Posted by **Sat** on Saturday, September 14, 2013 at 10:43am.

A motorist traveling with constant speed of vc = 16.0 m/s passes a school-crossing corner, where the speed limit is 10 m/s. Just as the motorist passes, a police officer on a motorcycle stopped at the corner starts off in pursuit. The officer accelerates from rest at am = 2.67 m/s2 until reaching a speed of 26.7 m/s. The officer then slows down at a constant rate until coming alongside the car at x = 240.0 m.

Consider a coordinate system with origin at the school-crossing corner, x=0, and the +x-axis in the direction of the car's motion.

(a) How long does it take for the motorcycle to catch up with the car (in s)?

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(b) How long does it take for the motorcycle to speed up to 26.7 m/s? (Express your answer in s.)

unanswered

(c) How far (in m) is the motorcycle from the corner when switching from speeding up to slowing down?

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(d) How far (in m) is the motorcycle from the car when switching from speeding up to slowing down?

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(e) What is the acceleration (in m/s2) of the motorcycle when slowing down? (pay attention to the sign)

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