Bouncing Ball Problem Suppose that you drop a superball from a window 20 meters above the ground. The ball bounces to 90% of its previous altitude with each bounce . 1 2 3 a How far does the ball travel , up and down , between the first and the second bounce ? b. Show that the numbers of meters the ball travels up and down between bounces are terms of a geometric sequence . c Find the number of meters the ball travels up and down between the sixth and seventh bounce . d. Find the total number of meters the ball travels between the first bounce and the seventh bounce . If the ball continues to bounce in this manner until it comes to rest , how far will it have traveled , up and down , from the time it was dropped from the window ?