If body travels half of its path in the last second of its fall from rest, find the time and height of its fall.

Explanation

To solve the problem, we need to find the time and height of a body falling from rest, given that it travels half of its total distance in the last second of its fall.

### Step-by-Step Solution:

1. **Understanding the Problem:**
- The body falls from rest, so its initial velocity \( u = 0 \).
- Let the total height of the fall be \( H \).
- The body travels half of its total height \( \frac{H}{2} \) in the last second of its fall.
...