1. The problem statement, all variables and given/known data A Bouncy ball is dropped from a window, 28.7 meters above the ground. It bounces inelastically off the ground and bounces up again, but not as high as it stated out. If it looses 9 percent of its kinetic energy every time it hits the ground, how many times can it bounce, and still have a maximum height greater than half the original window height. 2. Relevant equations 1/2 mv^2 = mgh 3. The attempt at a solution Since I know it loses 9% of its kinetic energy, the potential will be lowered by 9% each time the ball bounces also. So I did 28.7 - (0.09 x 28.7) = 26.1 then 26.1 - (0.09 x 2.61) = 23.76 then 23.76 - (0.09 x 23.76) = 21.627 and so on, I keep repeating this until I get an answer below 28.7 / 2 = 14.35 meters. And after all that, I get the answer to be 7 bounces. Is there a faster way to do this problem?