Solve the problem.
-A weight attached to a spring is pulled down 7 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) $y = - 7 \cos 5 \mathrm { t }$
B) $y = - 7 \cos 10 t$
C) $y = 7 \cos 10 \mathrm { t }$
D) $\mathrm { y } = 7 \cos 5 \mathrm { t }$

Question

Quizplus · Accepted Answer

The amplitude is 7, and the frequency is $\frac{5}{\pi}$, so the angular frequency is $2\pi \times \frac{5}{\pi} = 10$. The weight is pulled down, so the model is $y = -7 \cos 10t$.

Solve the Problem 5π\frac { 5 } { \pi }π5​ Cycles Per Second, Determine a Trigonometric Model That Gives the Pulled

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