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Two trains A and B each …

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Two trains A and B each of length 700 m ,are moving opposite directions through adjacent tracks, with speed 70kmph and 110kmph respectively. What is the time of just crossing observed by :- a) Guard (1) A and (2) B B) A person on the ground.
  • 1 answers

Sia ? 3 years, 7 months ago

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:
sII = ut + (1/2)at2
= 20 X 50 + (1/2)  1  (50)2 = 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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