A tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height /h2. The velocity versus height of the ball during its motion may be represented graphically by (graphs are drawn schematically and not to scale)

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(4) Graph (d). Take upward as positive. Falling from h: v = -√2g(h - y), negative and growing in size as the height y shrinks to zero. In the v–h plane that is a parabola (y = h - v²/2g) running from (h, 0) down to (0, -√2gh). After the bounce the ball rises with a smaller positive speed: v = +√2g(h/2 - y), another parabola from (0, +√gh) up to (h/2, 0). Two curved branches, the lower one (negative v) reaching h, the upper one (positive v) ending at h/2: graph (d).

A tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height /h2. The velocity versus height of the ball during its motion may be represented graphically by (graphs are drawn schematically and not to scale)

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