A person driving her car at 51 km/h approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 30 m away from the near side of the intersection (Fig. 2-29). The intersection is 15 m wide. Her car's maximum deceleration is -6.0 m/s2, whereas it can accelerate from 51 km/h to 70 km/h in 5.7 s. Ignore the length of her car and her reaction time.
If she hits the brakes, how far will she travel before stopping (in meters)?
I don't know. As far as I can tell, I have two unknowns here.
The Attempt at a Solution
Lost here. As far as I can tell, all I know is that V0 = 51km/h (or 14.2m/s) and a = -6.0m/s2. Any help is appreciated, thanks in advance.