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 as:

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During the fall v 2 = 2 g ( d − h ) : the speed grows as h decreases, tracing a parabola opening toward the velocity axis. After the bounce the ball rises to only d /2 , so the upward branch is the same curve traversed over the lower half of heights. This is graph (A).

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