Solve the Problem $s ( t ) = - 8 \cos 8 \pi t$

question 74

Multiple Choice

Solve the problem.
-The position of a weight attached to a spring is $s ( t ) = - 8 \cos 8 \pi t$ 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? Round values to two decimal places, if necessary.

• A) The maximum height of 16 inches is first reached after 2 seconds.
• B) The maximum height of 8 inches is first reached after \(0.13\) seconds.
• C) The maximum height of 16 inches is first reached after 4 seconds.
• D) The maximum height of 8 inches is first reached after 4 seconds.

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Definitions:

Violence

The use of physical force or power, threatened or actual, against oneself, another person, or against a group or community, that either results in or has a high likelihood of resulting in injury, death, psychological harm, maldevelopment, or deprivation.

Scarce Resources

Resources that are limited in availability and cannot fully meet the demands placed upon them by humans.

Collective Violence

Violence committed by larger groups of individuals and can encompass a wide range of acts, including social, political, and economic violence.

Charles Tilly

A renowned scholar in the fields of sociology and political science, known for his contributions to our understanding of social movements, democracy, and the history of Europe.