Solve the Problem $s ( t ) = - 3 \cos 20 \pi t$

question 98

Multiple Choice

Solve the problem.
-The position of a weight attached to a spring is $s ( t ) = - 3 \cos 20 \pi t$ 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 6 inches is first reached after 5 seconds.
• B) The maximum height of 6 inches is first reached after 10 seconds.
• C) The maximum height of 3 inches is first reached after 10 seconds.
• D) The maximum height of 3 inches is first reached after \(0.05\) seconds.

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