Question
A rubber ball bounces on the ground as shown. After each bounce, the ball reaches one-half the highest of the bounce before it. If the time the ball was in the air between the first and second bounce was 1 second, what would be the time between the second and third bounce?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJQAAABzCAYAAAB+fSvuAAARSklEQVR4nO2de1TT5R/H38CQoXKbpBMNJ8gUQQaITpswgvCKF5RMActSQzLtmIfTKdDOIQpTj5qVZp7Ug4SZmlcwaBKXVDAFAcWjchXE0GGKwHADn98fHPYTL7DLd/vua9/XP8j2PJ/nPXzveZ49l8/MCCEELCwUYU63AJaXC9ZQLJTCGoqFUlhDsVCKSRmqtLQU0dHRdMtg0QMzU/qUp1Ao4OzsjMrKStjY2NAth0UHTKqHsra2RnBwME6cOEG3FBYdMSlDAcDcuXPx22+/0S2DRUdMasgDgObmZggEAtTW1sLa2ppuOSxaYnI9VP/+/SGRSJCRkUG3FBYdMDlDAcC8efPYYY+hmNyQBwD379/HqFGjUFdXBw6HQ7ccFi0wyR7K3t4eY8eORW5uLt1SWLTEJA0FAGFhYUhPT6dbBouWmKyhQkJC8Mcff9Atg0VLTNZQw4YNg1KpxO3bt+mWwqIFJmsoAJg8eTIyMzPplsGiBSZtqClTprCGYhgmuWzQRVNTE0QiEaqqquiWwqIhJt1D2draws7ODjdv3qRbCouGmLShAEAqlSI7O5tuGSwaYvKGCgoKwunTp43a5p07d7BlyxaEh4fD19cXwcHBWLlyJfLy8oyqg4mY9BwK6NyG8fHxMco86sGDB/jss89w4cIFzJ49G/7+/hAKhWhsbERxcTFOnjyJiooKbNiwAQEBAQbXw0gIAxgzZgypqakxaBsFBQVkxIgR5IcffuixXHl5OZk0aRJZtWoV6ejoMKgmJmLyQx4ATJo0CWfPnjVY/JycHERGRuLQoUO9nml3dXVFdnY22traEB4ejra2NoPpYiKMMJSvry+KiooMErukpARLlixBWloaRCKRRnUsLCywc+dOjB49GgsWLMDjx48Noo2JMMJQ3t7eKC4upjzu3bt3MX/+fOzbtw9CoVDr+omJiXB0dMTq1asp18ZY6B5zNaGtrY04OTmRx48fUxp3+vTpZPfu3XrFUKlUJDg4mKSkpFCkitkwooeysrLC8OHDcfXqVcpi7t27FxwOB++++65ecTgcDpKTk7Fu3Tp2ARYMGfIA4LXXXkN+fj4lsRoaGpCQkIAdO3ZQEs/JyQlJSUlYvHgxJfGYDGMM5e3tTdnEPCEhAbGxsXBycqIkHgDMnz8fjo6O+PnnnymLyUjoHnM15cqVK8Tf31/vOOXl5cTHx4e0t7dToKo79fX1xN3dnTQ1NVEemymY/Ep5Fx0dHRgyZAhu374NMzMzneNERkZi8eLFCAkJoVDd/9mxYweqqqqwYcMGg8Q3dRgz5FlYWGDo0KGorq7WOcbly5dRX19vMDMBQHR0NDIzM/+zE3TGGAoAfHx8cOnSJZ3rr1u3DrGxsRQqehZzc3OsWbMGa9euNWg7pgqjDCUSiXSemBcWFqKiogLTp0+nWNWzREREID8/H6WlpQZvy9RgnKFKSkp0qrthwwajrWhbWFggNjYWCQkJRmnPlGDMpBzoPKcUGBiIsrIyreo1NjZi9OjRqK6uNloCjra2NgwfPhwFBQVwdnY2SpumAKN6qIEDB6KxsVHrzdjk5GTMnTvXqNlcuFwulixZgu+++85obZoE9K5aaI+fnx+pqqrSqo6Hhwe5cOGCgRS9mPr6ejJw4EDS0tJi9LbpglE9FAC4ubnh+vXrGpe/ePEiLCwsMHbsWAOqej6DBw9GcHDwf2r1nHGGEgqFWhkqNTUVCxcuNKCinomJiaFsz5AJMM5Qbm5uuHHjhkZlHz9+jF9//RULFiwwsKoX4+/vD5VKhYKCAto0GBNGGqq8vFyjsrm5uXj11VchEAgMrKpn/ku9FOMM5eLigpqaGo3KHjhwgNbeqYtFixYhLS0NDx48oFuKwWGcoRwdHSGXy3stRwjBiRMnEB4ebgRVPWNjY4MpU6bg8OHDdEsxOIwzFNB5Rf3+/fs9lulaUKTyzJM+REZGIjU1lW4ZBoeRhnJ1de11Yn