a$)$ Graph the displacement versus time for the first $3$ seconds for the system governed by the expression x $+6\mathrm{.}5$x$+6$x $=0$ for the initial conditions xo $=0\mathrm{.}05$ m$,$ vo $=0\mathrm{.}06$ m$/$s$.$

b$)$ Is the system overdamped, underdamped or critically damped.

c$)$ Approximately how much time is required for the response to be less that $0\mathrm{.}01-$m$?$