGOvX6JXF+sH2+Lek07Y/HqTdjw73j8kD05ClZuBw8vncAG+3ljVKuKKFypOZa5bsHq2QNRKLMVijccBG/9Z0CKRrSYRTQuXryI48ePIyDAtJw+jLugm+3BgwdFQN/+/fuFa67mFkuDJF0J9QMEfU6vRav6DdFKecDqV/oeOfKXwIDF/6lHdVx1m4Sew1cZ9bKwRNF4/+oJ3NeMRV7lpm806mPRODTDBoUqWOOG+FleY2DD0vh9wCpFTmOTEOyeNQTj1xuLBZBEBt1kGcvEgRLvSwbFTp48WdgyKCScYfD5YHnYuExfsro/AwfTY+Q2fdf315hp1x7OW9WopgAvODatiA5T9J7HoFv4uygFJzeWeDzCi0decBunsyMVqGqNbSeuYv+KKRjqvFp4Yx6a3Fw59hWmH9JSxoTihc897JrbDUmV19Qd6Bq2//hCW2TNXQ4br4cPGhfb6lKmdJjvLrYf7BohthtM8hDbZF4H9i+5sfyUnnu+FI1oMYtoROY9FRkUDT40FAs+GNqoir7y48ePFxHcfD9O1TkKi+gtEoorLg6o2tQBz5SRz9ObF3HxxgP4+j7B5qXTsdHDuDHeEkVD4HsRf3yfFX8ON1j3fnMeDQpkQr1h2sMGnFjaA19//QN23ItF2XjniVEOg3DorkyvbQq87xmIR5df3o/MojBx4kQhFrzP+S+fCTbOMvhsxGX2aL9La1E4tRXy/TEUL9SZpO+lDbBu2w9X1ct65D4fhTN8hYa9R2LyhLEYNWYcJo8dhr9+KYwsGXPBYfkxcd6DzUOFANQfsUVs67NlZGPl+8iAibsiZn97dGIGMimvqaOJxttraF40HQr/NTpCMa0Xt45j0bwlOH1XJ7Cvr+9El3adsPkypxWheP3oOoY3YzxZTsw7pJdqRopGtJhFNLTlJVOLMNFgzuUpTTS0po2yKB58kDj64vsyAJDeLpr3yKtTm+A0Xa2gt34CmvxlDafJc7DN/Vqko2iLFY3nZxTR+OYj0Xh+cBoyJ0uDfsvCffkfHpyDHGmSo/+qjx0Pgt69wPnDe7Dn6GX4vr4PN5dZmLvYVZnKhyo/mC8ObViCGbMXwONmxPX/R8dWw95pLl6p69pPb53B5vWucHPbgh17DsBLO5DI4f1ua2uL1KlTi/uQhZvo7sv7Xn9mod84yzh27FgclwV+hXFNisAqST4sPaX77TeN64o+M8MTmB5d3AVprHJhwvazuHz5stIu4dLlq7hz7wEePnyM1+90KxB3XAcJ0bCZc1Rs6xOZaHgfnS5y32mi8eHKRhRLYYUKXRd8FC9mjHsXD2DSsAHo72iHJpW+hVXyvIpo6JVmlqIRLWYRjU+p3MeCTYaioTX9UReDBOlBwvdnYzlN9+MRZx6vnj2Fn3/UbruJTTTOLO6l/L3pMGFreGGs16dWIJ8yamw2bqe6RyMYV/ctQIUcaZGvQnNMWzQL/Tu3RKEMyVGupSOWzJ6MPt3ao1ap7Pi6xF84/liT5hBsmzMEzmrw2MurO9G7a1+4HnXHga3z0ah2XSw/Z9qSpaVC547u3buHiQWfldGjR4v7nGKhP7MwbBQNBh7Gdbr1e3vGI6Ny7ZX7rkOw33X0su6IPd7hi8AHZ7dT/rb0mHAgaoeC26poWM84pO4Jx1TReHtuHYoms0LeesNVl/uIBAcFKT0CeY11k2xRudqfmLx6P1gscsOg35TPyI65cqYRI8wiGgULFhQPREyK59+/f19EuRp7WLTG0Zf2YDFIUEvMxsaAJz5UppLYROPI7E7K6DAzpu8JH1W9Pr0SBVJZoaGTYW6lUAS884Zdre+Qo6w1zj7VdVL7xykPcopvMW//LTGDe3p0AfKmS40hbup7vr+FMXYDcNhHt25xZUkP5CpeF4ef6bbvHtsBj9uJM/EK3cj79Okj7HO874oVKyayInDJiXa8qMRCa7y/ef/TPThOCbyPbuUzI0me6hg50gG9Ri6H/lDgittwpFb+xu9bjP8oqvq551n8d0L3zGkzDWOi4ebUSPmevoLznoi53QxFI/TRYdTKk1RkNl5/KeKyXeC9o1i0fLuYgXgs+AfJFREauyt8ILvO8VflM7Jj3hHNbqIgRSNazCIav/76K/Llyydy+JiKj4+P8J4y9rAYNooHZx6cqrOuAT9PEw/m4WFEeXQBgolNNM4u7Y2kyTNi8s5wG88zj6XImdIKbZyNia0fRvxZCqX+HBr24F9w6Yp0OarD46lu7BZwxQ0/5MqIfit0y1tPlPfrO9IF2uLJu1u78VvhDMiQ7Tt0Hb4AnqKeeuKC+dWYPJNu5LzfWLiJHoKaAJgiFlrjTJwOI9HFP30JTigzV6apT56rOjZdiJjn7cODY6ifnxUu06Gp40J4Pn2F9+/f4en1Q+jboR2WHdb1C96bdDaNdrN1xmp9toqZRmqM2/dA2QrFwwe67NcPjs9EFuU1vw7eKLaZVHVGR92y9be1bXHU8ynevnuLp55HYWfdDM6b6ZobiglNOJDNhSXn1Ejy948xujltGjmw4IgX3vq91i1v3dwsRKNY66kRbCSScMwiGkzRTH/3mNzcdCOMbqZh2DTxYAAUI8wbN+aNphMPprRm5s/ISGyi8fLIDGRNnQEOK8M90G7vdEbWFKkw3M2Ys8ArDKtfEt/XGxQ27T+z+B+kz1ENhx7qOv93FzeidK5MsFvJ0WAINk4ejJlb9auqK+d4H8fIf+rhf2mtkLXE79h6OXFUhuPS7MCBA8PEgva4FStWiE6ftjgatI3d05E1zkiYedewxEBcEfLsGGpkS4F89YfjtZHH/Ny6kcifTvcspstWAD+VL4Mc2XLDepSrcLkNCQnGMc5+lePluy7Cu+AQdRlJx/l/+wpBKVTbGo4O9pi3VRFLOsyssxOvKdVuungN8bu1Dw1LfiP2J8nwP5Qq8yNyZMyMOrbT8UQdO+4Y10Icz1b6dwwfNQYD7fuhQQW6/CZBuTotMG3VfrwKDcGLw3OQVTnvq6p9cd8/WOnDdK+XhGMW0fgUmNQwpqKhNYoH13qZUPHMmTPCw4oZP3mT1KxZU6S2NpzSW6xovDyHeiWzoYGTgZ3i/TU0L/INfh+8Tt0B/DezLbL8rzrcjS49+4qZRsn6Q8KKTJ1b2gXpc1bHER+dDcP/8mb8kDszHFzvK8PL2xjhMAgeD8PXtu+fPoSzT3UP9v3jq1AhczJU7bU4ll184xcPHjwQtVuyZMki7i+6jbNePjMkEHb6nGUYu4+NNYoFZxj8l6+ND4GHOoKwfvJAzN4aeQDujYNr0L1FXZQoUhilK/2BUUv24K3ohINxausCtG9YA6WU7+enX37H0Dkb8Pid6o6lEOx3CxO6NUaxIqXQafRqvAgArh92RY9mdcRrfq7REM7L9kDLQep37yTG9m2Dn0oUQYmfasBxxka81Hvkg/zuYEqfFiheSBGwOq3hetoL90+sQb3K5dC0xyR4KbPgl1cOYHDnJihTqjR+qFAbds7LcPtZ4rbBGSPeiAYfBopGTB4o/calLX3/dc5A2rdvHxZRW61aNZE9V6vFoRnTLUk0GGT1/s4+lMtmhYo9lsP/Q8Tu+