Solve the Problem $s ( t ) = - 8 \cos 24 \pi t$

Multiple Choice

Solve the problem.
-The position of a weight attached to a spring is $s ( t ) = - 8 \cos 24 \pi t$ 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 16 inches is first reached after 12 seconds.
B) The maximum height of 8 inches is first reached after $0.04$ seconds.
C) The maximum height of 8 inches is first reached after 12 seconds.
D) The maximum height of 16 inches is first reached after 6 seconds.