math
posted by laly on .
a ball rebounds one half of the height from which it was dropped. The ball is dropped from a height of 160 feet and keeps bouncing. what is the total vertical distance the ball will travel from the moment it is droppedto the moment it hits the floor for the fifth time?

1st bounce = 160 + 80
2nd bounce = 80 + 40
3rd bounce = 40 + 20
4th bounce = 20 + 10
5th (hit floor) = 10
Add these up to get your answer. 
59

460

You toss a polybutadiene rubber ball 40 feet straight up from ground level. Each time it bounces, it rebounds 2/3 of the distance from which it fell. It continues bouncing indefinitely. How far does it travel before it comes to rest?