# The distance and uniform acceleration

**Classical Mechanics**Level 2

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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