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/s² 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: h₂= 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. 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. D₁ = 1
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/s² 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: h₂= 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. 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. D₁ = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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(g) = 9.375 feet, etc. (Assume g=32ft/s² 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:
h₂ =
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.
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.
D₁
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