cTinij+c3Ocfh6IQD9PdK1VCi3H74gwwtMICriH7j9nR/afu+JuQCCCgz7gv0lNYJWiODbfeCUqvz11X4KcqazQZeFZPPRwgZ3TkgjppM8t6Y9arQfhypP3yvkP0eu38ugyY49eVLDl8PDhQ2GjYAZn3ldMfsjcTvqeTpyBc3Bjyj1OkeDzwH8Z3BrfC0DpQ+F89jzqWJLgwA8IDFbvvNBgBCj3WHSj+mBWGtRUQnnNB4P7+3NhzZwPgdqydohyTR+gxi9K9Ig3osGHiz7rfKC0kZWxhymyxgfs2bOPK+zxPbt27RrmrVK5cmUx86A/PLejS1WSkAh4dgvr54zAn7Wro4FNf2w8ctWgg36DdZPt0cN+JEYPsYOj80q8MGr6CcXV/5aj3Z+1UbtBB6w8cB7eN49jnO3fqF6jLoYs2Ib7Xp5YM9UetWtUR4f+k7B04XS4eui5Lio8PLwC1i2aodegUZjoPAGzVuxURoyW9RRSLBiIygSdvJ8KFy6MBQsWwNf3YzMqZ7tclopKNPRnFgyS5WAqJgk84wP0BuP1SywTs4iGk5OTCFgy1olHBW0gHFFxzZc3nTbSMvZwGTaeS2N6ZFA86OqoRdxqAhIXKRnimqfenrh5L74scyRM2Jk7OzsjT548YWLBjLhR5YWiaNDwbeye5j6KBQWFdo8XLyIalxMKFDjtu5BYJmYRjVy5cokHiQVtPgXeeHwoGQDFwD7tYTJ80PQbzzHFxZdV+1jeM2fOnCIKt2zZsvj333+FPcSS4d8Xt0FhlgFr2DNWKH/+/OIe/+6770QiQVOSCDKtjqFo6IsF7XGsHhgfvKM+FboWJ0mSRBSFklgmZhGNTwnuiwxO8xn4x2k9Hy42fbHQGh8601OqAzdu3ICjo2NY7QReMz2wLE08aDzlA8zCV0xBb2dnFyNXaIkOFhBj6WKt+iRdyplIMCazad7LmmiwaTNpigVn2Ia17xMiCxcuFN8P7zeWzpVYHvFeNDQ4SmZRJ837xHD2wW0ei+kozcvLC4MHDxaFoHjNrGc+Z86cOE0KF1uwg+KMin8Xg8k0I+2PP/4o/m5J9HAGwaUWLZ9a3rx5xbLUp3gxcZbCe5ViwXuXNgvuS8gzC0M6duwovifaELkkLLE8zCIaWkf1qctTUcGlK3boXGbi7EN7APnv59ykDMJi0JXWsXJEyaI8MbXLxBc4yqNbMb3HVq9eLUbKdE3+888/xd/XoUMHi+qsYhvOCmjQ5iCC31eOHDlEbiguH30qnOFpgxuKjqV9/7zHOCDh98Um7RqWiVlEg9N4jt7NPVpntk929jSc0+WWbrafO8Vnp0BvGE34uHbNFNUJTTzo2snrZ8wKobsnZxe032TNmlXUZ0+oxlZzwhktXWWZQJDfHwcRdKX9HLHQ4KyFjhcJzRvKVBjhnjIlI8F1oqHdexLLwiyi8aWhVwqn+bR9xNa6MDuJCRMmIHfu3OIB4LIEM+3SBz0hwOhhXjdrNNBOw1EuxZVpV/i3pE+f3uKN/zGBAxAKqiYWDM5jkF5C+b3jA5xZaILBxlmHJSzzSiJiEaJhTmigHDBgAL75RpemgCISWyNPc8JZBWcUvG6OnLl8t3LlSiEi9G7hstW6deHR4YkVprtheg8tQwDTfgwaNChW7XGJBSYN1RcN2jW08gUSy0GKhgkwA++WLVuEqy7XtvlAZM+eXcSjcHksvsK667xWigdtGTVq1BBxKkyxkilTJnGMnlUxyUZsKXB2StGsUEFXK57fS6tWrYTNQRJzOKMoUKCA+C71G2e2EsvCLKLBRG0sksQlI0uASzv0ROKa7c6dO9G/f3+xxMOHguIxZMiQeCkejAtwcHAIi4bXrpfeYUzH3agR00/rRIX7OOo2RlxWiottaNthOhkGdvJvZ6wOa7KsWrVKlChOjMGesQGXQ/XtGVpr3bq1eobEUjCLaGh2AHN4T8UFFA3NvZcZddnh8iGhOGp++4z34DJWTGJFvhS8JhcXF+FFxVmTPuwstb+B+bnokWbI2LFjMXfuXHUrYUJPpc2bN6Nq1arib+Vsq2nTpuLv5xIKBYO/seH3IzGNkSNHiu/VsLG2TlwXjZLELmYRDXPEacQlzC+kHxPCxs6VQVn02qKnmOaayWUfLmPFR/GIDNpneM3ag86ZlP4ssXnz5mL5Zu3ateqehANnT1xa1Ap20Z7Dtffly5eH1WRh1gH+pvyNGQskiRn8juvXrx92/+g3Fp2iJ5/EcpCiYQL0qY8sEp0zDy5b8TjjPFhkh3972rRpRa6rhBTgxM6zSpUq4vo5QtQM5axNwn2cTbEDTihs374ddevWFdfORrsOPaQ4q+DsQhMLrfE3TEjZZOMLnJ1pjiLGGtOuSCwHs4iGOYP74gL61xvONAwbbR5ctuJ5zPKpuW6mS5dOZNllErqEAOMUGNTIOA5eP9f7mYBO6wA4k2JlxPgKl6F4fZrQsdWrVw+LFy8OW4YyFAutUTSki2jM4bIfv2d65NGxgO7cXP6jrYz7WRxNBpJaDmYRDUbSsuNkhKglwHgGdjT6ieYia1y24syD/6ctQEvBnjx5ctjY2IglkYQAZ4mMGufDb2jgZBpwY7aPuIZLhVrEOxvLAC9atChsZsGIeMPfS2vab2sspbkkamjLozBTPFhsioPGDBkyiEEUS93WqlVL2oosCLOIhqVBQx6XoaKbbeg3beZBsWFQoOatw9EYI2Xju/86vYy4rMA1aa2QlX6js0N8+Rv4HWueYGy1a9cWySdpr6BIRzaz0G8UDf5mWoU9ielwgKFVxmS0O6PouTyreePRkcSSPPASO1I0TIA3PDsUU2Yaho2vY+fFWAgum3BEpnVuNDDzeHyCywhbt24Ns81E1ZjplXmU4gp+d/oBZVySYlQyDa/RzSwMGwcEnD1J0fg86OatiYYp6eIlCQ8pGibA5H/siCIzhkfX+DotjoNpTriMou9t0qRJE9HBxQc4OqR7LkfrWixKVI0psL909UMKQosWLcKugd8fO3x6Pul7Q8WkMWKer5Mj4s9DioblI0XDBNjRs5Y4ZxrsXGI646BoeHp6qu8WDjspGpq1zo/r8ZyNxJeEdpwd0YOK6a45q6B9Q7tW/UZvOdYnMTdcamKwmPa5nGXoiy2Fmb+Psd8gssbfho2DAi6jWEJNi7hEioblI0XDRLhsQ9db1kCgaLCjMdXGwXOjitvgKFl/5MxlFkaexyfoVbRp0ybY2tpGSH+tNVZAZKdrDigWTHeifRaX+PidGkLh4n5jv4Fh42/Hc/nevO7IouElMSMmosHBEW1nkoSFFI0YQvHgw8CZB0e5HNlGJx48zkDA6GYQ7MCYfkUb0XOJiPYFzcgYX6B4UjiZ2I/VAOliyestXbp0rAoHY1w6deoUZoinWHBpzxicIdCtOTrR4G/B34zLWFIsYp+YiAbdu3v27CkGIoyp4fKiFJH4jxSNz4DumfQcYQfEzorN2NIV9/EcUzsoikf79u3DRtZMNLhx48Z4uXTCh5wzJSZvrFixoujYPzeok7O5zp07h4lnnTp1sGPHDvWocXgd/N4iE3Dt9+HvwAzA7NwksU9Ml