4) A police officer hidden at an intersection observes a car that ignores a stop

Question

4) A police officer hidden at an intersection observes a car that ignores a stop sign, crosses the intersection, and continues on at a constant speed. The police officer takes off in pursuit as soon as it passed the stop sign, accelerating at 6.2m/s/s until her speed is 80m/s, and continues at this speed until she catches the car. (so there are two parts of the cop’s motion which add up)

The police officer catches the car at a total distance of 1.4km from the intersection.

How fast was the car traveling? How long does it take to catch the car?

Explanation / Answer

v=131m/s

time=21s

s=vt=131x21=2751m

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