Design the suspension of a car such that the maximum vertical acceleration felt by the driver is less than \(2 g\) at all speeds between \(70 \mathrm{~km} / \mathrm{h}\) and \(140 \mathrm{~km} / \mathrm{h}\) while traveling on a road whose surface varies sinusoidally as \(y(u)=0.5 \sin 2 u \mathrm{~m}\), where \(u\) is the horizontal distance in meters. The weight of the car, with the driver, is \(700 \mathrm{~kg}\) and the damping ratio of the suspension is to be 0.05. Use a single-degree-of-freedom model for the car.