Intro Physics Question: Avoiding Collision on NY State Thruway at 106.8 km/hr

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sabresfan2000
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You are driving along the New York State Thruway in
a line of cars all traveling at a constant speed of 106.8 km/hr.
The car in front of you applies its brakes for maximum accelera-
tion. You then apply your brakes to achieve the same maximum
acceleration after only a 1 s delay due to reaction time. What
distance behind the car in front of you must you be to avoid a
collision?
 
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When I want to make MY car accelerate, I hit the gas. I find it very weird that you hit the brakes to accelerate.