Design an automotive suspension such that the vertical acceleration felt by the driver is less than 2g for all speeds between 40 and 80 mph. Assume the road surface has an amplitude of 0.5 feet and wavelength equal to 3.14 ft. Model the vehicle as a single degree of freedom (base excitation) system with a vehicle/driver weight of 1500 lb and a damping ratio of 0.05. Use a Matlab script to: Select a stiffness value that meeting the acceleration requirement. Calculate the displacement transmissibility for all speeds between 40 and 80 mph. Use the displacement transmissibility to find the acceleration for all speeds. Plot the magnitude of the acceleration that the driver feels for all speeds between 40 and 80 mph.