The position of a particle is given by the expression $x=5\mathrm{.}00cos(7\mathrm{.}00t+2\frac{}{5}),$ where $x$ is in meters and $t$ is in seconds.

$($a$)$ Determine the frequency.

$($b$)$ Determine period of the motion.

$($c$)$ Determine the amplitude of the motion.

$($d$)$ Determine the phase constant.

$($e$)$ Determine the position of the particle at $t=0\mathrm{.}240s.$