When a high-speed passenger train traveling at 161 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 = 676 m ahead (Figure). The locomotive is moving at 29.0 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 x(t) curves for the locomotive and highspeed train for the cases in which a collision is just avoided and is not quite avoided.

Transcribed Image Text:

High-speed train Locomotive