The driver of a train travelling at 40ms-1 applies the brakes as a train enters the station. The train slows down at a rate of 2ms2 . Calculate the distance travelled?
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Question
The driver of a train traveling at 40ms −1
applies the brakes as the train enters a station. The train slows down at a rate of 2ms −2
The platform is 400m long. Will the train stop in time?
Solution
Initial speed =u=40ms −1
Acceleration =a=−2ms −2
Final speed =v=0
Now, s= Distance train travels before stopping
Now, we know from the equations of motion that
v 2 =u 2+2as
0=40 2 +2×(−2)×s
4s=1600⇒s=400m
So, the train covers 400m before stopping
Also, the length of platform =400m
So, the train stops in time
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