Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In the absence of air resistance, a ball dropped from a height h 2h seconds to fall to the ground, where g 9.8m /s? is the acceleration due to gravity. The time taken to bounce up to a given height equals the g requires time to fall from that height to the ground. How long does it take for a ball dropped from 17 m to come to rest? It will take O seconds for a ball dropped from 17 m to come to rest. (Type an exact answer, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 51E
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Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In the absence of air resistance, a ball dropped from a height h
2h
seconds to fall to the ground, where g 9.8m /s? is the acceleration due to gravity. The time taken to bounce up to a given height equals the
requires
time to fall from that height to the ground. How long does it take for a ball dropped from 17 m to come to rest?
It will take seconds for a ball dropped from 17 m to come to rest.
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:9.3.85 Question Help Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In the absence of air resistance, a ball dropped from a height h 2h seconds to fall to the ground, where g 9.8m /s? is the acceleration due to gravity. The time taken to bounce up to a given height equals the requires time to fall from that height to the ground. How long does it take for a ball dropped from 17 m to come to rest? It will take seconds for a ball dropped from 17 m to come to rest. (Type an exact answer, using radicals as needed.)
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