Answer Happy

A car of mass m is moving at a constant speed v on a flat surface. It is subject to a static friction force with coefficient w, and a drag force due to air of magnitude av?, where a is a constant and v is the speed of the car. In steady motion, the car engine provides a forward force that balances the combination of these two dissipative forces. Let W max be the amount of energy the fuel provides to the car before it runs out of gas. Find a) the maximum distance the car can travel. b) the maximum time the car can travel.