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

question 137

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 $m$ is the mass of the object. How fast is the object moving when it is moving fastest?

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

Comprehend the process of aging on sense organs and its effects.

Understand the anatomical pathways and processes involved in vision.

Grasp the physiological mechanisms involved in the balance and orientation of the body.

Distinguish between primary, secondary, and tertiary sources in legal research.

---

Definitions:

Dynamic Density

A concept introduced by Emile Durkheim referring to the frequency and intensity of interactions in a society, increasing with social evolution.

Social Organization

The structured arrangement of social relationships and institutions that collectively form the basis of society or within specific groups.

Division of Labor

The allocation of different tasks to different people or groups in a society, aimed at increasing efficiency and productivity in the production process.

Collective Conscious

An aggregation of mutual convictions, notions, and ethical positions that function as a consolidating power within a community.