Concept explainers
To estimate the time interval from the instant the ball first touches the ground until it stops bouncing.
Answer to Problem 82E
Explanation of Solution
Given:
The ball is dropped form a height of 8 ft and takes 1 s to complete the first bounce. Each bounce requires
Calculation:
The ball touches the ground for the first time after
For the given information, the infinite geometric series of the time required to complete the bounce will be
So, the total time required for the ball to come to rest is given by the sum of the infinite series.
So, the time interval for the ball, from the instant it first touches the ground until it stops bouncing is
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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