Question #120170

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.

uniform acceleration of −0.5 m s −2 . Find how far the train will go before it is

brought to rest.

Expert's answer

The initial speed of train is "v_0 = 90km\/h = 25 m\/s" and the acceleration is "-0.5m\/s^2". According to the kinematic equation:

where "t" is the time required to stop the train. Thus:

The distance, traveled by train by this time is:

**Answer. **d = 625 m.

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