You are driving a car at the 25-mi/h speed limit when you observe the light at t

Question

You are driving a car at the 25-mi/h speed limit when you observe the light at the intersection 66 m in front of you turn yellow. You know that at that particular intersection the light remains yellow for exactly 4.0 s before turning red.  After you think for 1.0 s, you then accelerate the car at a constant rate.  You somehow manage to pass your 4.1 m car completely through the 15.0 m wide intersection just as the light turns red, thus narrowly avoiding a ticket for running a red light.  Immediately after passing through the intersection you take your foot off the accelerator, relieved. However, down the road you are pulled over for speeding.  You assume you were ticketed for the speed of your car as it exited the intersection.  Determine this speed and decide whether you should fight this ticket in court.

How fast were you going as you exited the intersection?
1      mi/h

Should you fight the ticket? Yes No Yes No

Explanation / Answer

assuming "you" to be the front bumper of your car. assuming (66 m) to be the distance from the front bumper to the near edge of the intersection, and not the distance to the traffic light which is usually hoisted above the far edge so you can see it.

equation for distance traveled with constant accel:
> d = (1/2)a

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