A car is moving in a circular path with a uniform speed v. Find the magnitude of change in its velocity when the car rotates through an angle `theta`.

Explanation

To find the magnitude of the change in velocity of a car moving in a circular path with uniform speed \( v \) after it rotates through an angle \( \theta \), we can follow these steps:

### Step 1: Understand the Initial and Final Velocity Vectors
- Initially, the car is moving in a direction tangent to the circular path. We can represent this initial velocity vector as:
\[ \mathbf{v}_{\text{initial}} = v \, \hat{j} \]
(assuming the car is moving in the positive \( y \)-direction).
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