If the object$-$spring system is described by x $=(0\mathrm{.}305$ m$)$ cos $(1\mathrm{.}40$t$),$ find the following.

$($a$)$ the amplitude, the angular frequency, the frequency, and the period

A $=$ m$=$ rad$/$sf $=$ HzT $=$ s

$($b$)$ the maximum magnitudes of the velocity and the acceleration

vmax $=$ m$/$samax $=$ m$/$s$2$

$($c$)$ the position, velocity, and acceleration when t $=0\mathrm{.}250$ s

x $=$ mv $=$ m$/$sa $=$ m$/$s$2$