A car and a train move together along straight, parallel paths with the same constant cruising speed vo. At † = 0 the car driver notices a red light ahead and slows down with constant acceleration -ap. Just as the car comes to a full stop, the light immediately turns green, and the car then accelerates back to its original speed vo with constant acceleration a. During the same time interval, the train continues to travel at the constant speed v0. The train does not stop at the stoplight. How far behind the train is the car when the car reaches its original speed v0 again?

A car and a train move together along straight, parallel paths with the same constant cruising speed vo. At † = 0 the car driver notices a red light ahead and slows down with constant acceleration -ap. Just as the car comes to a full stop, the light immediately turns green, and the car then accelerates back to its original speed vo with constant acceleration a. During the same time interval, the train continues to travel at the constant speed v0. The train does not stop at the stoplight. How far behind the train is the car when the car reaches its original speed v0 again?

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