Solve the Problem $\frac { 1 } { 4 }$ Second, Determine a Trigonometric Model That Gives the Position of Pulled

Multiple Choice

Solve the problem.
-A weight attached to a spring is pulled down 5 inches below the equilibrium position. Assuming that the period of the system is $\frac { 1 } { 4 }$ second, determine a trigonometric model that gives the position of the weight at time $\mathrm { t }$ seconds.

A) $\mathrm { y } = 5 \cos 8 \pi \mathrm { t }$
B) $\mathrm { y } = - 5 \cos 8 \pi \mathrm { t }$
C) $y = - 5 \cos 4 \pi t$
D) $y = 5 \cos \frac { 1 } { 4 } t$