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:

Sample Space

The set of all possible outcomes in a probability experiment.

Probability

A measure of the likelihood of a particular event or outcome in a set of possible events, typically expressed as a ratio between 0 and 1.

Air Quality Standards

Regulations set by governments to control the levels of pollutants in the air, ensuring it is safe to breathe and protective of public health and the environment.

Air Pollution

The presence of harmful substances in the air, often resulting from human activities, that can harm health and the environment.