Solve the Problem $F = 60$ Suppose the Maximum Displacement at the Center of the It

question 85

Multiple Choice

Solve the problem.
-A guitar string is plucked so that it vibrates with a frequency of $F = 60$ . Suppose the maximum displacement at the center of the string is $s ( 0 ) = 0.53$ . Find an equation of the form $s ( t ) = a \cos b t$ to model this displacement. Round constants to 2 decimal places.

• A) \(\mathrm { s } ( \mathrm { t } ) = 1.06 \cos 376.99 \mathrm { t }\)
• B) \(\mathrm { s } ( \mathrm { t } ) = 0.53 \cos 376.99 \mathrm { t }\)
• C) \(s ( t ) = 0.53 \cos 9.55 \mathrm { t }\)
• D) \(s ( t ) = 1.06 \cos 9.55 t\)

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Definitions:

Tenants in Common

A form of co-ownership where individuals hold undivided interests in a property without rights of survivorship, allowing different ownership shares.

Joint Tenancy

A form of property ownership in which two or more individuals hold equal rights to the entire property, and upon the death of one, the survivor(s) automatically assume the deceased's part.

Severing

The act of legally separating or dividing property rights, often in the context of joint tenancies turning them into tenancies in common.

Adverse Possession

The process by which one can legally claim ownership of property by occupying it for a certain period, under certain conditions, without the permission of the owner.