When a second order system is subjected to a unit step input, the values of damping coefficient $$ is equal to $0\mathrm{.}75$ and natural frequency of oscillation ${}_n$ is equal to $12ra\frac{d}{sec}.$ Determine i$)$ The transfer function of the system ii$)$ The poles of the transfer function iii$)$ Peak time iv$)$ peak overshoot. v$)$ The damped frequency of oscillation ${}_d$