QuestionFebruary 1, 2026

5. The driver of a train travelling at 40m/s applies the brakes as the train enters a station. The train slows down at a rate of 2m/s The platform is 400 m long. Will the train stop in time?

5. The driver of a train travelling at 40m/s applies the brakes as the train enters a station. The train slows down at a rate of 2m/s The platform is 400 m long. Will the train stop in time?
5. The driver of a train travelling at 40m/s applies the brakes as the train enters
a station. The train slows down at a rate of 2m/s The platform is 400 m long.
Will the train stop in time?

Solution
4.2(315 votes)

Answer

Yes, the train will stop in time. Explanation 1. Calculate stopping distance using kinematic equation Use v^2 = u^2 + 2as with v=0, u=40\,\text{m/s}, a=-2\,\text{m/s}^2. 2. Substitute values and solve for s 0 = (40)^2 + 2(-2)s \implies 1600 - 4s = 0 \implies s = 400\,\text{m}. 3. Compare stopping distance to platform length Stopping distance equals platform length.

Explanation

1. Calculate stopping distance using kinematic equation<br /> Use $v^2 = u^2 + 2as$ with $v=0$, $u=40\,\text{m/s}$, $a=-2\,\text{m/s}^2$.<br />2. Substitute values and solve for $s$<br /> $0 = (40)^2 + 2(-2)s \implies 1600 - 4s = 0 \implies s = 400\,\text{m}$.<br />3. Compare stopping distance to platform length<br /> Stopping distance equals platform length.
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