consider the closed loop control system with P$-$controller as shown. The plant transfer function is spressed as

$G(s)=\frac{1}{s(s+1)}$

For that $K=4$; determine:

$($a$)$ the damping ratio $$ and natural frequency ${}_n.$

$($b$)$ the settling time and percentage overshoot of the response.

$(e)$ the response $y(t)$ for unit impulse input