Solve the Problem $2 \mathrm { ft }$ And Released $s ( t ) = 2 \sin \sqrt { 6 } t$

question 257

Multiple Choice

Solve the problem.
-A spring with a spring constant of 6 and a 1-unit mass attached to it is stretched $2 \mathrm { ft }$ and released. What is the equation for the resulting oscillatory motion?

• A) \(s ( t ) = 2 \sin \sqrt { 6 } t\)
• B) \(s ( t ) = \frac { 1 } { 2 } \sin \sqrt { \frac { 1 } { 12 } } t\)
• C) \(s ( t ) = 2 \sin \sqrt { \frac { 1 } { 6 } } t\)
• D) \(s ( t ) = 6 \sin \sqrt { 2 } t\)

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Definitions:

Sum Of Squares

The total squared deviation of each observation from the overall mean, used in statistics to measure variation within a dataset.

Independent Variables

Variables in an experimental or statistical model that are manipulated or categorized to determine their effect on dependent variables.

Observations

Data points or items recorded during an experiment or survey; these are the raw data collected from the experiment or observational study.

F Value

A ratio used in statistical analysis to determine the significance of group differences by comparing the variance between groups with the variance within groups.