706FHMmzfPSIp6JyQkBFeuXHnp810x0lCafNI7duyYSRmKw+EgPDwcv/zyC91SDAojDSUQCHo8b1ReXg4ul0v7p7uniYiIwIEDB+iWYVAYaShnZ2fcunXrhc9nZGRgypQpRlSkGRMmTEBdXR0aGhrolmIwGGmorqPALyIzMxOTJ082oiLNMDMzQ2hoKE6ePGmwNg4ePIi33noLXl5ecHJywogRIxAaGorNmzfj0aNHBmtXDd2bibpw7do1EhgY+NznVCoV4fP5pK2tzciqNCM9PZ3MmjWL8rjFxcVEKpWSoKAgcvLkSVJfX08IIaSpqYnk5eWRJUuWEKFQSI4fP05520/CSEPJ5XLi6en53Ofy8vLI1KlTjaxIcx49ekT4fD5RKBSUxUxNTSUjR44kaWlpPZYrLS0lUqnUoJljGDnk8Xg83Lt377nPyWQykxzuuujTpw+kUilkMhkl8TZt2oRvvvkGubm5vR5v9vT0hEwmg1KpRFhYGFpaWijR8CSMNJSZmRm4XC4UCsUzz/355594/fXXaVClOaGhoUhLS9M7TlJSErKyspCVlYWBAwdqVIfD4WDHjh2QSqUICQmhPh2RQfo9IyCRSEhFRUW3xxQKBeHz+SafCOzu3btEIBDoFSMjI4OIRCK9Du99+umnZPHixXrpeBpG9lAAMGDAADQ2NnZ7LD8/H+PGjYO5uWm/LEdHRwwePFjnCxc3b95ETEwMDh48iL59++qsIzExEXfu3MG2bdt0jvE0pv2X74EBAwY8M4/KyclBYGAgTYq0Q9dhjxCChQsXYtOmTXBzc9NLg7m5OVJTU7Fz507Kzmu9dIaSSqU0KdKOGTNm6GSo5ORkDB8+HGFhYZTosLOzw549exATE4P29na94zHaUE8OeSqVCmVlZfD29qZRleaIRCLU1tb2emriSZqbm7F+/Xps2rSJUi3jx49HYGAgtm7dqncsRhvqyR7q0qVL8PT0hIWFBY2qtMPf31+r3Odffvklli9fDj6fT7mWxMREJCcn652TgbGGcnBw6GaogoICTJgwgUZF2iOVSpGTk6NR2erqamRlZeHDDz80iJa+ffti69at+Oijj/SKw1hD8Xg8/Pvvv+rf8/PzMXHiRBoVaU9gYKDGhvriiy8QFxdn0B44KCgI7e3tOHfunM4xGGuofv36obm5Wf07E3soNzc3NDQ0oKmpqcdylZWVuHjxImbOnGlwTfHx8YiPj9e5PqMN1draCgCQy+UwMzPDgAEDaFalPRKJBGfOnOmxTGJiIj7++GO9Eq1pilgshrm5ObKysnSqz1hDcblctaHOnz8PsVhMsyLd6G3Yq6ioQG5uLiIiIoymKT4+HnFxcTrVZayhrK2t1YYqLCyEr68vzYp0IyAgoEdDffXVV1i1ahU4HI7RNEmlUlhaWur0rfSMNVTfvn3Vm8OXLl1izPrT07i7u6Ompkb95niS+/fv48SJE3rnUteFNWvWYMuWLVrXY6yhrK2t1YYqLi5mrKGAznnL8z5ZpaSkYNasWbCxsTG6ppkzZ6KiokLrXFyMNRSXy4VSqcTDhw/R3t4OBwcHuiXpTEBAAHJzc595fNeuXVi2bBkNijr3+WJiYrTOb8VYQwGdG6XFxcXw8vKiW4pePM9QXZu1dH7YWLp0KQ4dOqTVFXpGGwronD/5+PjQLUMvvL29cfXqVSiVSvVjdPZOXTg4OGDOnDnYvXu3xnUYbSgLCwsUFRUxev4EdL4Ob29vFBYWAgBaW1tx/PhxREVF0awMWLlyJbZv365xeUYbytraGiUlJfD09KRbit6IxWL1MJeeno6AgADY29vTrAoYM2YM7OzsNN6OYbShuFwuqqur4eLiQrcUvRGLxTh//jwA4NChQ5g/fz7Niv5PVFSUxmkdGZVW+mk8PDxgaWmp17crmApyuRwTJ05EaWkpBAIBKisr9TreSyX//PMPfHx8UFtb2+sCK6N7KIVCAXd3d7plUIKjoyOAzpu/AQEBJmMmAODz+fDy8kJGRkavZRlvqFGjRtEtgzLGjRuHPXv24M0336RbyjNERkYiJSWl13KMNlRbW9tLZaixY8fi77//xowZM+iW8gxz586FTCbrdmToeTDaUA4ODvDz86NbBmWMHDkSYrHYpIa7Lvr374/t27ejo6Ojx3LG28I2AF5eXnB1daVbBmWY8hV6ABoNxYzuocaNG0e3BErp06cPQkND6ZahF6yhWCjFrLW1lezbtw8JCQmIjo6Gg4MDzp8/Dz8/P6xYscKkryXdu3cPPB6PbhksT2BGCCHNzc2wsbFBVVUVBAIBWlpa4OPjg9mzZ2Pjxo10a3wGQghOnz