Consider a police car catching you from behind to pull you over for speeding. Yo

Question

Consider a police car catching you from behind to pull you over for speeding. You are driving at a constant velocity of 35.5 m/s. When it is 85 m behind you and moving with a velocity of 44.0 m/s, the police car starts to slow down. The police need to have the same velocity as you when they catch you. What acceleration must the police car have so that its velocity matches yours when it catches up to you? Give your answer in m/s2, but do not include the units in your answer. Be careful with the sign of your answer. Signs matter.

Explanation / Answer

do it in a relative frame

dV = 9 m/s

the police car is advancing toward you at 9 m/s and is 85 m away .

v^2 = u^2+2as

v =0

a = -(9)^2/2*85

a = -0.476

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