Solve the Problem $s = A \sin \left( \sqrt { \frac { k } { m } } t \right)$

question 2

Multiple Choice

Solve the problem.
-The position (in centimeters) of an object oscillating up and down at the end of a spring is given by $s = A \sin \left( \sqrt { \frac { k } { m } } t \right)$ at time $t$ (in seconds) . The value of A is the amplitude of the motion, $k$ is a measure of the stiffness of the spring, and $\mathrm { m }$ is the mass of the object. How fast is the object accelerating when it is accelerating the fastest?

• A) \(\mathrm { A } ^ { 2 } \mathrm {~cm} / \mathrm { sec } ^ { 2 }\)
• B) \(A \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \mathrm { cm } / \mathrm { sec } ^ { 2 }\)
• C) \(\mathrm { A } \mathrm { cm } / \mathrm { sec } ^ { 2 }\)
• D) \(\frac { \mathrm { Ak } } { \mathrm { m } } \mathrm { cm } / \mathrm { sec } ^ { 2 }\)

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