4NlUqFadOm0S2HMhQKBSorK+Hi4mLUr2LrDUIIbty4gVdeeaXXY0LmAJ5JLtGvXz94eXnh7Nmz6sc6OjqQnp6OY8eO4eHDhwCA2tpaFBYWorW1FQqFAoWFheqLgnV1dSgrK0NlZSUOHz7cLW1M1+bnqVOnun33XUlJCY4cOdJrYvvLly8jLi5O52QTpsi5c+fg7++PZcuWgc/n63xJgGqUSiWWLVuG+Ph4jBgxAj/++GPPFQghpKWlhQAg5eXlpKOjg1y/fp0MHTqUpKSkEEI60wwuWrSIVFVVkZycHOLu7k7kcjlRKpXExcWFFBUVEUIIiYuLI9HR0aSxsZFMmzaNhIWFkc2bN5P33nuPrFixghBCyM2bN0lsbCx59OgRiYqKIkuXLiWEELJnzx5SWVlJCgoKyODBg0lNTU2vqWjWr19PaSoaOvn++++JSqUihBCSlJRE/Pz8aFbUSWlpKWloaCDt7e2ktLSUuLq69li+27LBkSNHYG9vD5lMBnt7e/Wm69GjR2Fubg6BQACBQAA/Pz+sX78eGzdu7NYFCgQCyOVy8Hg8iEQi9OvXD6tXr8a1a9cwe/ZsAJ3XqaOiotCnTx+sXbsWZWVlaGpqwt69e2FpaQmg85x1dnY23n777Re+EYxxpciYLF++XD1SvPPOO/jpp59oVtTJkyc57Ozser19081Q4eHhEAgEWLp0KZKSkhAcHIxbt25BJpPB1ta2WyOnTp3qVYyVlZX6p0qlAgBcvXpVvcEoFAohFApRWFiI/v37IzIyEgDUP/9LPDntKC4uxvvvv0+jmu60t7fj4sWLiI+P73VO/cJlA7FYDIVCgVu3bmHQoEGoqKhQP2djY4ORI0cC6OwpiBYHFvh8fjcz/vXXX+DxeDhz5oz6Bi0h5KWaH2kDIQTHjh3DihUr6JbSDS6XC1tbWwQHB/eYMYYDQP0f2XUE9c6dO/j6668xZ84c9RGRb7/9Vn1+Oy8vD59//jmAzl7m+PHj6OjowO+//w4rKys8fPiwW/7LJ//9wQcfYOrUqeq2BAIBJBIJfH19ERQUhKioKFy+fBmffPIJxX8SZrB//37Exsaa1PYLh8OBSCTCgQMH4OHhgStXrkAikTy3rFlrayvJzs7GjRs3YGZmBh6PB6VSqd5X6lqHunbtGg4fPoxhw4Zh/Pjx6uxpdXV12Lx5M8RiMZydndHQ0ACJRIK0tDRYWVkhNDQUBQUFKC8vh1Qqhbu7OzIzMyGTySCRSDB9+nRYWlqiubkZu3btglwuR0REBDw8PHp8kXFxcbC1tX2pjJeVlYWhQ4dCKBQC6Dwj1XWsxVRYtGgRtm3b9sLlA0YesKuursa6devA4/EQGxuLIUOG0C1Jb/bv34/du3dj2LBhADrfqNu2bVObiy6ys7NRVFSEN954A/n5+eBwOD1ePGWkoV42CCHIzMzsNhflcrkmkS9ULpfj9OnTsLa2hlgsxqBBg3oszxqKhVIYvTnMYnqwhmKhFNZQLJTCGoqFUlhDsVAKaygWSmENxUIprKFYKIU1FAulsIZioRTWUCyUwhqKhVJYQ7FQCmsoFkphDcVCKayhWCiFNRQLpbCGYqGU/wEL/wh1XR7G8wAAAABJRU5ErkJggg==)
- 0.50 sec
- 0.71 sec
- 1.0 sec
- 1.4 sec
The correct answer is: 0.71 sec
Related Questions to study
A monatomic ideal gas is used as the working substance for the Carnot cycle shown in the figure. Processes AB and CD are isothermal, while processes BC and DA are adiabatic. During process AB, 400 J of work is done by the gas on the surroundings. How much heat is expelled by the gas during process CD?
![](data:image/png;base64,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)
A monatomic ideal gas is used as the working substance for the Carnot cycle shown in the figure. Processes AB and CD are isothermal, while processes BC and DA are adiabatic. During process AB, 400 J of work is done by the gas on the surroundings. How much heat is expelled by the gas during process CD?
