Solve the Problem $\frac { 1 } { 4 }$ Second, Determine a Trigonometric Model That Gives the Position of Pulled

question 152

Multiple Choice

Solve the problem.
-A weight attached to a spring is pulled down 5 inches below the equilibrium position. Assuming that the period of the system is $\frac { 1 } { 4 }$ second, determine a trigonometric model that gives the position of the weight at time $\mathrm { t }$ seconds.

• A) \(\mathrm { y } = 5 \cos 8 \pi \mathrm { t }\)
• B) \(\mathrm { y } = - 5 \cos 8 \pi \mathrm { t }\)
• C) \(y = - 5 \cos 4 \pi t\)
• D) \(y = 5 \cos \frac { 1 } { 4 } t\)

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Definitions:

Bi-

A prefix meaning two, twice, or double.

Pan-

A prefix meaning "all" or "every," used to indicate inclusiveness or universality.

Sub-

A prefix indicating beneath, under, or a lower rank or status.

Poly-

A prefix meaning "many" or "multiple," used in various scientific and technical contexts to denote multiplicity.