6dmzZoVdp8zQJBLtLyXtm3bZjG56ywNKRqxAB8UHx8fnD17Nmwkqy8e/D89fWLaUXGkzc6TKTz4UNFt19XVVYzQ4iP0PKKAXLp06ZOCubiE16NHj7AEixRLRqCbMvrkbIxu0Yaizd+DYkHjOW00UizMD+N4GNRqKjVr1gwTDq0xrolZc+kwQtdvir1MJhk/kKIRi7Cj5OiI3kRcutJGt+y4PkU0NLjs0q1bt7AgO47oWRvDUpZWaIvo1atXmDj+8ssvIlAsJsJD0aBgaaKhffcUCxZSim9LfHENl0o5yu/Tp0+sNi43cZbBTp/LTsbO0W92dnZhtUyiayVKlBAxTsxYwFklZzIcQH3KAEXy6UjRMBN03eQyDQP82HmxM6Pr7ufAuui9e/cOsyH89NNPIvFeQnUTpUcZo4kZQMi/h2JIb61PEVe+hsLM75ozPYoFo5ClzcI4LPX79ddfR+iUE1LjAIrLlkyiKWePXxYpGmaGIzomweOSTWwFjnEmw0y0TNXAB4jeTKzOl1AC02hTcHR0FCVVef3ly5fHmjVrPms2wFEnZ3QUCxq4ZUcSPXQqWLZsWaw25vhi9UN26izAZOwc/cYZs779LrLG7MS8X5itmFmleb8wsDS+LtVaMlI0vhCcQsf2NJqdLx8gbcTIeAk+qPE15xdtCrxeFoLi9RYrVkwEEsbG0lEQxfnxI0WkP8X7xh8Xj+7B+vUb4XFZ5kj6XGJq09DPF6bfcuXKhd9++03MRt3c3ESJAjlzjHukaFgA7IyZSZcPKh82RmlzvTq+iAcf9qFDhwqvGq1D4DUy5UdsEPDaB9cunsX5y7fg98FQmEPgffU0jhw9gfsvP559hPregLN9NzjNXYPt6+agWY1K6DRuPWTZoE+DM7yYeE8tW74CSZX7IWXyZEJs6PzAMsV0wTUWEBsbBH5IeG69oYEBCAyJH7YbKRoWAh8wLXpbS2vOlOZTp07Fs2fP1LO+LDRA031SEwt6w3DkqKUnoUvtP//88+mlct/fx4qJ/dGsWUv0GTgCs5bvgM8bvViYt96YNcAaf/xljQF23dGoYXMs2qcfZBmAtUOaoky9ftCqaFzbNARfJc0MJ7eEU0QrPmGyaCiz7vtXPfBTicKwSpkVI+a5wufRI/Wg+TjvOgY1q9bGjJ3mz2Dw2YSG4MEVdywYZ4emzXvj2LP44cwhRcNCYLAhDcE0vDNymzMPbdmKKUCcnZ2FW/CXgJUAmRZeq6vCjLi0wbBELtOU0zNq1KhRwpDP4/nz549xjQ7/+0fQsXpB5P3pL6xxv6Xu1SPUF7O7/IKvi9SD+1OdkBxfZItvspXG8lOq6+bry2hYMgtqDtig2ybvbuKvgklQrOV0dYckJpgqGv7PvLBqaj8UzaDMPLOUxTbzJBP4iL3O1vgqw1foseC4uif+8vbZTSwf3x05lGfEKlV57HkqRUMSi7DgFT2H6G5Kn3a6JDLGgW6Pmg2BI3x25lwuMgec0UyYMCGsRnyOHDmEWyVTorDGCOMo6IqsXR/zPU2fPl0YTrm0RjExBf+Hx/F3yazIWLwpTj0yvsbtvW8KMivXYD1LL317wG20KJIM2Ws4QISNPTmBarmSomKP5eKwIPAxulfNim8bjFV3SGKCqaIRqoyiQ4JfYlTD/LBKUwKu17/MklHoB1/cvnkXbxLACpX4jkKeom9VZfCXoSL2SdGQxCZc4jGMhmanzJkHU5HQVZdrxlpnPnLkSGFIjw0YdDV58uSwZSd2Goy7YFQvP5/xE/rXxUYXZIoHoZDQM4beYNq+SAl8CqfGxZTPyYelZyKrsuePaW1KKOfkgcsl/Y4rAPO7cnbzPyw85QsoD6RdzZxIX6otvLTlYv9baFn6GzSffFDdIYkJMbNpvMPUVsVhlbr4FxONhIc/hv6uPLdSNCSxDY3hhqKhNa2OOVNx9O3bF3ny5BGdO0WEBupPFQ+mUeFMoVChQuL9WN6TMxuKBT+PomXsetg4K+JsQ/OG2bVrl8gxxcSHUcWdXF4/BGmVz/q5+1J1jxH8TqJ+/mSwylIDh59EnInsnNJaXKv1FF0OqwcH56BY1sxoMWwV7j98hIMuQ/FrA1ucfxE/HtCERsxE4w2mCNEoBtcbMUiRExqEgM82Zkc0KgcHBYpr11pQsO54SHAwPrY/ByufH4teXMrf4x8Q2f32DkN/yyFFQxL7cMmJo3ctItpYo3hw5M/lIpbhpK2DHShtH4ybYPCgKTDjLT2fNLHg62lDoVsk3z8qsdAaRYPn6qcIGThwoHg/CpFRgh7DgQ9Qsq/Re9IyLJs+FC0a1UPzTnZYc/AqtG7nw4XVKJrWCkmKtsQNg37LfUlvJFE+o1KP+dA8/O94uMLOtgv6OwzBpJkuuPJECsan8kmikaYUtnsF49bxDejT4W80bmOLZfvDf88wgl7gP9eFGDViOOx72aJbvxHYevK2epAE4+GNs1g7eywGTlmLJ4/vYM5gW7TvNgTHvP0QGvASpw+6YczA3lh2yFv3krd3MKlvK9Rv2hY9evYUaWz69OuH7p1t0LhhPdgMWYwXYfrwBu5bXDDGaQQc+vZA196D4Xr0mp78hMDn1nlsmDcB/ce64Ll/AM5uX4DOrZvC2nYQ9l02SIMS7IuD6+dioL0DBvRRrrOzHZbtuaDMh/WRoiExE8w8G9lMw7BpMw8an9lRFyxYUHTWGTNmFDORyGpjcAYwZ84cFClSRJyfKVMm4f1EWwQFgO9ragEkY6JBF2H65lOMjM023tzegnIZFDFImx0teo/G8rVrsGb+GFTInVQZrebE4FU6+8VzZfaQS7m+NOW64J6B7+yJZfZIqRz7vo0zIlvcknw6MRaNNiVhlbEw+o+ZjN4drdG+fUsUpHE804/YeFWvXrv/PYxpVwMVG/XE9sMnce7EIQxrXRFJ0+dC/4UHRcf98tZxjO3eACmU3zfDD43hZN8dZfJnEvdq9wXKzHbXEtQtllFs91x2Rfe+XnvQvP6fmLzuAE4oz8TJU2dx7uBq1MyfRDkvA+yXHYO4Q0OeYkb331Hut47Y+N9xnD91BBO61EbS1NnQdcp2Ra6Uv+beWUzu20zMhFMWrYexIwbj74b10eiPqkgnrqk1LjxRvftCfLHMvgEyZS+NmTuP4+IZDzg0KAarlNkxdZ9+wk8pGhIzwaUiU0VDa5p4MDJ42LBhIrU5Hyim9ejevbtImEhYI33RokVhJWC5rEXvJ3pDMQKbdghj7x9Vo2AZKxXLGRA/g6lADPHaMxbplWO5frHFbb3VifsHZiBvCkVMcv+BU76h8HOfi5zKeekrdsd9g4DhYy52olMpae2M+BkCmbCJqWhMa1tKmTlmQmdnNzzx13WoRxf8I+6BNtO0Aluh2DOxGZKmK4FNnnrj8EAv/FMunTJgKIAlxx4j5MN7vPHejVq5k8EqfTFM23ENb597wnWNK6489MP7d2+xY5SuPHC/lbpqkyFeHljldhj6i00bnXTn/OGwAlrin2MLOiNFynxYelr/b3oG+9q0Eyod/d67CA30x9uHB/HHd6mQJGNRjPz3P7wK4N/0HrP/YX6tdJiwV/X0