$($a$)$ Figure $5$ shows a unit step response of a second order system. From the plot, determine the percent overshoot $(\backslash \%$OS$),$ peak time $\backslash (\backslash$left$($T$\_\{$p$\}\backslash$right$)\backslash )$ and settling time $\backslash (\backslash$left$($T$\_\{$s$\}\backslash$right$)\backslash ).$ Hence, write the general second order transfer function of the system.

Figure $5$: A unit step response of a second order system