Why is the following situation impossible? A freight train is lumbering along at

Question

Why is the following situation impossible? A freight train is lumbering along at a constant speed of 16.0m/s. Behind the freight train on the same track is a passenger train travelling in the same direction at 40.om/s. when the front of the passenger train is 58.5m from the back of the freight train, the engineer on the passenger train recognizes the danger and hits the brakes of his train, causing the train to move with acceleration -3.00m/s^2. Because of the engineer's action, the trains do not collide.

Explanation / Answer

Inital Velocity = 410 m/sec To protect the Trains to Collide The Fional Velocity must be 16 m/sec v^2 - u^2 = 2as 16^2 - 40^2 = 2*-3*S S = 224 m Here The Distance is 28.5m So they Must Collide

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