Two particles A and B start moving simultaneously along the line joining them in the same direction with acceleration of `1 m//s^2 and 2 m//s^2` and speeds `3 m//s and 1 m//s` respectively. Initially, A is 10 m behind B. What is the minimum distance between them?

Explanation

To solve the problem, we need to find the minimum distance between two particles A and B moving in the same direction with given initial speeds and accelerations. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the initial conditions
- Particle A:
- Initial speed, \( u_A = 3 \, \text{m/s} \)
- Acceleration, \( a_A = 1 \, \text{m/s}^2 \)

- Particle B:
...