You are driving toward a traffic signal when it turns

Chapter , Problem 40

(choose chapter or problem)

You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of \(v_{0}=55 \mathrm{km} / \mathrm{h}\); your best deceleration rate has the magnitude \(a=5.18 \mathrm{m} / \mathrm{s}^{2}\). Your best reaction time to begin braking is T = 0.75 s. 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

(a) 40 m and 2.8 s, and

(b) 32 m and 1.8 s? Give an answer of brake, continue, either (if either strategy works), or neither (if neither strategy works and the yellow duration is inappropriate).