A $1\mathrm{.}00-$kg glider attached to a spring with a force constant $16\mathrm{.}0$ N$/$m oscillates on a frictionless, horizontal air track. At t $=0,$ the glider is released from rest at x $=-2\mathrm{.}60$ cm $($that is$,$ the spring is compressed by $2\mathrm{.}60$ cm$).$

$($a$)$ Find the period of the glider's motion.

$1\mathrm{.}57$ s

$($b$)$ Find the maximum values of its speed and acceleration.

speed$0\mathrm{.}104$ m$/$sacceleration$0\mathrm{.}416$ m$/$s$2$

$($c$)$ Find the position, velocity, and acceleration as functions of time. $($Where position is in m$,$ velocity is in m$/$s$,$ acceleration is in m$/$s$2,$ and t is in s$.$ Use the following as necessary: t$.)$