A train is travelling at a speed of 90 km h-1. Brakes are applied so as to produce a uniform acceleration of, -0.5 m s-2. Find how far the train will go before it is brought to rest.

Question

Philoid · Accepted Answer

Initial speed, u = 90 km/h²

=

= 25 m/s

Final speed, v = 0 (As the train stops)

Acceleration, a = -0.5 m/s²

And,

Distance travelled, s =?

Now, v² = u² + 2as

(0)² = (25)² + 2 × (-0.5) × s

0 = 625 – 1 × s

s = 625 m

Therefore, 625 metres is the distance travelled by the train before it is brought to rest.