
Car B is traveling 44ft/s (30mi/h) when the driver sees a pedestrian and brakes at -10ft/s2 until reaching a velocity of 22ft/s and then maintains that velocity. Car A is traveling at 66ft/s (45mi/hr) when the driver sees B braking. Car A brakes harder (-12.deltadeltadeltadelta ft/s2) and continues braking until there is no longer any danger of collision. What is the minimum distance d for A to be following B to avoid collision?