Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-A formula for the up-and-down motion of a weight on a spring is given by $\mathrm { S } = 2 \sin \left( \frac { \sqrt { \mathrm { k } } } { \mathrm { m } } \right) \mathrm { t }$ , where $\mathrm { k }$ is the spring constant, $\mathrm { m }$ is the mass, and $\mathrm { t }$ is the time. Solve the equation for $\mathrm { t }$ .

A) $t = \frac { m } { \sqrt { k } } \arcsin \left( \frac { \mathrm { s } } { 2 } \right)$
B) $t = \frac { m } { \sqrt { k } } \sin \left( \frac { S } { 2 } \right)$
C) $t = \frac { \sqrt { \mathrm { k } } } { \mathrm { m } } \sin \left( \frac { 2 } { \mathrm {~S} } \right)$
D) $t = \frac { \sqrt { \mathrm { k } } } { \mathrm { m } } \arcsin \left( \frac { \mathrm { s } } { 2 } \right)$