Hmm i haven't done these kinds of questions for awhile, so this may be wrong.
Vpolice * t + Apolice * t^2 = Vcar * t + Vcar * 0.8
Put it into the form of a quadratic, then solve for x, and it should be the positive number I think.
Given: Vpolice = 19.0 m/s, Vcar = 42.0 m/s , Acc.police = 5.00m/s, t = unknownA police car is traveling at a velocity of 19.0 m/s due north, when a car zooms by at a constant velocity of 42.0 m/s due north. After a reaction time of 0.800 s the policeman begins to pursue the speeder with an acceleration of 5.00 m/s2. Including the reaction time, how long does it take for the police car to catch up with the speeder?
I need help setting up this problem.