A balloon rises from rest on the ground with constant acceleration `g`/`8.` A stone is dropped from the balloon when the balloon has risen to a height of (H). Find the time taken by the stone to reach the ground.

Explanation

To solve the problem, we need to find the time taken by the stone to reach the ground after it is dropped from a balloon that is rising with a constant acceleration of \( \frac{g}{8} \). The balloon rises to a height \( H \) before the stone is dropped.

### Step-by-Step Solution:

1. **Determine the velocity of the balloon when it reaches height \( H \)**:
The balloon starts from rest and rises with a constant acceleration \( a = \frac{g}{8} \). We can use the second equation of motion:
\[
v^2 = u^2 + 2a s
...