Find deacceleration An engineer in a locomotive sees a car stuck on the track at a railroad crossing in front of the train. When the engineer first sees the car, the locomotive is 360 m from the crossing and its speed is 16 m/s. If the engineer’s reaction time is 0.53 s, what should be the magnitude of the minimum deceleration to avoid an accident? Answer in units of m/s^2

The deceleration is    

Explanation:

From the question we are told that

  The distance of the car from the crossing is

   The speed is

    The reaction time of the engineer is  

Generally the distance covered during the reaction time is  

=>  

=>  

Generally distance of the car from the crossing after the  engineer reacts is

=>      

=>

Generally from kinematic equation

Here v is the final velocity of the car which is  0 m/s

So

=>