Q.

A metro train starts from rest and in 5 s achieves 108 kmh-1. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 390 m, find total time of travelling.

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a

12 s

b

15.3 s

c

9 s

d

17 s

answer is D.

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Detailed Solution

Velocity time graph  is S1=12vt=12108×5185=75m      t1=5secS2 =390-75-45=270mt2=27030=9secs3=12×30×t3=45t3=45×230=3secTotal time = 9+5+3=17 sec
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A metro train starts from rest and in 5 s achieves 108 kmh-1. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 390 m, find total time of travelling.