e3YONTIpz1r5PtDe8a3HVCEudYduVfcQKRoSM8GROTvjqJanIms0VNO+QNsGU7BXqlRJPDQUj6ZNm6JcuXJim8ZqBl5pNTOY1Temn0dh4yyDgmXMi4tGcX4WP8eQ62sGiGPft5gU4SEHfNCvTi7lWFqMP/wUIVfW4tvkVkhRphO8DTKrHJzfTSxPVe65IGx5ShJ7UDRo22KmYpOXp1IVh5ve4Nr7yHRkVH6juoPW63a8voCGBZIggzIIeGhgSji6sIu4JyrbztN18B/OokHeJEj7QyfcN2L2ODtfJ0iaaIQGB+JDoDr6V7i0cTiyKMdz1+iF29oN8v4WbH5Ig2TFW+CGwQT44noH3cy11QTo5kVX0bJoSiQv0Rbeen28xyxdqpT+69SBUuBrbHOZhuV7uSQcjLvXTmPJiDZIpZxTx9FVd45AiobETFA02CFzhG6ss46ucbahxXGwbgdTsDM6lzc6G20e+gZz5tSi2Jg6u9HEgrMSvg87F2PwGEepjRs3VveEc2fbCHWWME0sB+izwq62rjNY76l8GSdRLZty3fka4eJLfStmKLaM15XXbeMcvyojWgr8XTm4YO6pGBnC9bynvA/PQlblN6ptv0Zs+51cjm+V7ey/OuCRwQ9//9B8MavMVqsfHvCnDjyNP/MkQcZKPeFjpI89Na+T+P37qqKhzxvP7aicQ5mxflMJW/SMYQFXt+CHtFZI93Nn3DRY7nx+bi0KJ1NmteXa44YQtMuKaKRCypJtcUtvde34XH5uUtitjji7fnpxN5zsuqPXgOEYNaANvlKu7VdHVSwFUjQkZoK2AXpQcbmInTNbTGYBFA2+Xh/GXTC6nNlnDeHncbYQnWjwON+b59ItODKx0KBthgZ6JjE0xPfGBhRLqnQeNfrDsLLCVifmL0qLSQeYO+odhvyaE1bJi2PTHf2n/D3mdi6rnJcVsw7J2gzmgPnVLl++LAppcWARNZGJxkx8TdFw0InGaw8XfJvECql/7IjbBiP95ydX4Tvl3Nx/DNZF9X/QicZXFZRZiZFbLVLR+OCFfrULKMe+wuC159WdOt5f3CREI2nBJjhvkFzhzdUd+DGVFTJVtoUXLfehqmh8b42beqJxbE5HnWisUUUjJAB7ZvfDD6UqYpTLPjxX9ODDJRdkV66tlr0UDckXhMn/mL6D5WUpGpx5mDIbMCYa9JLiElWjRo3UPeHQVTYq0aBo8RgjwJki3tQMvBQNRogbEw0EPsGgX/8Hq3Q/Yte9iL418zuUQao8v+LUU13nc3ZFX6S0SoK+q/U8woLuw6ZUCmQo2xleUWuX5Itgmmjg2TH8nj+5CALccDWiajw4NEec23DkVp23lf8p3UyjYo8YiEYg1g5pKPbX6ueidNMa7+Hz5CXw4iJal04Lq2T5sORExGqCL8+tQT7ldVX7rtQtmQZHIxqqID0/tRR5kluh5kA3sU3enl2EbOLv3qjuIVI0JF8ILSU7jdlcRtLEI7LZB48zqlwf2i74INnY2Kh7wvHz8xNpSwzfj59BwaCNhDWfY5qVlMtTrBfSsGFDdU9E7h9diAIplCn8gNVhLpn+3rtQtVA+2M49HO7++N4bvWvkQc6qffBEPfHG5mHImiY7xu6M+HdK4ooPmNGGolEcbnrjlUfH5onlqToDtbX9EGxWjdNVeiyJYM/arMwwU31dDjvvqCbr4PNomDcJ0lfogWcRxxWC8ws7i/fpvyY89cy1beNEqo68tXrirn6/HOCJ5cs34WVICI7M7oTkyjml206NYAs7OLMNUqUrhjVXtOWs62hdLCVSlrSBl96Jpxfwc5PAfsNlsX11g84+V7n7Et09G/QMG8e3E/aRmnYr8Pi+N96+4V8aghF/MLivEg5Gt9r3hZCikQhgB3/r1i1hT9A6df2Ono37WKdDP307a4DwxmYqEEM4I6DRWhMN7X25PPY5KawpcPxMenNFxqnVI/BD0ZLo4jQHa1ctRs82jdFrkiv81OMafncPon3dSmhq6wTnccPwR7VqGLT4oIERXRIXhAYH4Jn3KbT+Pqnye6fB8HWX8PLNe7x7/Ry75+g69ry/2ePWk1fC5TX07T04taqCJCkz469+k7H78FGsmz8MlctWwJiNF8V7Bvn74q77IhRKagWrFKWw0uMWfN9rv3YI/J77YHZHnVNHrX4r8OzVG/icdcWPaWi3y4HxG8/A++5tMXi66XkZa0fb4PcO4yBWpD48xdTOdWCVPAN+7zYGOw66Y/PScajx009wXHZMdPwhH97i4anl+D6V8n6pf8LG0/fwxt8fvsrnzu1aWfe5di548vIN3t7ahZp5Uij7kqFsncZo36kb+vVtgxxJrJA8W2F0Gjofz1/64pnXUfyeh9eXEeO2K9/R27ifbUjRSESwI+fSFWcBWifPfzXRoDeUftyE1oEzU60hrIqnvQdnKVyG4szkU8VCgwZ3fmZ0CQxfe5/H+hUuWLXeDSevRZFL690THHBbhSX/rsWZO8/VnZK4JsT3ITbMdUKHdm1g3cYa3R3GYt8ZT1w96oZhfbqgjbU12nWwxczV/8E3bMbgiwNrZsK2ow3+6dYTg0ZNxcErWn5i5Z64fQyTh/VFO+W11q2t0XOgM9w91eWkEH+c2LYYvf6xgbVyvH03O7gePIcTG2agxd8tYd2hK/rZ2Yn0N7rWAx3atsLQBfv0BhnvcXTjAvRU3qNT1x5wHDERu8+G1195/+gi5o911H2+tQ0cxi7E2dteOLbNBf26thefa9OlH1bs1tk1vI6tQ9/2zdGkdVcs338dwXiFZaN7o6vDBJx/rMycAnzgOns4bNoq76d8Rz0cxmDfRfPkjYsJUjQSIezYWcuctce5xMROn402Cn1DNWsasAM3FqFNozY7dkZ/cxbzuaVsCYP7aAT/7rvvxOxIIpHEP6RoJHLoqksB4OyDy036nT9LcVI0WKfDEJbZpM0kNmESRX7e/Pnz1T0SiSS+IUVDIuDs48WLFxHcJDnDYCc+bdo0MSvRbzSwa66V/L/h8Zg21gChpxbTqnPGExvvKVvcNi0IVGJZSNGQRMrChQuFaMgm26e0Jk2aqHeSxJKQoiGJFEaI161bF1WrVsUvv/xi1sbPqF69OqpVq2b0uGwJr40ZM0a9kySWhBQNiUQikZiMFA2JRCKRmIwUDUk4gb64cHg7Fs6ZgcnOzpg6cwF2n7hmUBRGIpEkZqRoSAS3PFajVa2fUa1eGzhNmI5Fi+Zj7NB+qPtzKVRs1BUHrkbMuSORSBInUjQkOLFyKHKlT4aKNs54aJBX8O3Dk+hQJTtSZauIZe7ShVIiSexI0UjkPDnugsLprJCmRCt4RlKVyP/GZnyfxgrpvvsT7sZSh0okkkSDFI3ETPBTjGhcWPjUt51+SN1pjPeYZlNKnNdw+AZdzWSJRJIokaKRiHl31Q0/ZWEgVj7MOx51IrT/5nQVVfNSl7GBp194JlyJRJK4kKKRiLm+bSL+x+jdrypi6/Wok/Vf2TBaFLthMZjtd00rqCSRSCwPKRqJmLPrh4ki+lbZqmHvzaiF4M72KaIWs1XyUlhz45W6VyKRJDakaCRiPHc4i4plVunKY/PVqIXghtsEUYrSKlMV7PY2qK4vkUgSDVI0EjH+191QLqsiBFb/w9RD3upe43gs7otUimhkqNgVcnVKIkm8SNFIzIQ8w4hGRYRXVOPRO9WdxgjEAtuK4rxWE3ciPHm6RCJJbEjRSOQ8dF+IgimtkPy7P3EmkhWqAK+dKJ/BCl+VaoGzz6XDrUSSmJGikegJwdEl/ZErhRW+bzIUni/CCjILXnoeRruf8+CrwjWw8WLsVuqTSCQJDykaEsHlnfPwR4WSKF+rCexHjMesWdMxor8t6lYug9otB8D9biTh4hKJJFEhRUMSzocX8Ni9AfMVwZgydRrmL1mJ/87eUg9KJBKJFA2JRCKRxAApGhKJRCIxGSkaEolEIjEZKRoSiUQiMRkpGhKJRCIxGSkaEolEIjEZKRoSiUQiMRkpGhKJRCIxGSkaEolEIjER4P+1wlkxFBCE6AAAAABJRU5ErkJggg==)
