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A Ball Is Dropped from a Height of 10 Feet

Question 9

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A ball is dropped from a height of 10 feet and bounces. Each bounce is 2/3 the height of the bounce before. Find an expression for the height to which the ball rises after it hits the floor for the nth time, and use it to find the total vertical distance the ball has traveled when it hits the floor for the 4th time. Round to 2 decimal places.

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