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Q. When a high speed passenger train traveling at 113 km/h 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 = 642m ahead. The locomotive is moving at 21.0 km/h. The engineer of the high speed train immediately applies the brakes. (a) What must be the magnitude of the resulting constant deceleration if a collision is to be just avoided? (b) Assume that the engineer is at x =0 when, at t = 0, he first spots the locomotive. Sketch the x(t) curves representing the locomotive and high speed train got the situations in which a collision is just avoided and is not quite avoided.

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