Get answer: A certain ball has the property that each time it falls from a height onto a

Chapter 8, Problem 52

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A certain ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height , where . Suppose that the ball is dropped from an initial height of meters. (a) Assuming that the ball continues to bounce indenitely, nd the total distance that it travels. (Use the fact that the ball falls in .) (b) Calculate the total time that the ball travels. (c) Suppose that each time the ball strikes the surface with velocity it rebounds with velocity , where . How long will it take for the ball to come to rest?

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