A particle is moving with constant speed v along the line y = a in positive x -direction. Find magnitude of its angular velocity about orgine when its position makes an angle `theta` with x-axis.

Explanation

To solve the problem of finding the magnitude of the angular velocity of a particle moving along the line \( y = a \) at a constant speed \( v \) when its position makes an angle \( \theta \) with the x-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Position of the Particle**:
The particle is moving along the line \( y = a \). At a certain instant, it makes an angle \( \theta \) with the x-axis. The coordinates of the particle can be expressed as \( (x, a) \).

2. **Determine the Radius Vector**:
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