A ball is dropped from a height of 11 feet and bounces. Suppose that each bounce is 7/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 11() = 9.625 feet, etc. (Assume g = 32ft/s 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: h, = 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. Dn =