A tennis ball bouncing on a hard surface compresses and then rebounds. The detai

Question

A tennis ball bouncing on a hard surface compresses and then rebounds. The details of the rebound are specified in tennis regulations. Tennis balls, to be acceptable for tournament play, must have a mass of 57.5 g. When dropped from a height of 2.5 m onto a concrete surface, a ball must rebound to a height of 1.4 m. During impact, the ball compresses by approximately 6 mm. How fast is the ball moving when it hits the concrete surface? (Ignore air resistance.) A. 5 m/s B. 7 m/s C. 25 m/s D. 50m/s The ball

Explanation / Answer

v2 = 2gs

= 2 x (-9.81) x (-2.5) [Take upwards as +ve and downwards as -ve.]

= 49.05

v = (49.05)

= -7.0 m/s ( as downwards)

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v2 = u2 + 2gs

0 = u2 + 2 x (-9.8) x 1.4

u2 = 27.44

u = (27.44)

= 5.24 m/s

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