The driver of a train moving at a speed ` v_(1)` sights another train at a disane ` d`, ahead of him moving in the same direction with a shower speed ` v_(2)`. He applies the brakes and gives a constant teradation ` a` to his train. Show that here will be no collision if ` d gt (v_(1) -v_(2))^(2) //2 a`.

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

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

A driver of train A, moving at a speed 30 ms^(-1), sights another train B going on the same track and in the same direction with speed 10 ms^(-1). He immediately applies brake that gives his train a constant retardation of 2 ms^(-2). What must be the minimum distance between trains in order to avoid a collision ?

An express train is moving with a velocity v_1 . Its driver finds another train is movig on the same track in the same direction with velocity v_2 . To escape collision, driver applies a retardation a on the train. The minimum time of escaping collision be

An express train is moving with a velocity v_1 . Its driver finds another train is movig on the same track in the same direction with velocity v_2 . To escape collision, driver applies a retardation a on the train. The minimum time of escaping collision be

An express train is moving with a velocity v_1 . Its driver finds another train is movig on the same track in the same direction with velocity v_2 . To escape collision, driver applies a retardation a on the train. The minimum time of escaping collision be