Two trains one travelling at 54 kmph and the other at 72 kmph are headed towards one an other along a straight track. When they are `1/2` km apart, both drivers simultaneously see the other train and apply their brakes. If each train is decelerated at the rate of `1 ms^(-2)` , will there be collision ?

Explanation

To determine whether the two trains will collide, we need to calculate the distance each train travels before coming to a stop after the drivers apply the brakes.

### Step-by-Step Solution:

1. **Convert Speeds from km/h to m/s**:
- Train 1 speed: \( u_1 = 54 \text{ km/h} = 54 \times \frac{5}{18} = 15 \text{ m/s} \)
- Train 2 speed: \( u_2 = 72 \text{ km/h} = 72 \times \frac{5}{18} = 20 \text{ m/s} \)

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