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: h₁ = 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. D₁ =

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