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.

Afisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. it takes a time of 2.20 s for the boat to travel from its highest point to its lowest, a total distance of 0.670 m . the fisherman sees that the wave crests are spaced a horizontal distance of 5.80 m apart. (a) how much is the wavelength? (b) find the period of the wave. (c) how fast are the waves traveling? (d) what is the amplitude a of each wave?