A $0\mathrm{.}39-$kg object connected to a light spring with a force constant of $22\mathrm{.}0$ N$/$m oscillates on a frictionless horizontal surface. The spring is compressed $4\mathrm{.}0$ cm and released from rest.$($a$)$ Determine the maximum speed of the object. m$/$s$($b$)$ Determine the speed of the object when the spring is compressed $1\mathrm{.}5$ cm$.$ m$/$s$($c$)$ Determine the speed of the object as it passes the point $1\mathrm{.}5$ cm from the equilibrium position. m$/$s$($d$)$ For what value of x does the speed equal one$-$half the maximum speed? m