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Acceleration question

you are driving to the grocery store at 20 m/s. you are 110 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.70 s and that your car brakes with constant acceleration. what acceleration will bring you to rest right at the intersection?


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Ian
66 helpful answers


Before braking, you travel at 20 m per second for 0.7 seconds, making 14 m.
The remaining distance to the intersection is 110 - 14 = 96 m

Now use that equation of motion which includes
distance S, acceleration a and starting and end velocities, u and v.

v^2 - u^2 = 2aS

Final velocity v = 0
Start velocity u = 20
Distance S = 96

0 - (20^2) = 2 * a * 96
a = 25/12 ~ 2.0833 m/s^2

Hope that helps,

Regards - Ian

Posted 2009-09-15T16:18:31Z
Ian was invited by Yedda to answer this question.

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