(f) Using Matlab, plot y(t) (i.e., the position of the ball vs. time) for the open loop nonlinear system (4.1). Assume that the initial position of the ball is in the vicinity of the equilibrium point and the initial velocity is 0. (g) Using Matlab, plot y(t) in the linearized closed loop system with the controller C(s) designed in (e). Assume any initial conditions you wish. Comment on the differences between these two trajectories