A driver applies the brakes on seeing the red traffic signal 400 m ahead. At the time of applying brakes, the vehicle was moving with 15 ~m / s and retarding at 0.3 ~m / s ^2 . The distance of the vehicle from the traffic light one minute after application of brakes is

Step-by-step solution

After applying the brakes, the vehicle stops after time t , t = ( v - u a )= ( 0-15 -0.3 )=50 seconds i.e. vehicle stops before one minute. Displacement will only occur for 50 seconds. Displacement is given by s = ut + 1 2 at ^2 s =15 50+ 1 2 (-0.3) (50)^2 .( a is the retardation in vehicle) s =375 ~m Distance from traffic light =400-375=25 ~m