The spring mass system which is initially at rest starts free vibration with an initial displacement of $x_0=$

$0\mathrm{.}12m$ and an initial speed of $v_0=0\mathrm{.}6\frac{m}{sec}.$ The mass is $2kg,$ and the spring constant is $k=288\frac{N}{m}.$

Calculate the position $x,$ and speed $v$ of the block at $t=1sec.(30$ Points$)$

$=\sqrt[\phantom{2}]{\frac{k}{m}},$

$x=\frac{v_0}{}sin(t)+x_{0}cos(t)$