A tennis ball bounces on the floor three times. If each time it loses 22.0% of its energy due to heating, how high does it rise after the third bounce, provided we released it 2.3 m from the floor?
A) 110 cm
B) 11 cm
C) 110 mm
D) 140 cm

Question

Quizplus · Accepted Answer

After each bounce, the ball's energy is reduced by 22% or 0.22. Therefore, after the first bounce, the ball reaches a height of (1-0.22) x 2.3 = 1.794 meters. After the second bounce, it reaches a height of (1-0.22) x 1.794 = 1.4003 meters. After the third bounce, it reaches a height of (1-0.22) x 1.4003 = 1.09224 meters or 109.224 centimeters or 110 centimeters(rounded off to the nearest integer). Therefore, the answer is A.

A Tennis Ball Bounces on the Floor Three Times