When a high-speed passenger train traveling atvP = 55 m/s rounds a bend, the engineer is shocked to see that a locomotive has improperly enteredonto the track from a siding and is a distance D =1000 m ahead (see figure). The locomotive is moving atvL = 9 m/s. The engineer of the passenger train immediately applies the brakes. Assume that anx axis extends in the direction of motion. What must be the constant acceleration along that axis if a collision is to bejust avoided?