The flabbergasted engineer should do something quickly...

When a high-speed passenger train traveling at \(161 \text{ km/h}\) 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 \(D = 676 \text{ m}\) ahead. The locomotive is moving at \(29.0 \text{ km/h}\). The engineer of the high-speed train immediately applies the brakes. What must be the magnitude of the resulting constant deceleration (in \(\text{m/s}^{2}\)) if a collision is to be just avoided?


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