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Two trains A and B are moving on same t...

Two trains A and B are moving on same track in opposite direction with velocity 25m/s and 15,m/s" respectively.When separation between them becomes 225m drivers of both the trains apply brakes producing uniform retardation in train A while retardation of train B increases linearly with time at the rate of 0.3m/s^(3).The minimum retardation of train A to avoid collision will be

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Two trains A and B are approaching each other on a straight track, the former with a uniform velocity of 25 m/s and other with 15m/s, when they are 225 m a part brakes are simultaneously applied to both of them. The deceleration given by the brakes to thetrain B increases linearly with time by 0.3 m//s^(2) every second, while the train A is given a uniform deceleration, (a) What must be the minimum deceleration of the train A so that the trains do not collide ? (b) What is the time taken by the trains to come to stop ?