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

question 39

Multiple Choice

Solve.
-A formula for the up-and-down motion of a weight on a spring is given by $S = 2 \sin \left( \frac { \sqrt { \mathrm { k } } } { \mathrm { m } } \right) \mathrm { t }$ , 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) \(t = \frac { \sqrt { \mathrm { k } } } { \mathrm { m } } \sin \left( \frac { 2 } { \mathrm {~S} } \right)\)
• B) \(t = \frac { m } { \sqrt { k } } \arcsin \left( \frac { S } { 2 } \right)\)
• C) \(t = \frac { \sqrt { k } } { m } \arcsin \left( \frac { s } { 2 } \right)\)
• D) \(t = \frac { m } { \sqrt { k } } \sin \left( \frac { S } { 2 } \right)\)

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