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].$

pts$3611$@g$.$rit.edu$4$N$89-61-$AA$-40-$B$69$F$-50456$

$$ Part $($a$)$

What is the period of this simple harmonic motion in seconds?

$$ Part $($b$)$

What is the amplitude of this simple harmonic motion in millimeters?

$$ Part $($c$)$

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

$$ Part $($d$)$

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

$$ Part $($e$)$

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

$$ Part $($f$)$

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

$$ Part $($g$)$

Write a function for the displacement, x$($t$),$ using the fact that at t$=0$ the mass is at x$=0.$