At a distance L=400m from the traffic lights the brakes are applied to a locomotive moving at a velocity v=54km/hr. Determine the position of locomotive relative to the traffic lights 1 minute after the application of the brakes if its acceleration is -0.3m/s2.
Initial velocity u = 54 km/h = 15 m/s
Let Final velocity v = 0
Acceleration a = -0.3 m/s2
Time taken to stop = t
Using
=>
=> t = 50 sec
It means it has been stopped before 1 minutes.
So distance covered in 1 minute
=>
=> s = 375 m
Position of locomotive relative to the traffic lights= 400-375 = 25 m