Solve the Problem $s ( t ) = - 5 \cos 16 \pi t$

question 213

Multiple Choice

Solve the problem.
-The position of a weight attached to a spring is $s ( t ) = - 5 \cos 16 \pi t$ inches after $t$ seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?

• A) The maximum height of 5 inches is first reached after \(0.06\) seconds.
• B) The maximum height of 10 inches is first reached after 4 seconds.
• C) The maximum height of 5 inches is first reached after 8 seconds.
• D) The maximum height of 10 inches is first reached after 8 seconds.

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Definitions:

Expanded

Increased in volume or size, often by the introduction of air or in response to heat.

New Pressure

An unspecified or novel force applied uniformly over a surface, measured typically in units such as pascals.

Compressed

Subjected to increased pressure or compacted into a smaller volume.

New Pressure

A term potentially referring to a fresh or recently applied force per unit area, not recognized as a standard scientific term.