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Westkost [7]
2 years ago
14

Suppose you drop a ball from a height of 10 feet. after the ball hits the floor, it rebounds to a height defined by the recursiv

e formula an = 0.85an – 1. what is a1? feet what is the height the ball rebounds to after its third bounce? round your answer to three decimal places. feet
Mathematics
1 answer:
Lapatulllka [165]2 years ago
4 0

The <em>maximum</em> height of the ball after its third bounce is equal to 3.568 feet.

<h3>What is the maximum height of a ball at the third bounce?</h3>

In this question we are aware that the <em>maximum</em> height reached by the ball decreases <em>linearly</em> after each bounce. To determine that height, we must take advantage of the recursive formula described in statement:

n = 0

a₀ = 10 ft

n = 1

a₁ = 0.85 · 10 - 1

a₁ = 8.5 - 1

a₁ = 7.5 ft

n = 2

a₂ = 0.85 · 7.5 - 1

a₂ = 5.375 ft

n = 3

a₃ = 0.85 · 5.375 - 1

a₃ = 3.568 ft

The <em>maximum</em> height of the ball after its third bounce is equal to 3.568 feet.

To learn more on recursive formulas: brainly.com/question/8972906

#SPJ1

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