Question

a ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistances, its velocity v varies with the height h above the ground as

Answer 1

At height d above the ground , ball's velocity =0,when it is at rest and it's velocity =d/t, when it is in the state motion at at height d in t, time.

Velocity of a body depends both on distance and time ,more the distance travelled by the body in less time more is its velocity.

At distance d/2 in t,time balls velocity= d/2/t, so Velocity increases with the increase in distance in less time then the previous time taken.