Determine the Equation of the Graph $\frac { 1 } { 2 }$

question 229

Multiple Choice

Determine the equation of the graph.
-A weight attached to a spring is pulled down 6 inches below the equilibrium position. Assuming that the period of the system is $\frac { 1 } { 2 }$ second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.

• A) \(s ( t ) = 6 \cos 4 \pi t\)
• B) \(s ( t ) = - 6 \cos 4 \pi t\)
• C) \(\mathrm { s } ( \mathrm { t } ) = 6 \cos \frac { 1 } { 2 } \mathrm { t }\)
• D) \(s ( t ) = - 6 \cos 2 \pi t\)

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