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

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.

Correct Answer:

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