A train starts from rest and accelerates uniformly at 100 m `"minute"^(-2)` for 10 minutes. Find the velocity acquired by the train. It then maintains a constant velocity for 20 minutes. The brakes are then applied and the train is uniformly retarded. It comes to rest in 5 minutes. Draw a velocity-time graph and use it to find :
(i) the retardation in the last 5 minutes,
(ii) total distance travelled, and
(iii) the average velocity of the train.

Explanation

To solve the problem step by step, we will break it down into parts as follows:

### Step 1: Calculate the final velocity after acceleration
The train starts from rest and accelerates uniformly at 100 m/min² for 10 minutes.

- **Initial velocity (u)** = 0 m/min (since it starts from rest)
- **Acceleration (a)** = 100 m/min²
- **Time (t)** = 10 minutes
...