Solve the Problem $\frac { 6 } { \pi }$ Cycles Per Second, Determine a Trigonometric Model That Gives the Pulled

question 182

Multiple Choice

Solve the problem.
-A weight attached to a spring is pulled down 3 inches below the equilibrium position. Assuming that the frequency of the system is $\frac { 6 } { \pi }$ cycles per second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.

• A) \(s ( t ) = - 3 \cos 12 t\)
• B) \(s ( t ) = 3 \cos 12 t\)
• C) \(s ( t ) = 3 \pi \cos 6 t\)
• D) \(s ( t ) = - 3 \cos \frac { 6 } { \pi } t\)

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Definitions:

Wind-pollinated

Refers to plants that rely on wind to transport pollen from one flower to another for fertilization.

Pollinators

Organisms that carry pollen from the male structures (anthers) to the female structures (stigmas) of flowers, facilitating plant reproduction.

Nectar-producers

Organisms, typically flowering plants, that generate nectar, a sweet fluid attracting pollinators such as bees and hummingbirds.

Male Part

Refers to the stamen in plants, which is the pollen-producing reproductive organ.