Problem $4$

a$)$ For each of the second$-$order systems that follow:

a$.$ Find the locations of the poles and zeros and plot them on the s$-$plane.

b$.$ Find $$ and ${}_n.$

c$.$ State the nature of each response $($overdamped$,$ underdamped, undamped or critically damped$).$

$G(S)=\frac{225}{s^2+30s+225}$

$G(S)=\frac{s+9}{s^2+9}$