Determine the Equation of the Graph $\mathrm { F } = 60$

question 104

Multiple Choice

Determine the equation of the graph.
-A guitar string is plucked so that it vibrates with a frequency of $\mathrm { F } = 60$ . Suppose the maximum displacement at the center of the string is $\mathrm { s } ( 0 ) = 0.54$ . Find an equation of the form $\mathrm { s } ( \mathrm { t } ) = \mathrm { a } \cos \mathrm { bt }$ to model this displacement. Round constants to 2 decimal places.

• A) \(s ( t ) = 1.08 \cos 376.99 t\)
• B) \(s ( t ) = 1.08 \cos 9.55 t\)
• C) \(s ( t ) = 0.54 \cos 9.55 t\)
• D) \(\mathrm { s } ( \mathrm { t } ) = 0.54 \cos 376.99 \mathrm { t }\)

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Definitions:

Prenatal Development

The process of growth and development within the womb from conception to birth, covering stages from zygote, embryo, to fetus.

Adolescent Egocentrism

The tendency for adolescents to focus on themselves and what others think of them, often accompanied by a sense of uniqueness and invincibility.

Imaginary Audience

The belief, common in adolescence, that one is constantly being observed and evaluated by others.

Personal Fable

Another aspect of adolescent egocentrism; the belief that our feelings and ideas are special and unique and that we are invulnerable.