SERIES: A ball is dropped from a height of 1 meter. The height of each subsequent bounce is p times the height of the previous bounce (where 0 < p < 1). (a) What is the total vertical distance D that the ball travels? (b) What happens to this total vertical distance as p 1 (c) The time it takes to complete one bounce of height h is kh where k > 0 is a constant. What is the total time taken for the ball to travel the distance you found in part (a)? Show all work.

A: D = (1 + p)/(1 p) (b) D (c) T = k[1/2+p/(1-p)]