A driver and car may be represented by the simplified model shown. The goal is to have the speed adjust to a step input with less than 10% overshoot and a settling time (with a 2% criterion) of 1 second. Select a proportional plus integral (PI) controller to yield these specifications. For the selected controller, determine the actual response (a) for Gp(s) = 1 and (b) with a prefilter Gp(s) that removes the zero from the closed-loop transfer function T(s).