Consider an automobile traveling over a rough road at a speed of v km/hr. The suspension system has a spring constant of 40 kN/m and a damping ratio of g = 0.1. The road sur- face varies sinusoidally with an amplitude of Y = 0.05 m and a wavelength of 6 m. Write a MATLAB program to find the displacement amplitude of the automobile for the following conditions: (a) mass of the automobile = 600 kg (empty), 1000 kg (loaded), (b) velocity of the automobile (v) = 10 km/h, 50 km/h, 100 km/h.