3. An automobile of mass 1200 Kg is modeled as shown in this figure, with a suspension stiffhess of 400 kN/m and shock-absorber damping coefficient of 12 kN-s/m. The vehicle is traveling at a speed ofv- 80 km/h and hits a step height change of a-0.04 m on the road suface. If the step is 160 m away at time t-0, find the vehicle's plot the results using MATLAB. x history and 71 Note: the base will see a step excitation: y()-0.04 u(t-to). This will result in a step force ky(f) because of the spring, AND an impulse force c y(t) because of the shock-absorber.The total response will be a superposition of the responses to each of these two forcing a=0.04 m