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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.

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.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Initial speed of the train, u= 90 km/h = 25 m/s (1km/hr = 5/18 m/s)
Final speed of the train, v = 0 (finally the train comes to rest and its velocity becomes 0)
Acceleration = - 0.5 m s^-2
According to third equation of motion:
v^2= u^2+ 2as
(0)^2= (25)^2+ 2( - 0.5) s
Where, s is the distance covered by the train
S = 25^2
2(0.5)
= 625
The train will cover a distance of 625 m before coming to rest.

Thanks

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