1. The problem statement, all variables and given/known data When a high-speed passenger train traveling at vP = 55 m/s rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 1000 m ahead). The locomotive is moving at vL = 12 m/s. The engineer of the passenger train immediately applies the brakes. Assume that an x axis extends in the direction of motion. What must be the constant acceleration along that axis if a collision is to be just avoided? 2. Relevant equations Kinematic Equations? 3. The attempt at a solution I found the time with respect to acceleration which is (-43/a) The distance the 12m/s train moves, d=12(-43/a) The distance the passenger train moves (55m/s). d=1000-516/a I'm having issues piecing this all together. Any help to clarify this would be greatly appreciated.