$($a$)$ A step change of magnitude $4$ is introduced into a

system having the transfer function

y$($s$)/$x$($s$)$:$10/$s$2+1\mathrm{.}6$s$,+4$

$($b$)$ determine :

$($i$)$ Rise time.

$($ii$)$ Maximum value of y$($t$).$

$($iii$)$ Ultimate value of y$($t$).$

$($iv$)$ Percent overshoot.

$($v$)$ Period oscillation.