A particle moving with an angular velocity of `200` rad s^(-1)` and start de accelerating at a rate of 2 rad s^(-2)`. Calculate the time in which it will come to rest.

Explanation

To solve the problem, we need to find the time it takes for a particle to come to rest when it is initially moving with an angular velocity of \(200 \, \text{rad/s}\) and is decelerating at a rate of \(2 \, \text{rad/s}^2\).

### Step-by-step Solution:

1. **Identify the given values:**
- Initial angular velocity (\(\omega_i\)) = \(200 \, \text{rad/s}\)
- Final angular velocity (\(\omega_f\)) = \(0 \, \text{rad/s}\) (since it comes to rest)
- Angular deceleration (\(\alpha\)) = \(-2 \, \text{rad/s}^2\) (negative because it is deceleration)
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