You are arguing over a cell phone while trailing an unmarkedpolice car by 26.0 m
ID: 1666220 • Letter: Y
Question
You are arguing over a cell phone while trailing an unmarkedpolice car by 26.0 m; both your car and the police car aretraveling at 110 km/h. Your argument diverts your attention fromthe police car for 2.0 s (long enough for you to look at the phoneand yell,“I won't do that!”). At the beginning of that2.0 s, the police officer begins braking suddenly at 6.00m/s2. (a) What is the separationbetween the two cars when your attention finally returns? Supposethat you take another 0.400 s to realize your danger and beginbraking. (b) If you too brake at 6.00m/s2, what is your speed (in km/h) when you hit thepolice car?
Explanation / Answer
You are arguing over a cell phone while trailing an unmarkedpolice car by 26.0 m; both your car and the police car aretraveling at 110 km/h. Your argument diverts your attention fromthe police car for 2.0 s (long enough for you to look at the phoneand yell,“I won't do that!”). At the beginning of that2.0 s, the police officer begins braking suddenly at 6.00m/s2. (a) What is the separationbetween the two cars when your attention finally returns?
110*5/18=30.55m/sec
distance traveled by the police car in 2 sec=30.55*2-1/2*6*4=61.11-12=49.11m+20=69.11m
distance traveled by the back side person=30.55*2=61.11m
separation=8m
similarly solve the second part of the problem
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