A passenger train is traveling at 29 m/s when the engineer sees a freight train 360 m ahead traveling on the same track in the same direction. The freight train is moving at a speed of 6 m/s. If the reaction time of the engineer is 0.4 s, what must be the deceleration of the passenger train if a collision is to be avoided? If your answer is the maximum deceleration of the passenger train but the engineer's reaction time is 0.8 s, what is the relative speed of the two trains at the instant of collision and how far will the passenger train have traveled in the time between the sighting of the freight train and the collision?