Question 40590
The ball falls 160, bouces once, comes back up to half-way, so far
it's travelled 160 + 80 = 240.
Now it drops from 80, bounces for the 2nd time, and comes back up to half
of 80, or 40. So far it's travelled 240 + 80 + 40 = 360.
It drops from 40, bounces the 3rd time, comes back up to 20.
So far, it's travelled 360 + 40 + 20 = 420.
Now it drops from 20, bounces the 4th time, comes back up to 10
So far, it's travelled 420 + 20 + 10 = 450
Now it drops from 10 and hits the floor for the 5th time.
The total distance is 450 + 10 = 460 feet
What we just did was add up
160
80
80
40
40
20
20
10
10
-----
460