Car with and without Feedback Control. Consider the car shown below, which can be modeled as a mass-damper. (Linear damping is an approximation for the effects of drag and tire rolling resistance.) The transfer function for this plant is shown in the block diagram for part (a). x (position) f (force) m (mass) b (damping) (a) As shown in the simple block diagram below, the input to the system is force, F(s), and the output is position, X(s) (5 pts). F(s) force 1 ms+bs car Test the following inputs, where A is any constant, to see if any of them will be able to make the car move to and stay at a desired position: i. Impulse: F(s) = A ii. Step: F(S) = 4 X(s) position Will either of these inputs make the car move to and stay at a desired position? If so, which one(s)? Show why or why not by finding x(t) analytically for each of these inputs. Assume zero initial conditions.