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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAGoAAAATCAYAAAB4DJieAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAtdJREFUeNrtWEFkXEEYXlGrKsKqij1Uqao9VIWIqKootSJiVYiqyqlURVTlElXVU4kcqqJCROTQQ4joqaJUVcSKEBU55JBL5BAVYUVFxXq03/A1nrf/vJk3b9++HN7Hx+7/ZubN+/+Z//9mcrkMaeEvWQer4I3MJecbbeAo+DNKJ9VhMvNdJHRxR8TFqe/3JGMh4ja4nvk9MubAJzHH6ANXA7YqY9KAKldH2rgJvgG3Qtp0gDPgBjlLW6txBdxj+nJFkb6/HrB3g2tJbd9m4BP4jIVWh+9gxfd/kLZW4zUXVZxF+YXBkrDGgJ1hChw7h6pIwjA4Ldg/gI9bLAL2uKtcd9KKIRO8CGqGr+A9TeNLDOQRC94y+BGcSClQ6v1lwX6fz8LwlvPuZLAPwV/gAJ8XwPdgDfwNvgoZSy2KeYsdtw96/B6/z1SQSob+d4KZQk0qLzS8wCI3wd+K43zxQ8P5IIxxAlXTzDVPx4dhicHapKPV91zjzijyWx/RfpULs9M2LQlBmtPMNWfplzxjcwZPM5jKv+8E+25IXk16R3khfeqGMXe5QgsB+wGdKtmLjpJcPX/QBD/UbT5epYXLQm4+SbFGeZZnEamm/GEqj2J3leTDPMRWmhkoKfWJ8hDoBX9YXI0klfoONenkoiH16eYd1R5FkhfpQzVOu0OQGlLfN/BuoNEQpbJURBdS3FFKMPQL9rJBTOjmHdUeVZKrBbQNjjj4oEFMSPJcbdlFzTnnaYqBGmLqCWLBIM+neT6LY3eV5POOtxdjjE1ocexgKunytVlmge1LMVA5ppKXVGd5rvJVw3iffTLc1W4jyYPoAXeEWm8DUVmuC3dLFZ4D6pS0ZZ6n2hIOkKmmFeiwUxb8WYsaUGMaimM3SfL/OOa8PS6qkoMfdBrB6lL2liYdZmg+tJeyCs99VxZqFcz4zhE97FzKfJg4pjR1U0Q7C+oJ08sKd1SGFPAPq0/JwETo3pIAAADXdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pPmc8L21pPjxtbz49PC9tbz48bW4+MTA8L21uPjxtdGV4dD4mI3hBMDs8L210ZXh0PjxtaT5tPC9taT48bW8+LzwvbW8+PG1zdXA+PG1pPnM8L21pPjxtbj4yPC9tbj48L21zdXA+PC9tcm93PjwvbWZlbmNlZD48L21hdGg+d7sJWQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
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,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)
physics-General
physics-
A body is moving in a straight line as shown in velocity-time graph. The displacement and distance travelled by body in 8 s are respectively :
![](data:image/png;base64,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)
A body is moving in a straight line as shown in velocity-time graph. The displacement and distance travelled by body in 8 s are respectively :
![](data:image/png;base64,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)
physics-General
physics-
A cockroach moves rectilinearly such that, after sometime
let its (instantaneous) velocity be equal to its average velocity over that time. Referring to the
graph as shown in the figure for the motion of the cockrach, find the average velocity of the cockroach over the time
.
![](data:image/png;base64,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)
A cockroach moves rectilinearly such that, after sometime
let its (instantaneous) velocity be equal to its average velocity over that time. Referring to the
graph as shown in the figure for the motion of the cockrach, find the average velocity of the cockroach over the time
.
![](data:image/png;base64,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)
physics-General
physics-
A boy begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
A boy begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
physics-General
physics-
The acceleration - time graph of a particle moving along a straight line is shown. After what time the particle attains its initial velocity ?
