The Displacement from Equilibrium of an Object in Harmonic Motion $y = \frac { 1 } { 4 } \cos 8 t - \frac { 1 } { 3 } \sin 15 t$

question 27

Multiple Choice

The displacement from equilibrium of an object in harmonic motion on the end of a spring is $y = \frac { 1 } { 4 } \cos 8 t - \frac { 1 } { 3 } \sin 15 t$ where $y$ is measured in feet and $t$ is the time in seconds. Determine the position of the object when $t = \pi / 12$ . Round your answer to two decimal places.

• A) \(0.12\) feet
• B) \(0.21\) feet
• C) \(17.53\) feet
• D) \(0.46\) feet
• E) \(0.11\) feet

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Definitions:

Horizontal Analysis

A technique for evaluating a series of financial statement data over a period of time, to determine the increase (decrease) that has taken place, expressed as either an amount or a percentage.

Vertical Analysis

A method used in financial statement analysis where each line item is listed as a percentage of a base figure, enabling comparison across different periods or companies.

Horizontal Analysis

An analysis tool used in financial statement analysis to compare historical data, such as revenues and earnings, across different periods.

Percentage Change

A mathematical calculation that depicts the degree of change over time, often used to compare the difference in quantities or values.