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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