Chapter 13.3, Problem 98E

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**Bouncing Ball **If the ball in Exercise 97 is dropped from a height of 8 ft, then 1 s is required for its first complete bounce

**97. Bouncing Ball **A certain ball rebounds to half the height from which it is dropped. Use an infinite geometric series to approximate the total distance the ball travels after being dropped from 1 m above the ground until it comes to rest.

To determine

**To find:**

Estimation of the time interval from the instant the ball first touches the ground until it stop bouncing.

Explanation

**Given:**

A ball requires

**Approach:**

Let

Since, the next bounce requires

Clearly,

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