You are driving toward a traffic signal when it turns yellow. Your speed is the

Question

You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of v0 = 55 km/h; your best deceleration rate has the magnitude a = 4.90 m/s2. Your best reaction time to begin braking is T = 0.75 s.

(a) To avoid having the front of your car enter the intersection after the light turns red, should you brake to a stop or continue to move at 55 km/h if the distance to the intersection and the duration of the yellow light are 40 m and 2.8 s?




Brake to a stop.
Continue at 55 km/h.
Either strategy will work.
Neither, the duration of the yellow light is inappropriate. . .


(b) To avoid having the front of your car enter the intersection after the light turns red, should you brake to a stop or continue to move at 55 km/h if the distance to the intersection and the duration of the yellow light are 32 m and 1.8 s?



Brake to a stop.
Continue at 55 km/h.
Either strategy will work.
Neither, the duration of the yellow light is inappropriate. . .

Explanation / Answer

x = x0 + v0 t + .5at^2 ...dx/dt? dv/dt onverting the 55 km/h to the correct units of m/s. so 55 km/h = roughly about 15.277778 m/s.

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