WILL FAN AND MEDAL ANYONE WHO HAS A GOOD ANSWER
Ball drops 15ft, bounces back up drops 12ft, bounces back up drops 9.6ft and so on until it comes to rest. Each drop is eight-tenths the length of the previous drop, find total distance that the ball travels.

Thanks!

Question

WILL FAN AND MEDAL ANYONE WHO HAS A GOOD ANSWER 
 Ball drops 15ft, bounces back up drops 12ft, bounces back up drops 9.6ft and so on until it comes to rest. Each drop is eight-tenths the length of the previous drop, find total distance that the ball travels.  

Thanks!

anonymous · Answer

Here's a rough plot of the height of the ball at time $t$.
|dw:1413930219469:dw|