Two particles `A and B` move on a circle Initially, particles `A and B` are diagonally opposite to each other. Particle `A` moves with angular velocity `pi rad s^-1` and angular acceleration `pi//2 rad s^-2` and particle `B` moves with constant angular velocity `2 pi rad s^-2`. Find the time after which both the particlsd `A nad B` will collide.

Explanation

To find the time after which particles A and B will collide, we can follow these steps:

### Step 1: Understand the initial conditions
- Particle A starts with an angular velocity \( \omega_A = \pi \, \text{rad/s} \) and an angular acceleration \( \alpha_A = \frac{\pi}{2} \, \text{rad/s}^2 \).
- Particle B has a constant angular velocity \( \omega_B = 2\pi \, \text{rad/s} \) and zero angular acceleration \( \alpha_B = 0 \, \text{rad/s}^2 \).
- Initially, A and B are diagonally opposite on the circle, which means the angular displacement between them is \( \Delta \theta = \pi \, \text{rad} \).

### Step 2: Calculate the relative angular velocity
...