Assume that the disspative forces due to rolling resistance and aerodynamic drag acting on an automobile are given by the equation F = 300 + 2v2, with F in Newtons and v in m/s. Find the power required to accelerate the vehicle at a rate of 1 m/s2 if it is traveling at a rate of 80 km/h a.) on a flat surface b.) up a 15% slope.