A particle is projected in gravity with a speed `v_0`. Using W-E theorem, find the speed of the particle as the function of vertical distance y.

Explanation

To find the speed of a particle projected upwards in a gravitational field as a function of vertical distance \( y \) using the Work-Energy theorem, we can follow these steps:

### Step-by-Step Solution

1. **Identify Initial Conditions**:
- The particle is projected with an initial speed \( v_0 \) at ground level (let's say at height \( y = 0 \)).
- The particle moves upward against gravity.

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