You are driving to the grocery store at 12.2 m/s. You are 193.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.790 s and that your car brakes with constant acceleration. How far are you from the intersection when you begin to apply the brakes?

Question

You are driving to the grocery store at 12.2 m/s. You are 193.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.790 s and that your car brakes with constant acceleration. How far are you from the intersection when you begin to apply the brakes?

I got a correct answer of 1.83e+02 m

But this is what I am stuck on (part b)

What acceleration will bring you to rest as you just reach the intersection?

Answer 1

you know the distance.

Vf^2=Vi^2 + 2 * acceleration*distance.

be certain to use the distance you are from the intersection.