SOLUTION: An automobile is travel1ing at 16 m/s. The driver perceives a need to stop and appIies the brakes producing a (negative) acceleration of 4.0 m/S^2. Take the reaction time of the dr
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Question 388744: An automobile is travel1ing at 16 m/s. The driver perceives a need to stop and appIies the brakes producing a (negative) acceleration of 4.0 m/S^2. Take the reaction time of the driver, the time to move from the go pedal to the stop pedal, as 1,0 s.
How far does it take for the car to stop?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Split this into two parts: the time that the car is going at a constant speed, and the time that the car is decelerating.
With the driver's reaction time 1 second, the car travels 16 m since it is going at 16 m/s.
After, the car decelerates with an acceleration of -4 m/s^2. Since v = at + v_0,
--> t = 4 seconds. Using the equation
we plug in values a = -4 m/s^2, t = 4 s, v_0 = 16 m/s, x_0 = 16 m (since the car already traveled 16 m)
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