A ball is dropped from a height of 6 m. It bounces, falls back, and bounces...

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A ball is dropped from a height of 6 m. It bounces, falls back, and bounces again. Each bounce reaches 5/8 the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of h : 6() = 3.75 m, etc. = A. Find an expression for the height, in meters, to which the ball rises after it hits the floor for the nth time: hn = B. Find an expression for the total vertical distance the ball has traveled, in meters, when it hits the floor for the first, second, third and fourth times: first time: D1 = second time: D2 third time: D3 = fourth time: D4 = = C. Find formula involving n that gives the total vertical distance the ball has traveled when it hits the floor for the nth time. Dn A ball is dropped from a height of 6 m. It bounces, falls back, and bounces again. Each bounce reaches 5/8 the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of h : 6() = 3.75 m, etc. = A. Find an expression for the height, in meters, to which the ball rises after it hits the floor for the nth time: hn = B. Find an expression for the total vertical distance the ball has traveled, in meters, when it hits the floor for the first, second, third and fourth times: first time: D1 = second time: D2 third time: D3 = fourth time: D4 = = C. Find formula involving n that gives the total vertical distance the ball has traveled when it hits the floor for the nth time. Dn