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Average Velocity
Question

A driver of an express train moving with a velocity v1 finds that a goods train is moving with velocity v2 in the same direction on the same track. He applies the brakes and produces a retardation a' the minimum time required to avoid collision is

Easy
Solution

Relative velocity of express train with respect to goods train
u=v1-v2
If the collision is to be avoided, the relative final velocity v should be zero. Let f is the time required. Then
v=uator 0=v1v2att=v1v2a

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