![](data:image/png;base64,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)
A projectle is fired horizontally from an inclined plane (of inclination 30° with horizontal) with speed = 50 m/s. If
, range of the projectile measured along the incline is
A projectle is fired horizontally from an inclined plane (of inclination 30° with horizontal) with speed = 50 m/s. If
, range of the projectile measured along the incline is
The two points A and B in a plane are such that for all points P lies on circle satisfied
, then k will not be equal to
So here we have given the two points A and B in a plane are such that for all points P lies on circle satisfied . We can also use equation of circle to find the answer. So here the correct option is none of these.
The two points A and B in a plane are such that for all points P lies on circle satisfied
, then k will not be equal to
So here we have given the two points A and B in a plane are such that for all points P lies on circle satisfied . We can also use equation of circle to find the answer. So here the correct option is none of these.
A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius. The locus of the centre of the circle is
So here we have given to find the locus is in which form. We used the concept of circles and solved the question. We can also use equation of circle to find the answer. So the locus is x2-10y+5=0, this is the representation of parabola, so correct answer is parabola.
A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius. The locus of the centre of the circle is
So here we have given to find the locus is in which form. We used the concept of circles and solved the question. We can also use equation of circle to find the answer. So the locus is x2-10y+5=0, this is the representation of parabola, so correct answer is parabola.
If d is the distance between the centres of two circles,
are their radii and
, then
For such questions, we have to see how the cricles are with respect to each other to find the distance between the centers.
If d is the distance between the centres of two circles,
are their radii and
, then
For such questions, we have to see how the cricles are with respect to each other to find the distance between the centers.