A woman driving a car traveling 30 m/sec spots a board in the road. The reaction time of the woman is 0.20 seconds and the car can brake with a deceleration of 4.0 m/sec^2. How far does the car travel before the brakes are applies? What is the total stopping distance from the time she spotted the board? (hint: The total distance is the distance before she applies the brakes afterwards.)
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Expert's answer
2010-10-03T23:39:48-0400
Before she reacts, it takes 0.2 sec so the car goes x=v*t=30*0.2=6 m while she still hasn't reacted. Now after she brakes, the cars equation of motion is one with negative constant acceleration and the distance it goes is derived from
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