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

question 221

Multiple Choice

Solve the problem.
-The position(in feet) of an object oscillating up and down at the end of a spring is given by s $= \mathrm { A } \sin \left( \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \mathrm { t } \right)$ at time $t$ (in seconds) . The value of $\mathrm { A }$ is the amplitude of the motion, $\mathrm { k }$ is a measure of the stiffness of the spring, and $m$ is the mass of the object. Find the object's velocity at time $t$ .

• A) \(v = A \cos \left( \sqrt { \frac { k } { m } } t \right) \mathrm { ft } / \mathrm { sec }\)
• B) \(v = A \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \cos \left( \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \mathrm { t } \right) \mathrm { ft } / \mathrm { sec }\)
• C) \(v = - A \sqrt { \frac { k } { m } } \cos \left( \sqrt { \frac { k } { m } } t \right) \mathrm { ft } / \mathrm { sec }\)
• D) \(v = A \sqrt { \frac { \mathrm { m } } { \mathrm { k } } } \cos \left( \sqrt { \frac { \mathrm { k } } { \mathrm { m } } } \mathrm { t } \right) \mathrm { ft } / \mathrm { sec }\)

---

Definitions:

Sexual Harassment

Behaviour of a sexual nature that affects a person’s employment situation.

Job Decisions

The process of making critical choices related to one's career, including job selection, changes, and advancements.

Corporate Culture

The collective values, beliefs, and principles of organizational members that define the organization's character and norms.

Core Values

Fundamental beliefs or guiding principles that represent an organization's or individual's highest priorities and deeply held driving forces.