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)
The acceleration - time graph of a particle moving along a straight line is shown. After what time the particle attains its initial velocity ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQEAAAChCAYAAADHhwqnAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABzGSURBVHhe7d0HWBTH+wdw7D2xR9TEaEyI/k1EjSZqjNFfjD22qNgBC2osUaPYjbH3btSAxF4QUBPBCiiKYiEgKqAgqEhVQJrU+/53hjmB41DAE27v3s/z7BPvZYFjLve93Z2dGQMQQvQahQAheo5CgBA9RyFAiJ6jECBEz1EIEKLnKAS0WWoS4uISkKoQjwl5BygEtJIC/ud2YWCnVmj00Uf4pu8v+Mc7UnyNEM2iENBCMb4nMX7YMCzctBM2O/5Ah4blUMVoEC6HJ4s9CNEcCgGto4C341E4eT0Wj4HA44tRr2wpTDmSVSNEUygEVKW+QHhIhHigQYqXeODjhbBnSaKQFwVeJqeKfwv+J/B94zqY4RAiPVAg/MljJNB1AqIhFALZJAS5Y/OqtTjlESwqmpP62BWTzCzgEpgiKvn3yHEVvv12ENzC06VHCtw9uweLV+zA7QiVsCCkEGQbAklJSUhPZ28KzYj1c8QUU3PsdvFDSoYoapCP7e8wGb8O4QX9BE8Lx6ZJAzFj1zUon5YiLQmX9/+OfkOn48rTl6JKSOHINgQuXLiAixcvikdvKeY2pvb8BmM3u716o2lWHHb8OhhzD/qIx/n3n90aTF60GxG5rgkm4OCM7vhm8B8Iphwgb0G2IbB48WKMGzdOPHobqTjxRx/UazoIt+JFScPSn57D6J/NcfZpwSLm6XVbLFy8Db4xoqAiPcQJnep/gNE73UWFkIKTZQikpaWhZ8+eaNy4MTIy3vTGUiAy2A+etzwRGPpC1LIkBp1B5zol8fV0B1FRlYyIsCik8X9nIPLRAwQ+jeaPlNITnyHgfiCi8/hE9jkwB4On7YBqxiiSnsHPxxv3H0dJpzbJiI9PQpo4XYj0PYtVy7dmO+/PQGjgfZUjgkRsH/YpyjQ2wa1YzZ0aEf0iyxAIDg6GoaEhKlWqhHv37olqbvFBbphr1g8/m07GjMmj0bHll/hp0jr4x2RdULu6fThKGlSG5cn7opIp+UU4XI9uwJAurdFu0B+4E3gLG6YPQXOjj1HH8BOMWGKLhJREeBxeiT4dmqNB3Tpo1G4QDnk8lWInG0UENkwYgj+O3REFRoEnV49guoUF5i1ZjsXzpqFf5zYwXXlKOi5R4OnVvfixiSEat+mOUaOGY4jJIHT7/luYzNyNZ5lp9IrbDjPp+ZfHDLsAUSGkYGQZAqdPn4aBgQFKlCgBKysrUc1JkfQE836sDQPD3rgSmozUtFScWdVP+r4SMN2hPHyOwco+dWFQuhn23o4StUzRgTdgs9wCdUsaoHz9jpi3fAU2b9+NQ3s2obtRVRhUaIAhU+Zj7uwF2Gq1F9t/H44a0nOq33MBHmU7Iki+fwKjhoyDy+Osj3BFzA2M7dQSU/bcZo+QlvIMB2b1wA8TrJCkSIPbgdWwsBiPCRPGY+yYMRgjbaNHT8TeS7nvEwg4vQofSL/XeLS1dMxCSMHJMgTmzZvHQ4BtFtKnqVrRd2D2ZXl82H+1dNCcKdR9LQyl72n3m13mp/XLGzD5pCQMav0P5wOVe2UTexdDjQxQskEfnHuUIIrAjZ1jUVr6OV+P3Y7oV5/MEZjxdUUY1O2Oy4+yjjQ8ds/GiOk7EJ3t8CDZ6xBaVC+FbvPtEa+sh1/B/mMueF7AHsRnHnvRrLQBqn8zCX7v5qom0XGyCwF2DaBt27avQoD9Ozo65zk6J32ihgX5IyT2JaIf3sTxfX9ilkV3VJa+p8Nvtpm9AGH/oFN16ec06ItrT1SOs5lIL4xoVgLlW07GI1Fi/I9YopL0c4asdREVJhEre9eCQc3vcT5A3BCUHom1vwyWTgVynmoonvtg0rc1+PP/pv9k7D97E4U9pU+4bY+27xug1KcDcElNMxDyJrILAT8/P1StKh2OixBg1wVu3LghvqpC8Qz2m2dh2IjxWGN9CPYHFuBj6XvazRAh8Nge31ZlIdAP10LyCoGSKGc8AQ+yfUL7HprFQ2DgijOiwsRjec+a0lHF9zgXmBkCSfdPwnSgBS7lPNPgonzPYVLvVijF/44K+OqnyTilckqSHy/vnsB3NaSf0bA3zoeLIiEFILsQ2LlzJ78WoAwBtllbW4uvZklPfIhlg1vho9ZD4XjvOa8l+P6FRtL+baeLEIg5h+4fSD/DsDsuBqs5oy5kCJwXIXDdejqGWu7Lda6ekSJOF1Ji4XFyJ4Z1+IT/HVWbj4BbqJoweg1+JPCeAco2GYKr76iLk+g22YXAyJEjcwQA20xNTaFQ5Lgmj5Czi/kbtddKZ1GRPn3/28aPBNrPOp5ZSA/AxFbSeXylr2HvG5tZyy7SGyO/kEKgxUQEZAsBv8OZpwODVp4VFSYBK3pJIVC7Ey4EsYh5jlWjB2K108PML2fzwtsZB/91w6sfmfAY68zaSH9LGVieCBPF/Im6tgdNSxmgTqc5oOFFpDBkFQJRUVEwNjbOFQKffvop4uNzfgw+Ob0IVaSv1es8Be4PgnHf6wKWWHRGRalmbLIQDqedEfw0ArbTWks/40NscGeDc1TE+2LE59Kn7JcTc7zBgu3m8p8zeI2rqDAZWN1bCoGqHeHGzs2fHscQkym4HpX7al38zX3o+b+fcNAr6yTe++8JeL/ix9jhGScq+eN/ahlqSc/lO0uHzKMbQgpIViHg6uqKihWlT27pf/rsW7ly5XD16lWxV6a0GD8s7NuMf73E+w3Q3XQmbA5sw//qSN9Tti5Gr7ZHTLoCT84uRa0SBhi+86b4zkxJ4f6w2zSF9yYYlGqEWX85ISDiOR7cPAPLAc35z63bwQx2rj6IfP4ErkfX4Oua7PlUwuj1e7B59miYLdwPdWMGk7yPoWODMqjZvBcWrNuGnbs2wmJoP0zf7JTrhqLXU8B5wyDpdxpi/WWadIQUjqxCYP369fzNp25buXKl2CtLakwwnP+xw7GT5/EwOnMEnt+1s3B09cQL8bGZkeCPSe1r4eM+a6UD+iwvo4LgcuoYjto5wMHuKOz/uYhHz2LxyMcN9rZH4eDggKO2drjg4Y/nMeHwOOuAI7b2Ut0W9v864vS5y/B/quYUQ5L2IhzeN9xwzvEEDu7fj8NHjsHVK3v/Qz4pnmNpz/qo87/5UHddk5D8kE0IsFuF+/btqzYA2NanTx+xZ8H5/7METT9pg/333jTWX7u88LZB60+MseFiIQKEEEE2IRAaGopatWqpDQC2GRkZISREzXl9vsTh6O/D0MN8lXxG5KU8xtrRPWG+6uSrm6EIKQzZhMDJkyfVvvmVW9myZeHo6Cj2LoS0cOxfMR2W6w/hYZR2v63iIwNxZNN8zF5/GM9o3BB5S7IJgalTp6p982ffli1bJvYurARc/vcITl/xF4+1kCIDd13sccTJg44AiEbIIgRSU1Nz3Cqs3EqXLs2PAJSPe/fujeRkDQyjSdPiabsUCqSmUWcg0RxZhICHhwd/s7OuwOHDh2PmzJn8Tc/mE2BX6QcMGIDy5cvzLSgoSHwXISQ/ZBECR44cwahRo+Dikjlgx9PTk4fAZ599xh8zzs7OMDMz4/8lhOSfLEIgISEhx23BbG5BFgLsTkFViYl