Question: A state trooper is stationed behind a billboard on a country road. A car passes the trooper doing 55 miles per hour, but the speed

A state trooper is stationed behind a billboard on a country road. A car passes the trooper doing 55 miles per hour, but the speed limit is only 40 mph here. Assuming the trooper has a superhuman reaction time and IMMEDIATELY peels out, he starts from rest and accelerates at 8.25 m/s2 until he catches up to the speeder. The speeder is resigned to his fate and doesn't alter his motion once the cop begins pursuit. How far down the road does the trooper catch up to the speeder? (There are 1608 meters in a mile)

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