Solve the Problem $\frac { 5 } { \pi }$ Cycles Per Second, Determine a Trigonometric Model That Gives the Pulled

Multiple Choice

Solve the problem.
-A weight attached to a spring is pulled down 8 inches below the equilibrium position. Assuming that the frequency of the system is $\frac { 5 } { \pi }$ cycles per second, determine a trigonometric model that gives the position of the weight at time $t$ second.

A) $y = - 8 \cos 5 \mathrm { t }$
B) $y = 8 \cos 10 \mathrm { t }$
C) $y = - 8 \cos 10 t$
D) $y = 8 \cos 5 t$