1.

The driver of a train A moving at a speed of 30 mssights another train B moving on the same trackat a speed of 10 ms' in the same direction. Heimmediately applies brakes and achieves a uniformretardation of 2 ms2. To avoid collision, what mustbe the minimum distance between the trains?(a) 80m (b) 100m (c) 120m (d) 140 m2

Answer»

The relative speed between the two trains is :

30 - 10 = 20m/s

This is the initial relative speed.

When brakes are applied the train slows down.

Given the acceleration = 2 m/s²

u = 20 m/s

With time the train comes to a sudden stop making the velocity 0.

V² = U² - 2as

0 = 400 - 4s

400 = 4s

S = 100m



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