# The distance and uniform acceleration

A car and a train move together along straight, parallel paths with the same constant cruising speed of $$25 \text{ m/s.}$$ Initially they are side-by-side. Suddenly, the car driver notices a red light ahead and slows down with constant acceleration of $$−5.0 \text{ m/s}^2$$ until it stops. The car remains stopped for $$15 \text{ seconds.}$$ The light turns green, and the car begins to speed up with a constant acceleration of $$+5.0 \text{ m/s}^2$$ until it reaches its original speed of $$25 \text{ m/s.}$$ During the same time interval, the train continues to travel at the constant speed $$25 \text{ m/s.}$$ How far behind the train is the car after it has reached its original speed again?

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