$1.-$ Desing a mass$/$spring$/$damper system with a mass of kg a maximum overshoot of that reaches steady state in $q,$ seg with coefficients.

$q,\%.$ That is to stay, calculate the spring$/$stiffness and damping

$2.-$ Considering a unit step input, depict a detailed graph of the response $x(t)$ by hand. Make sure to include labels in the axis and point the important parameters, such as max peak, time to reach steady state, number of oscillations, period of oscillations, steady state value, number of peaks before reaching steady state.

$3.-$ Obtain an expression for the response as function of time, solve the differential equation to obtain $x(t)=$

$4.-$ Is this a free or forced response case? Why?

$5.-$ Obtain the transfer function.