by x$($t$)=0\mathrm{.}7$ cos$(8$t $+1\mathrm{.}9),$ where all MKS units are assumed.

$$

For this solution,

$($a$)$ the amplitude is $0\mathrm{.}7$ m;

$($b$)$ the angular frequency is $8$ rad$/$s;

$($c$)$ the phase shift is $[$ Select $]["1\mathrm{.}9","8","0\mathrm{.}7"]$ rad;

$($d$)$ the frequency is $[$ Select $]$ Hz;

$($e$)$ the period is $[$ Select $]["1\mathrm{.}86","0\mathrm{.}672","0\mathrm{.}785","1\mathrm{.}27"]$ s;

$($f$)$ the maximum speed is $[$ Select $]["2\mathrm{.}8","3\mathrm{.}6","4\mathrm{.}2","5\mathrm{.}6"]$ m$/$s;

$($g$)$ the maximum acceleration is $[$ Select $]["22\mathrm{.}4","44\mathrm{.}8","32\mathrm{.}5","18\mathrm{.}6"]$ m$/$s$2$;

$($h$)$ the position at t $=0$ s is $[$ Select $]$ m;

$($i$)$ the velocity at t $=0$ s is $[$ Select $]["5\mathrm{.}30","2\mathrm{.}62","-2\mathrm{.}62","-4\mathrm{.}15","-5\mathrm{.}30"]$ m$/$s;

$($j$)$ the acceleration at t $=0$ s is $[$ Select $]["-13\mathrm{.}2","8\mathrm{.}92","19\mathrm{.}3","-5\mathrm{.}80","14\mathrm{.}48"]$ m$/$s$2$;

$($k$)$ Find the first time t $>0$ that the mass reaches x $=0.[$ Select $]["0\mathrm{.}418","0\mathrm{.}785","0\mathrm{.}265","0\mathrm{.}352","0\mathrm{.}155"]$

$($l$)$ Find the first time t $>0$ that the speed is $0.[$ Select $]["0\mathrm{.}261","0\mathrm{.}352","0\mathrm{.}155","0\mathrm{.}405"]$