Problem 7 The Train Problem A high-speed train rounds a corner traveling at speed 4v when it then sees a slower moving locomotive traveling at velocity v a distance d ahead. 4v. U (a) Sketch the position and velocity as a function of time for both the train and locomotive (on the same plot) if the train accelerates in such a way that it just just avoids a collision. (b) What must the acceleration of the train be such that it just avoids a collision? Write your answer in terms of v and d