tem has a transfer function of H(s) = 6 s 6 . What is the response of this system, y(t), to a unit step input, u(t)? If rise time is defined as the time for a response to go from 0.1 to 0.9 of its final value, then what is the rise time of this system? (B) Now consider a system of the form: H(s) = 9 s 9 . What is the response of this system, y(t), to a unit step input, u(t)? What is the rise time of this system? (C) Comparing the rise times of parts a) and b), is there a general rule related to the transfer function of the form: H(s) = a s a ? What is the rule? Please give an equation. 5. (30 points) We are going to design the dynamic responses of a second order system. The system has the general form of H(s) = b s2 as b , for some a and b. Depending on the values of a and b, we can get very different behavior from the system, including (A) undamped, (B) under damped, (C) critically damped, and (D) overdamped responses. If we let b = 16