A ball is dropped vertically from a height

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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 resistance, its velocity $v$ varies with the height $h$ above the ground is

A

B

C

D

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 resistance, its velocity $v$ varies with the height $h$ above the ground is

For the given condition initial height $h = d$ and velocity of the ball is zero.

When the ball moves downward its velocity increases and it will be maximum when the ball hits the ground & just after the collision it becomes half and in opposite direction.

As the ball moves upward its velocity again decreases and becomes zero at height $d/2$.

This explanation match with graph (A).