Two particles begin to fall freely from the same height but the second falls `t_(0)` second after the first. Find the time (after the dropping of first) when separation between the particles is `h_(0)`.

Explanation

To solve the problem of two particles falling freely from the same height, where the second particle is dropped \( t_0 \) seconds after the first, we need to determine the time \( t \) (after the dropping of the first particle) when the separation between the two particles is \( h_0 \).

### Step-by-Step Solution:

1. **Understanding the Motion**:
- Both particles are in free fall, which means they are subject to gravitational acceleration \( g \).
- The first particle is dropped at \( t = 0 \), and the second particle is dropped at \( t = t_0 \).

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