An $0\mathrm{.}80-$kg object is attached to one end of a spring, as in Figure $10\mathrm{.}5,$ and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing. With the aid of these data, determine

$($a$)$ the amplitude A of the motion,

$($b$)$ the angular frequency $,$

$($c$)$ the spring constant k$,$

$($d$)$ the speed of the object at t $=1\mathrm{.}0$ s$,$ and

$($e$)$ the magnitude of the object's acceleration at t $=1\mathrm{.}0$ s$.$