Determine the Equation of the Graph $\mathrm { s } ( \mathrm { t } ) = - 5 \cos 8 \pi t$

Multiple Choice

Determine the equation of the graph.
-The position of a weight attached to a spring is $\mathrm { s } ( \mathrm { t } ) = - 5 \cos 8 \pi t$ inches after $\mathrm { t }$ 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 5 inches is first reached after $0.13$ seconds.
B) The maximum height of 10 inches is first reached after 2 seconds.
C) The maximum height of 10 inches is first reached after 4 seconds.
D) The maximum height of 5 inches is first reached after 4 seconds.