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 12 000 N, the total resistant force F is given by F = 300 + 1.8v2, with F in newtons and y in meters per second. Calculate the power (in horsepower) required to accelerate the car at 0.92 m/s2 when the speed is 80 km/h.
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