A ball is dropped from a height of 12 ft. The elasticity of this ball is such that it rebounds two-thirds of the distance it has fallen. (a) How high does the ball rebound on the fifth bounce? (b) Find a formula for how high the ball rebounds on the nth bounce. (c) Find the total distance the ball has traveled at the instant it hits the ground the fifth time.
A ball is dropped from a height of 12 ft. The elasticity of this ball is such that it rebounds two-thirds of the distance it has fallen. (a) How high does the ball rebound on the fifth bounce? (b) Find a formula for how high the ball rebounds on the nth bounce. (c) Find the total distance the ball has traveled at the instant it hits the ground the fifth time.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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A ball is dropped from a height of 12 ft. The elasticity of this ball is such that it rebounds two-thirds of the distance it has fallen.
(a) How high does the ball rebound on the fifth bounce?
(b) Find a formula for how high the ball rebounds on the nth bounce.
(c) Find the total distance the ball has traveled at the instant it hits the ground the fifth time.
(d) Find a formula for the total distance the ball has traveled at the instant it hits the ground the nth time.
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