A $0\mathrm{.}500$ kg mass is attached to a spring and executes SHM with a velocity given

by: v$($t$)=(3\mathrm{.}60$ cm$/$s$)$ sin$[(4\mathrm{.}71$ rad$/$s$)$t $-$ $/2]$

$($a$)$ What is the period of this simple harmonic motion in seconds?

$($b$)$ What is the amplitude of this simple harmonic motion?

$($c$)$ What is the maximum acceleration of the mass in cm$/$s$2?$

$($d$)$ What is the force constant of the spring in N$/$m$?$

$($e$)$ What is the velocity of the mass at t $=0$ in cm$/$s$?$

$($f$)$ What is the velocity of the mass at t $=1\mathrm{.}50$ s in cm$/$s$?$