Resistance to the motion of an automobile consists of road friction, which is almost independent of speed, and air drag, which is proportional to speed-squared. for a certain car with a weight of 12000 n, the total resistant force f is given by f = 300 + 1.8v2, with f in newtons and v in meters per second. calculate the power (in horsepower) required to accelerate the car at 0.96 m/s^2 when the speed is 82 km/h.