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Lic2kill

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## Homework Statement

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?

## Homework Equations

Kinematic Equations?

## 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.