G(s)=36s2+10s+120 a. What kind of damping is prevalent here? Why? ( 5 marks) b. What is the time constant and damping coefficient of the 2nd order process shown above? ( 5 marks) c. What are the individual time constants of the first order processes constituting the second-order process given above? (10 marks) d. For a step change of magnitude 2 , find the output response as a function of time. (10 marks) e. What is the time required for the output to settle at 95% of maximum output value? Find this time by substituting t in terms of at ,5,10 and 15. By doing this, find which time is the closest to the answer among the 4 values you substitute. (10 marks) f. For a ramp input of u=at, by what time does the output lag this input? Calculate this after a long time when the exponential terms go to 0 and only the linear terms remain. (10 marks)