The Displacement from Equilibrium of an Object in Harmonic Motion $y = \frac { 1 } { 6 } \cos 12 t - \frac { 1 } { 2 } \sin 8 t$

question 93

Multiple Choice

The displacement from equilibrium of an object in harmonic motion on the end of a spring is $y = \frac { 1 } { 6 } \cos 12 t - \frac { 1 } { 2 } \sin 8 t$ where $y$ is measured in feet and $t$ is the time in seconds. Determine the velocity of the object when $t = \pi / 8$ . Round your answer to two decimal places.

• A) \(8.00 \mathrm { ft } / \mathrm { sec }\)
• B) \(4.68 \mathrm { ft } / \mathrm { sec }\)
• C) \(6.00 \mathrm { ft } / \mathrm { sec }\)
• D) \(1.00 \mathrm { ft } / \mathrm { sec }\)
• E) \(5.00 \mathrm { ft } / \mathrm { sec }\)

---

Definitions:

Profit Making

Refers to the process of generating financial gain or earnings from business activities or investments.

Environmental Side Effect

Unintended consequences or impacts on the environment resulting from human activities or industrial operations.

Genetic Pollution

Refers to the potential dangers of mixing the genes of one species with those of another.

Industrial Pollution

The introduction of contaminants into the natural environment that cause adverse change, resulting from the production processes of industrial facilities.