After striking a floor a certain ball rebounds `(4/5)^(t h)` of the height from which it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of `120m e t r e sdot`

Explanation

To find the total distance that the ball travels before coming to rest, we can break it down into steps.

### Step-by-Step Solution:

1. **Initial Drop:**
The ball is dropped from a height of 120 meters. Therefore, the distance traveled in the first drop is:
\[
d_1 = 120 \text{ meters}
...