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Question
A ball is dropped vertically from a height d above the ground and bounces up vertically to height d2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as
A ball is dropped vertically from a height d above the ground and bounces up vertically to height d2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as
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Solution
The correct option is A
(i) For uniformly accelerated/decelerated motion v2=u2±2gh
i.e. v−h graph will be a parabola (because equation is quadratic).
(ii) Initially velocity is downwards (-ve) and then after collision, it reverses its direction with lesser magnitude, i.e. velocity is upwards (+ve). Graph (a) satisfies both these conditions.
(i) For uniformly accelerated/decelerated motion v2=u2±2gh
i.e. v−h graph will be a parabola (because equation is quadratic).
(ii) Initially velocity is downwards (-ve) and then after collision, it reverses its direction with lesser magnitude, i.e. velocity is upwards (+ve). Graph (a) satisfies both these conditions.
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