On a straight stretch of road of length L, there is a stop sign at either end at which you must stop, although there is no speed limit between the signs. We further assume the air resistance is mu v when your travel speed is v during the entire stretch. Your car's natural maximum acceleration force is ma where m is the car's mass and its maximum brake force is mb. The values of m, a, b, and L are given constants. Design a travel scheme to minimize the total travel time in this stretch.