Bouncing ball for time Suppose a rubber ball, when dropped

Chapter 11, Problem 69E

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QUESTION:

Bouncing ball for time Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. How long does it take for a ball dropped from 10 m to come to rest? In the absence of air resistance, a ball dropped from a height h requires \(\sqrt{2 h / g}\) seconds to fall to the ground, where \(g\approx9.8\mathrm{\ m}/\mathrm{s}^2\) is the acceleration due to gravity. The time taken to bounce up to a given height equals the time to fall from that height to the ground.

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QUESTION:

Bouncing ball for time Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. How long does it take for a ball dropped from 10 m to come to rest? In the absence of air resistance, a ball dropped from a height h requires \(\sqrt{2 h / g}\) seconds to fall to the ground, where \(g\approx9.8\mathrm{\ m}/\mathrm{s}^2\) is the acceleration due to gravity. The time taken to bounce up to a given height equals the time to fall from that height to the ground.

ANSWER:

Problem 69E

Bouncing ball for time 
Suppose a rubber ball, when dropped from a given height, returns to a fraction
p of that height. How long does it take for a ball dropped from 10m to come to rest? In the absence of air resistance, a ball dropped from a height h requires  seconds to fall to the ground, where g ≈ 9.8 m/s2 is the acceleration due to gravity. The time taken to bounce up to a given height equals the time to fall from

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