Solve
-A Formula for the Up-And-Down Motion of a Weight $S = 2 \sin \left( \frac { \sqrt { k } } { m } \right) t$

Solve.
-A formula for the up-and-down motion of a weight on a spring is given by $S = 2 \sin \left( \frac { \sqrt { k } } { m } \right) t$ , where $k$ is the spring constant, $\mathrm { m }$ is the mass, and $t$ is the time. Solve the equation for $\mathrm { t }$ .

A) $t = \frac { m } { \sqrt { \mathrm { k } } } \operatorname { Arcsin } ( S / 2 )$
B) $t = \frac { \sqrt { k } } { m } \sin ( 2 / S )$
C) $t=\frac{m}{\sqrt{k}} \sin (S / 2)$
D) $t = \frac { \sqrt { k } } { m } \operatorname { Arcsin } ( S / 2 )$