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  4. The driver of a train moving at 72 km h- 1 sights another train moving at 4 m s- 1 on the same track and in the same direction. He instantly applies brakes to produce a retardation of 1 m s- 2 . The minimum distance between the trains so that no collision occurs is

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Q. The driver of a train moving at $72 \,km \,h^{- 1}$ sights another train moving at $4 \,m \, s^{- 1}$ on the same track and in the same direction. He instantly applies brakes to produce a retardation of $1 m \, s^{- 2}$ . The minimum distance between the trains so that no collision occurs is

NTA AbhyasNTA Abhyas 2022

Solution:

Relative initial velocity $=72\times \frac{5}{18}-4=16 \, m \, s^{- 1}$
Now, $0^{2}-16\times 16=2\left(- 1\right)S$
Or $S=128 \, m$