Solve the Problem $\frac { 6 } { \pi }$ 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 3 inches below the equilibrium position. Assuming that the frequency of the system is $\frac { 6 } { \pi }$ cycles per second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.

A) $s ( t ) = - 3 \cos 12 t$
B) $s ( t ) = 3 \cos 12 t$
C) $s ( t ) = 3 \pi \cos 6 t$
D) $s ( t ) = - 3 \cos \frac { 6 } { \pi } t$