Design the suspension of an automobile such that the maximum vertical acceleration felt by the driver is less than 19.63 m/s2 at all speeds between 40 and 80 mph while traveling on a road whose surface varies sinusoidally, for example, the amplitude is 15.24 cm and the wavelength is 0.957 m. The weight of the automobileand driver is 680 kg and the damping ratio of the suspension is 0.05. Use a single degree of freedom model for the automobile.