Answer:
200'
Explanation:
There's probably a formula for it, but you can work it out pretty easily with a little simple math (if all they want is a number):
It falls 100'.
It bounces up 33.3' feet, then falls that same distance: 66.6' on this trip.
It bounces up 11.1', then drops: 22.2' this trip
It bounces up 3.7': 7.4' this trip
It bounces up 1.23': 2.5' total
It bounces up 0.4': 0.8' total
It bounces up 0.14': 0.3' total
It bounces up 0.05: 0.1' total
Then it's pretty much done.
So add them up:
100 + 66.6 + 22.2 + 7.4 + 2.5 + 0.8 + 0.3 + 0.1 = 199.9'
Call it 200' (the last few little bounces supply the missing 0.1'.)
They may want an equation, but they should appreciate your (my) perseverance if you submit it this way.