Problem on passing automobile


A police officer in a patrol car parked in a 70 km/h speed zone views a passing automobile traveling at a slow, constant speed. Believing that the driver of automobile may be intoxicated, the officer begins his car, accelerates uniformly to 90 km/h in 8s and, maintaining a constant velocity of 90 km/h, surpass the motorist 42 s after the automobile passed him. Knowing that 18 s elapsed before the officer start pursuing the motorist, find out (i) the distance the officer traveled before overtaking the motorist (ii) the speed of motorist.

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Physics: Problem on passing automobile
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