#$4$ A $0\mathrm{.}80$ kg object is attached to one and of a spring and system set into simple harmonic motion, moving backwards and forwards.

The displacement of $x$ of the $0\mathrm{.}080$ kg object as a function of time is shown in the graph below.

With the aid of the graph determine:

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

$($b$)$ the time for $1$ oscillation

And then calculate

$($c$)$ the angular frequency

$($d$)$ the spring constant k

$($e$)$ what is the speed of the object at $t=1$ second $($think conservation of energy$)$