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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.     

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a
12 s
b
15.3 s
c
9 s
d
17 s

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detailed solution

Correct option is D

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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