A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height 15() = 9.375 feet, etc. (Assume g = 32ft/s and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the ntE time: hn = B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third and fourth times: first time: D = second time: D = third time: D = fourth time: D = 1 11 1 1

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the
height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of
15() = 9.375 feet, etc. (Assume g = 32ft/s and no air resistance.)
A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth
time:
hn =
B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the
floor for the first, second, third and fourth times:
first time: D =
second time: D =
third time: D =
fourth time: D =
1
11 1
Transcribed Image Text:A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 15() = 9.375 feet, etc. (Assume g = 32ft/s and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time: hn = B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third and fourth times: first time: D = second time: D = third time: D = fourth time: D = 1 11 1
time:
hn
B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the
floor for the first, second, third and fourth times:
first time: D =
second time: D =
third time: D =
fourth time: D =
C. Find an expression, in closed form, for the total vertical distance the ball has traveled when it hits
the floor for the nth time.
Dn =
Transcribed Image Text:time: hn B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third and fourth times: first time: D = second time: D = third time: D = fourth time: D = C. Find an expression, in closed form, for the total vertical distance the ball has traveled when it hits the floor for the nth time. Dn =
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