You’re speeding at 85 km/h when you notice that you’re only 10 m behind the car in front of you, which is moving at the legal speed limit of 60 km/hr. You slam on your brakes, and your car negatively accelerates at 4.2 m/s2 . Assuming the other car continues at constant speed, will you collide? If so, at what relative speed? If not, what will be the distance between the cars at their closest approach?

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You’re speeding at 85 km/h when you notice that you’re only 10 m behind the car in front of you, which is moving at the legal speed limit of 60 km/hr. You slam on your brakes, and your car negatively accelerates at 4.2 m/s2 . Assuming the other car continues at constant speed, will you collide? If so, at what relative speed? If not, what will be the distance between the cars at their closest approach?
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