USING MATLAB, the shock/suspension system of a car needs to be sized. Assume a car with a mass M = 1200 kg having a suspension system, where the overall spring constant k = 48000 N/m. The car hits a bump in the road, which is equivalent to a force of 9000N. Now, take eight different viscous shock absorbers c which ranges between 3000 N/(m/s) and 10000 N/(m/s). Plot the displacements as a function of time and discuss the results with your peers. Also, determine k and c such that the "Overshoot" is below 10% of its final value and the system has settled within 0.33 seconds.