You\'re driving along a rural highway in a light rain at 62 mph (28 m/s). Just a

Question

You're driving along a rural highway in a light rain at 62 mph (28 m/s). Just after rounding a bend, you see a 30-mph (13 m/s) speed zone ahead, with a police car parked just beyond the sign. You quickly estimate that the sign is about 100 m from you (about the length of a football field), and you know that the maximum magnitude of the car's acceleration under wet conditions is 3.6 m/s^2. Will you be able to brake to the speed limit before you reach the speed zone?

Explanation / Answer

13 = 28-3.6t =>t = 4.166666667sec S = 28t+0.5at^2 = 28*4.166666667-0.5*3.6*(4.166666667^2) = 85.41666667m < 100m Yes you will be able to brake to the speed limit before you reach the speed zone.

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