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Car and Train Race: Speed and Acceleration

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A 108 m long train starts from rest (at t = 0) and accelerates uniformly. At the same time (at t = 0), a car moving with constant speed in the same direction reaches the back end of the train. At t = 12 s the car reaches the front of the train. However, the train continues to speed up and pulls ahead of the car. At t = 32 s, the car is left behind the train. Determine,
a. the car's speed
b. the train's acceleration.

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Solution Summary

The solution determines speed and acceleration.

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