AP Physics

A motorcycle officer hidden at an intersection observes a car driven by an oblivious driver who ignores a stop sign and continues through the intersection at constant speed. The police officer takes off in pursuit 1.56 s after the car has passed the stop sign. She accelerates at 3.6 m/s2 until her speed is 115 km/h, and then continues at this speed until she catches the car. At that instant, the car is 1.0 km from the intesection.
(a) How long did it take for the officer to catch up to the car? (in seconds)
(b) How fast was the car traveling? (in mi/h)

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