A ball is dropped vertically from a height d above the ground. If 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 as
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As the ball falls, at height h the velocity of the ball is zero and at any height h,
v 2 = u 2 +2g(d − − h), with decreasing h, v increases.
When h = 0, velocity v is maximum.
After the ball collides the floor, its velocity changes in magnitude as wall as direction, as the body goes to a smaller height in bouncing up. The change in velocity takes place within zero height and with no change in time. Hence, is correct.
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