0pkxIQcjmwmB2rwsBQkjBUAgQoucoBAjRcxQChOg5CgFC9ByFACF6jkKAED1HIUCInqMQIETPUQgQoucoBAjRcxQChOg5rQqB1IQYhD4NQ1zy68fLUwgQojlaEQKKhGDsmDUYH1eviPIVKsPQqC2mrDqK8Dzm+6MQIERzij8E0sOxeUwH1Pn4KwwbNwkWw3uiXgU2U1A5/DBjL6LVTPJDIUCI5hR7CDw5txEDhs3ApSDlajzpuOe4DsbVpCAo3QRWt3IvqkEhQIjmFHMIKHDrxCGc840Qj5VSYWPRir/Rf9l/V9SyUAgQojnFHgIpKeqXznHbNFB6o1fBQsfcC3pSCBCiOVpxYTC3DNhOa4OSdXvgYmjuq4PKEPj8889FhRBSWNoZAgleMPm/Oui16Hiutf0ZZQhUrVqVr0eg7xubjZmQwtLKEHDfao5mHczhEaV+eR1lCNCWub333nt8KnZCCkPrQiDmni36d+6OHW55ryuoDIFq1arxNQj0eRs7dixfhKVChQo4f/68aCFC8k+rQkAR5Yk5w/vj94M3kTXBeG50TSAndkrA2uObb75BTEyMqBKSP9oTAgnB2PDrSMza6YI3LQKmDAHqHcgUHh6OJk2a8DZZvHixqBKSP9oRAqkh+HvxRMzedhY5OwwVeOxzDXfDUsTjTBQCudnb2/M2qVSpEl0oJAVS/CHwMgx/Tu6OJl/1wEqrQ9hnYwUrKytYW+3E0t/M0OPn6bgVk3NAEYWAeqamprxdvv/+e7x8mcfAC0JUFG8IJIdh92/dUE76H5f9z6tu6/67k9g5C4VAFtYWCxcuxK1bt/Do0SM0aNCAt826devEHoS8XvGGQHo8/L2u4/otT77IaO7NG2Fxue8opBDIwnoIWFvMmzePP96zZw9/XKNGDfj4+PAaIa+jPRcGC4BCIMuyZct4W0ybNo0/Tk1NxaBBg3itT58+SE5Wd7sVIVkoBGRu06ZNvC0sLCxEBbh37x7q16+PkiVLYteuXaJKiHoUAjLH3uSsLUxMTEQl05YtW3idhUFAQICoEpIbhYDMHTt2jN8xOGzYMFHJlJKSgq5du/J2Uv0aIdlRCMhcUlISHj58iMjI3JOvsB4DNq6AtdXRo0dFlZCcKAR03NKlS3lbNW7cGE+fPhVVQrJQCOi4xMREtG/fnrfX+PHjRZWQLBQCeoC1V+XKlVGmTBn8+++/okpIJgoBPTF79mzeZi1atEBEhOqcjkSfUQjI3IsXL2BnZ4dTp07xi4R5efbsGVq2bMnbzdLSUlQJoRCQvTt37qB8+fK8FyAwMFBU1XNycuLdiWx/1oaEMBQCMse6Bz/66CNUr16d3yn4Jr/88gtvu7Zt2yIhIUFUiT6jEJA51u1nZGTEL/yx+wLehO3P2o21Hxt3QAiFgMyxc/2mTZvy9rh06ZKovh67cYjtX6VKFdy8eVNUib6iEJA5dh8Am0Tk/fffL9B5/ogRI3gbdunShSYg0XMUAjKnUChw+/ZtXL16lfcU5BcbVNSwYUPejhs2bBBVoo8oBPSYtbU1b0dDQ0Pey0D0E4WAHktLS0P//v15W/bt2xfp6eoXeyG6jUJAz7FuxVq1avH2tLGxEVWiTygECDZu3Mjbk91vEBQUJKpEX1AI6IDQ0FDe1RcfHy8qBcN6B3744QfepqNGjeIXG4n+oBDQAebm5ihbtizWrFkjKgXHQkQ5AYmtra2oEn1AIaADhg4dyttjyZIlolI4ypmL2RqPISF5LwhLdAuFgA5Q3vizfPlyUSkctpipcgKSiRMn0mmBnqAQ0AGaCgHGxcWFL3POTi8cHR1FlegyCgEdwPr4WXvMnz9fVN7OrFmz+M8zNjZGdHS0qBJdRSGgA9jSY2yI8JkzZ0Tl7URFReHLL7/kbTx37lxRJbqKQoCoxeYiLFeuHB+i7ObmJqpEF1EIkDyx2YlZO3fo0IGPViS6iUKA5Il1E3722We8rTVx0ZFoJwoB8lpHjhzhC5vWrFmTJiDRURQCOiAsLAyHDx+Gh4eHxvv2MzIyMHz4cN7e3bp1owlIdBCFgA44ceIE/7Tu1avXO3mTsglI6tWrx9t869atokp0BYWADmBrDrD2YDMIF2R2oYJQLoFep04d+Pn5iSrRBRQCOoC1R4kSJdCqVSs8f/5cVDUrOTkZP/30E2/3QYMG8QlJiG6gENAB7IJdqVKl+JV8dn3gXWFzGdauXZu3/d69e0WVyB2FgA5gswOxVYXq16+PJ0+eiOq7sX79et72bJLSx48fiyqRMwoBHcDWIGRtcvny5Xd+9Z6tWqScgMTU1JT3HhB5oxAgBca6ItkEJGypc3t7e1ElckUhQApl0aJF/DVo0qQJwsPDRZXIEYUAKZTY2Fi0bt2avw5Tp04VVSJHFAKk0M6dO4dKlSrxi5Jnz54VVSI3FAI6gnXfsSG/hZ1xuLCmTZvGXwt2VEATkMgThYAOYCsHtWvXjrdJUX8is1WRv/jiC/67FyxYIKpETigEdADrpuvUqRNvEzbqr6idPHkSpUuX5j0G7u7uokrkgkJARyjXFCyOpcTYyMVx48bx39+xY8ciPyUhb4dCQEewG3dYm2zevFlUiha7U7FRo0b8ObzNIijaIvbRbVz3CUbKG9ZoTQm/D/dbvpDzvEsUAjpCORUYW0CkuOzfv58/h+rVq8Pb21tU5UYBf+e9mL9gNZzvRkqPXk+RGAKHLQthuWofHieIosxQCOiI//77D3///TcfR1Bc2MjCwYMH89emd+/efORhcUuNjkJEbPwb38xK989sxM+DfoFzcAFOaVIiYTN7CPpN2oKQVFGTEQoBolG+vr58IBN7fXbs2CGqxSUDp9YtwrYzt8Xj10t5eBp9WhpjwfEAUSmAF54Y1bYpRq49A7kNsqYQIBq3fft2/vrUrVsX9+/fF9Wi9+y/vWj/YWPMP/1QVF4nAbvMjfFB+8kITBGlAvLcPhzv120PO99YUZEHCgGicSkpKejZsyd/jUxMTIp+TcP0l/B3sUHPpmyV5coYMHMlrG0O4opfhNght8Q7f8OoTGn0WnwC6q4Fxjy+A6fjdrD/5wxu3PaB150HiE/OuWdysB1aljNAR0tbFDJHigWFAHkn2IXBGjVq8LkPDxw4IKpF5GUEzh7chGHfNeQh0HXsTCxbth5OXnnNtZABp0U9pH2rYZFd7qnTnlw7gHHDR2LZFivY7NoM8+5fokGHifBXnckt4SEmtiyNEo2GwDPmDd0KWoRCQEewW3bZoTcb2KMtVq9ezV8n1nVYHBOQXN/YT/r9tbHaPe8jAE7xCLN/MIRB2SbY7REnioIiFAv7NUenqXaiIB01+OzHzya/witC5ew/IxrrBn8i/c762Hg1ShS1H4WAjliyZAmqVKmCxYsXi0rxY5OdfPfdd/y1YjcTFTXnFb2k310LS84HikoeIt0wwKgkDGq2x3F/UVNK88eE9rVRyegnHLoaIB0zMKm4ecUD4bGqB/0J2DelLf97Lax9RE37UQjoiKVLl/I2mTRpkqhohytXrvDbidkciOz24qKU3xBQPHBEZ0MDGNT/AU7BovjKS7hus0ANqW0NytdFD/N5cHDP6+e9xLG5mbMuDVjhLGraj0JAR2zZsoW3yZgxY0RFe8ybN48/txYtWhTpBCT5PhK4L0KgXmc4BolaDilwP7QS3Yzr8r+DhcGQeXsRmevqXzLs53fl+/RffkHUtB+FgI6wtrbmbcKmA9c2bKThV199xZ/fjBkzRPXdc17BeihqY+mFN4RAuDgdqNEWdr4qPRmpLxAZnXkroCL+MU7unIPWH5aXfu57mLrPi9ezJOLwbx353zl6p+rXtBeFgI5gowdZm/To0UNUtAsb4sxOCcqWLQtn56I5VL6wnB0JVMOyS5H8cWJCItLV9VZmBGN2F+lTvowRrNxVLqzGeWLD6q3weSYeS56eXoOPyxugzWTVEZux+NOsmfQ7a2OVi3ymXKMQ0BHBwcF85WAHBwdR0T5Tpkzhr1ubNm2KpBfj+l/mKCH9vrajl2HP9o2wOnkDiWp77hRwXNBdem5VsfCYr6gJyT6Y0KkZuk2zQZiYyDnm0iYY1amPOfYqdxYmP8WsjpVhYNgblyPlc/8whQApMux6QNOmTflrVxS9GAkhVzH5x2YoV6E6frRYi3uRSeIrucV7W6Nx6VL8ZqEcHX8p/lhi2hkNGxmj78jxmPGbJcaPHosVf7vghcps6+kRF9C5qgFaTNyNpCK+P+ptUAiQIsWmKGdLprHuzOvXr4vqu5P+MlYKnygkvfHenRfYOqQJPvj2VwRnv+CnSJNOI+IR+zwCQQH3cf/BAzyJUL/eY6Dtr6hZyxg2N99wX4KWoRAgRc7c3Jy/fmwRE3YvgbaI83fAj82a4/cTb7iQqE56COb3aoW+cw9DbiOKKQRIkQsMDMQnn7A76wywYcMGUc0/tspSXJzKnX0acvf4SvTuNx4uwQUJpxRctPoNA8Yshe+7eVrvFIWAjmCfqOxQ+8SJE+98KTJNYHMfsNMCttS5j0/B7q4LDQ2FmZkZn9iU/c3soqjmKPDfvzsxe8EaXPbNxxX+pAi4HtmKBUv/hHeEfMYLZEchoCMePnyIWrVqoVq1avzf2o7NkPzzzz/z17FPnz78cX6xiVWVPQ2s25H9f9C1a1csXLiQdz9GRka+9dLpEf4ecPd6JD0vUchD+rNAXHS7jgjtz908yToE2FLcJFNISAg+/PBDVKhQoVhnFyqIgIAAPucAey3/+usvUc0fNqeh8pQi+8ZmPa5Xrx4PGLaCMlsghbVNYb3pIn9Rj5J+F2QdAo0bN+ZTWNGWzA+JP//8c74aEFuERN0+2raxT/9169bx15K9cdlpgbr91G3saGDOnDk5AkDdxoYys3URBg4ciBUrVvCVm2k25JxkGQLnz59/9SKzTxLa6vJza/YpyNqkZs2aavfRto298dnzVr6W7FSGTU3G6ur2V93Y6Y/ye/O7sa5JdgTBJjth05+xUHjw4AFfcl1fyTIE2Nh0NmqOzWqr7oWmjbb8bix02ArLQUFqRw7pBVmGgBKbROPWrVu0SduNGzdgZWWFtWvX4syZM2r30ZbN09MTXl7e8Pb6T/p3Zk050tDQ0JAPOWazJ6t+X/aN/YzDhw/zBVFV39h5bexUiV036dy5M7+I6OTkBD8/P0RFRb31hUQ5k3UIEN0RHxf3agISS0tLUX29WbNm8W5G1Td79o31HLDVmVh3Ius+Zd2LJCcKAVKk4gJcMX9Mb7T4ohmM23yLUTPX48aTzPV73C5dQsWKFVGuXDk4OjryWl7YLcesJyT7G5590rPD+759+/IjInbtiN2YRF6PQoAUmRf3/0H/5nVR38gY7b9ti0Y1Mi9k1m09HOeDMoNgzuzZvNa8efM8lzpPTEzkQ6aVV/779evHrxG5urri+fPnBbrngFAIkKKSEoW/Zppg0PRtuBeeuTJRpL8LJnZuzN/0HX6x4ffcx8ZE8wBgtZkzZ/L9VEVERGDbtm04ffo0wsLCRJUUFoUAKRJJoXdhvW0XAlSG38Zc2YbPyhqg8lfm8Ba9dOyCnXICEnZPiKoiX8dAx1EIkCKRlpKEuHg1g3KeXUSP+qVQtfU43M22dOHEiRP50UC7du30ug+/KFAIkOIV/A/aGZZDu4l7c6zaw271ZXdAsiBg5/vk3aEQIMXK97AlPqzTDNaeuSfqYPMmslMCdgdkUUxAoq8oBEjxeRmMmd2/QK/ZdlC3iDm7yj9q1Ch+NMBGCWrTBCS6hEKAFJMMXNw2Ht/1nYk76mfr4tjtvMqlztnaCkTzKARIsQh23YEB/UbDKeDNU/Hs3r2bh0Dt2rXh66syGzB5axQCpMjF3HbAuKFmOHAtf338bNgwm3iEBQG7BZg9JppDIUCKVNxDF8waNw573FUm+siIQVBwCJLyGMdz9+5dvtQ5CwIbGxtRJZpAIUCKTHKQM8b3bAeT2X/i6q2bcHO7xCdAuXjWHksmmGGBtTOSX/Mhv3HjRh4CDRo00Ouhv5pGIUCKRIy/IwZ88R5/E6vdKrbEQa8Ysbd6bEagLl268P1NTU31evivJlEIkCIR88Ade6z/xv4DB7Bv317s3Ztzszt3I9eKPupcu3aNnxaw+wdsbW1FlbwNCgEiO0uWLOFHAw0bNoS/v7+oksKiECCyw04LWrduzecnZEcG5O1QCBBZYhcG2dRg5O1RCBCi5ygECNFzFAKE6DkKAUL0HIUAIXqOQoAQPUchQIieoxAgRM9RCBCi14D/B/6zQAdtQREYAAAAAElFTkSuQmCC)
physics-General
physics-
Starting from rest at S=0, a boat travels in a straight line with an acceleration as shown by the a-s graph. The boat speed at s=40,90 and 200 m is
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)
Starting from rest at S=0, a boat travels in a straight line with an acceleration as shown by the a-s graph. The boat speed at s=40,90 and 200 m is
![](data:image/png;base64,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)
physics-General
physics-
The figure shows the displacement-time
graph of a body moving in a straight line. Which one of the graphs shown. represents the velocity-time
graph of the motion of the body.
![](data:image/png;base64,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)
The figure shows the displacement-time
graph of a body moving in a straight line. Which one of the graphs shown. represents the velocity-time
graph of the motion of the body.
![](data:image/png;base64,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)
physics-General
physics-
Two particles are thrown from the same point in the same vertical plane, as shown in figure simultaneously. Then indicate the correct statements :
![](data:image/png;base64,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)
Two particles are thrown from the same point in the same vertical plane, as shown in figure simultaneously. Then indicate the correct statements :
![](data:image/png;base64,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)
physics-General