1. The problem statement, all variables and given/known data A certain automobile can decelerate at |a1| = 1.6 m/s2. Traveling at a constant v1 = 29 m/s, this car comes up behind a car traveling at a constant v2 = 4 m/s. How close to the slower car can the driver of the faster car come before applying his brakes and still avoid a collision? 2. Relevant equations V(final)^2 - V(initial)^2 = 2a(X(final)-X(initial)) X = X(initial) + V[initial]*t + .5(a)(t^2) V[final] = V[initial] + at 3. The attempt at a solution First thing we need is to solve for the time needed to for the application of the braking system: V[final] = V[initial] + at 4 = 29 + (-1.6)(t) t = 15.625 X = X(initial) + V[initial]*t + .5(a)(t^2) x = 0 + (29)(15.625) + .5(-1.6)(15.625^2) x=257.8 So I decided the answer was 257.8 meters. This however is not correct. What am I doing wrong? Thanks in advance for all your help!