For a second$-$order system with the transfer function of:

$G(s)=\frac{10}{4s^2+0\mathrm{.}1s+1}$

a$)$ Determine the damping factor and time constant.

b$)$ For a unit step change, plot the response $Y(t)$ and specify $($you do not need to

solve the differential equation$)$:

a$.$ Is the process underdamped, overdamped or critically damped?

b$.$ Overshoot

c$.$ Time to the first peak