For the spring$-$mass$-$damper system $4x^{}+160x^{}+1600x=0$ with initial conditions

$x(0)=0\mathrm{.}01m$ and $x^{}(0)=1\frac{m}{s}.$

Find at time $t=2s,$

$($a$)$ displacement response $x(t),$

$($b$)$ velocity response $x^{}(t),$

$($c$)$ acceleration response $x^{}(t),$