Solve the problem.
-A weight attached to a spring is pulled down 7 inches below the equilibrium position. Assuming that the period of the system is $\frac { 1 } { 2 }$ second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.
A) $y = 7 \cos \frac { 1 } { 2 } t$
B) $y = - 7 \cos 4 \pi t$
C) $y = 7 \cos 4 \pi t$
D) $y = - 7 \cos 2 \pi t$

Question

Quizplus · Accepted Answer

The amplitude is 7, and since the weight is pulled down, the cosine function should be negative. The period is $\frac{1}{2}$ second, so the angular frequency is $4\pi$.

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