A mass attached to a vertical spring has position function given by $y(t)=A\sin{wt}$, where $A$ is the amplitude of its oscillations and $w$ is a constant.
(a) Find the velocity as a function of time.
(b) Find the acceleration as a function of time. (Notice anything about this expression when compared to its position?)

$v(t) =$
$a(t) =$