1. The problem statement, all variables and given/known data A driver of a car suddenly sees the lights of a barrier 40m ahead. It takes the driver 0.75s before he applies the brakes, and the average acceleration during braking is -10.0m/s^2 What is the maximum speed at which the car could be moving and not hit the barrier 40.0m ahead? 2. Relevant equations Vfinal^2 = Vinitial^2 + 2aΔx 3. The attempt at a solution I attempted to apply the following equation above, but of course due to braking delay of 0.75s the delta x would be different. I have no idea how to apply the two together so I can truly figure out the delta x between the time of braking to figure out what the initial velocity could be given the acceleration to reach a final velocity of 0. I know somehow that 40m - Vinitial(0.75s) would be the delta x to plug into the above equation.