A mass moves in simple harmonic motion with a frequency of $4\mathrm{.}80$ Hz and an amplitude of $3\mathrm{.}40$ cm$.$

$($a$)$

Through what total distance $($in cm$)$ does the mass move during one cycle of its motion?

cm

$($b$)$

What is its maximum speed $($in cm$/$s$)?$

cm$/$s

Where does this maximum speed occur?

as the mass passes through equilibriumat maximum excursion from equilibrium$$exactly halfway between equilibrium and maximum excursionnone of these

$($c$)$

What is the maximum magnitude of acceleration $($in m$/$s$2)$ of the mass?

m$/$s$2$

Where in the motion does the maximum acceleration occur?

as the mass passes through equilibriumat maximum excursion from equilibrium$$exactly halfway between equilibrium and maximum excursionnone of these

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

m

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

rad

$($e$)$ Determine the position of the particle at t$=0\mathrm{.}290$s$.$

m