Always follow the traffic rules!

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

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

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