$($a$)$ A step change of magnitude $5$ is introduced into the unity feedback control system. The second order control system having transfer function $Gp(s)=\frac{1}{1\mathrm{.}25s^2+2(s)+5},$ is being controlled by means of $P-$controller having the value of gain $K_c=10.$ Plot the response of the control system as a function of time and from the response sketch; determine response time and rise time.