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Q.

A train is travelling at a speed of 90 km/hr. Brakes are applied, to produce a uniform acceleration of -0.5 m/s². The distance travelled by train before coming to rest is ____ m.


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Detailed Solution

A train is travelling at a speed of 90 km/hr. Brakes are applied, to produce a uniform acceleration of -0.5 m/s². The distance travelled by train before coming to rest is 625 m.
Given,
The initial speed u=90×518
                                =25 m/s
Acceleration a=-0.5 m/s² Final velocity v=0 m/s
From the third equation of motion,
   v²=u²+2as
⇒0=25²+2×(-0.5)×s
⇒s=625 m
The distance travelled by train before stopping is 625 m.
 
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