
For a pass to be completed safely, car A must accelerate to a velocity greater than B and then travel at that velocity until it is beyond B. Assume both have an initial speed of 60mi/hr, the cars are 12 feet long and the maneuver is over when the back bumper of A is 40 feet past the front bumper of B and d is 3delta.deltadeltadelta ft. If Car A accelerates at 6ft/s2 and stops accelerating when its front bumper is even with B's back bumper, what is the pass speed and how far have A and B traveled from the beginning to the end of the maneuver.