A particle is moving with constant speed v along x - axis in positive direction. Find the angular velocity of the particle about the point (0, b), when position of the particle is (a, 0).

Explanation

To find the angular velocity of a particle moving with constant speed \( v \) along the x-axis about the point \( (0, b) \) when the particle is at the position \( (a, 0) \), we can follow these steps:

### Step 1: Identify the Position and Velocity
The particle is moving along the x-axis at position \( (a, 0) \) with a constant speed \( v \). The point about which we need to find the angular velocity is \( (0, b) \).

### Step 2: Calculate the Distance \( r \)
To find the angular velocity, we first need to calculate the distance \( r \) between the point \( (0, b) \) and the particle's position \( (a, 0) \). This can be calculated using the distance formula:
\[
...