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Question

A passenger train is moving at 5ms-1 . An express train is travelling at 30ms-1, on the same track and rear side of the passenger train at some distance. The driver in express train applied brakes to avoid collision. If the retardation due to brakes is 4ms-2, the time in which the accident is avoided after the application of brakes is


A

4.25

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B

5.25

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C

6.25

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D

7.25

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Solution

The correct option is C

6.25


Step 1. Given Data:

Speed of passenger train, Up=5ms-1

Speed of express train, Ue=30ms-1

Retardation due to brakes, a=4ms-2

Step 2. The initial relative velocity of the express train with respect to the passenger train:

U=UeUpU=305U=25ms1

The final relative velocity of the express train with respect to the passenger train, V=0 ( Because express train comes to rest relative to the passenger train )

Step 3. From the first equation of motion:

V=Uat0=254t4t=25t=6.25s

Hence, the correct option is (C).


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