A ball is dropped from a height of 4m. On each upward bounce the ball returns to 3/4 of its previous height. Find the total distance the ball travels in an upward direction before coming to rest. Please show work and explain. Solution Total Distance upward = 3 + (3/4)*3 + (3/4)^2*3 + ... a = 3 r = 3/4 So Sum = a/(1-r) = 3/(1/4) = 12 m So Total Distance upward = 12 m.