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Question

# The driver of a train traveling at 40 msâˆ’1 applies the brakes as the train enters a station. The train slows down at a rate of 2 msâˆ’2. The distance traveled by train before stopping is

A
200 m
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B
300 m
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C
400 m
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D
500 m
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Solution

## The correct option is C 400 mGiven, the initial speed u=40 ms−1, acceleration a=−2 ms−2 (Retardation as it is negative), final velocity v=0 and distance traveled by train before stopping is s Using equation of motion, v2=u2+2as ⇒02=402+2×−2×s On solving s=400 m

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