A particle is dropped from some height. After falling through height h, the velocity of the particle becomes `v_(0)`. If it further falls through a distance `y(y lt lt h)`, find the approximate increase in velocity in terms of `v_(0),y` and `h`.

Explanation

To solve the problem step by step, we will analyze the motion of a particle that is dropped from a height and determine the increase in its velocity after falling through an additional small distance \( y \).

### Step 1: Understand the initial conditions
The particle is dropped from a height \( h \). When it has fallen through this height \( h \), it reaches a velocity \( v_0 \). The initial velocity \( u \) of the particle when it was dropped is \( 0 \).

**Hint**: Remember that when an object is dropped, its initial velocity is zero.

### Step 2: Use the kinematic equation to find \( v_0 \)
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