Problem points$)$: The block diagram below represents a feedback control system:

$($a$)$ Determine the Transfer Function H$($s$)$

$($b$)$ Determine the values of $$ and $k$ so the step response of the system has a steady state value of $5$ and a maximum peak value of $5\mathrm{.}75$

$y(t_p)=5\mathrm{.}75,y()=5$

$($c$)$ Plot the step response of the system and show all the key parameters $($peak time, settling time, amplitude values$)$

$5$