The ball in Exercise 75 takes the following times for each fall. Beginning with s 2 the

Question:

The ball in Exercise 75 takes the following times for each fall.

Beginning with s₂ the ball takes the same amount of time to bounce up as it does to fall, and so the total time elapsed before it comes to rest is given by

Find this total time.

Data from in Exercise 75

A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 11, 2023 10:44 PM

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The ball in Exercise 75 takes the following times for each fall. Beginning with s 2 the

Question:

S₁ = 16t² + 16, S₂16t² + 16(0.81), = S316t² + 16(0.81)², = 16(0.81)³, S4 = 16t² + ⠀ - S₁16t² + 16(0.81)-1, - = - S₁ = 0 when t = 1 S₂ = 0 when t = 0.9 (0.9)² $3 0 when t = = S4=0 when t = (0.9)³ ⠀ Sn = 0 when t = (0.9)n-1

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Calculus

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