A certain ball has the property that each time it falls from a height h onto a hard, level surface, it rebounds to a height rh, where 0

Question

A certain ball has the property that each time it falls from a height h onto a hard, level surface, it rebounds to a height rh, where 0 < r < 1. Suppose that the ball is dropped from an initial height of H meters.

Assuming that the ball continues to bounce indefinitely, find the total distance that it travels. (Use the fact that the ball falls 0.5gt^2 meters in t seconds).

anonymous · Answer

I'm a bit uncertain on how they want me to use that fact, since what I did was simply expressing the total distance as a series
$$\sum_{n=0}^{\infty}(H + rH)r^n$$
I have no clue how they want me to use 0.5gt^2 to express the distance

anonymous · Answer

@Meepi i really wish i could help you,you help me a lot :(

anonymous · Answer

I'm starting to think that it's a typo and belongs to the second question which is finding the total time the ball travels

anonymous · Answer

Here's a rough sketch of the situation:
|dw:1361222084990:dw|