Solve the Problem $s ( t ) = - 5 \cos 16 \pi t$

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.