Always follow the traffic rules!

At a distance of 500 m500\text{ m} from the traffic light, brakes are applied to an automobile moving with a velocity of 20 ms120\text{ ms}^{-1}.

Find the position (in meters) of the automobile with respect to traffic light 50 seconds after applying the brakes, if its acceleration is 0.5 ms2-0.5\text{ ms}^{-2} before it comes to rest.

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