A block with mass m $=0\mathrm{.}300$ kg is attached to one end of an ideal spring and moves on a horizontal frictionless

surface. The other end of the spring is attached to a wall. When the block is at x $=+0\mathrm{.}240$ m$,$ its acceleration

is a $=-12\mathrm{.}0$ m$/$s$2$ and its velocity is v $=+4\mathrm{.}00$ m$/$s$.$ What are $($a$)$ the spring$$s force constant; $($b$)$ the amplitude

of motion; $($c$)$ the maximum speed of the block during its motion; and $($d$)$ the maximum magnitude of

acceleration during its motion? $($e$)$ Calculate the speed of the block when it is at x $=-0\mathrm{.}280$ m