A motorcycle is speeding on a straight, level highway at constant speed. At t = 0, the

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A motorcycle is speeding on a straight, level highway at constant speed. At t = 0, the motorcycle passes a police car that is initially at rest. The officer gives chase, but the motorcyclist doesn’t notice and keeps moving at constant speed. The graph below shows vx(t) for both. 

(a) When are the motorcycle and police car moving at the same speed? 

(b) At t = 16 s, has the police car caught up with the speeder? Explain. 

(c) What is the velocity of the motorcycle with respect to the police car at t = 5 s and t = 10 s?


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