A spring mass system executes a simple harmonic motion$$x$($t$)=$ A sin $($wnt $+).$ The system starts with an initial conditions x$0=25$ mm and v$0=160$ mm$/$s$.$ It oscillates at a rate of $0\mathrm{.}5$ Hz$.$

Calculate the displacement, velocity and the acceleration @ t $=1$ s

Question $1$Select one:

x$($t$)=20\mathrm{.}00037$ mm$,$ v$($t$)=159\mathrm{.}99$ mm$/$s$,$ a$($t$)=3947\mathrm{.}919$ mm$/$s$2$

x$($t$)=29\mathrm{.}00037$ mm$,$ v$($t$)=204\mathrm{.}425$ mm$/$s$,$ a$($t$)=247\mathrm{.}919$ mm$/$s$2$

x$($t$)=25\mathrm{.}00037$ mm$,$ v$($t$)=159\mathrm{.}99$ mm$/$s$,$ a$($t$)=-9347\mathrm{.}919$ mm$/$s$2$

x$($t$)=-25\mathrm{.}00037$ mm$,$ v$($t$)=-159\mathrm{.}99$ mm$/$s$,$ a$($t$)=246\mathrm{.}745$ mm$/$s$2$