A particle is initially at rest. It starts moving with a constant acceleration, the speed of the particle in t seconds is 50m/s and after one second the speed becomes 75m/s. calculate the acceleration of the particle and distance covered in `(t+1)^("th")` second of its motion.

Explanation

To solve the problem step by step, we will break it down into two parts: calculating the acceleration of the particle and then finding the distance covered in the `(t+1)`th second of its motion.

### Step 1: Calculate the acceleration of the particle

1. **Understanding the given data**:
- Initial velocity (u) = 0 m/s (the particle is initially at rest)
- Velocity after time t (v₁) = 50 m/s
- Velocity after time (t + 1) seconds (v₂) = 75 m/s
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