two trains Aand B of lengh 400m each are moving on two parallel tracks at speed of 72 km/h and 54km/h respectively in opposite directions in what time a) they will cross each other b) they will overtake
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For train A:
Initial velocity, u = 72 km/h = 20 m/s
Time, t = 50 s
Acceleration, aI = 0 (Since it is moving with a uniform velocity)
From second equation of motion, distance (sI)covered by train A can be obtained as:
s = ut + (1/2)at2= 20× 50 + 0 = 1000 m
For train B:
Initial velocity, u = 72 km/h = 20 m/s
Acceleration, a = 1 m/s2
Time, t = 50 s
From second equation of motion, distance (sII) covered by train A can be obtained as:
s II = ut + (1/2)at
2= 20 X 50 + (1/2) 1 (50) = 2250 m
Hence, the original distance between the driver of train A and the guard of train B is 2250 - 1000 = 1250m.
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