Solve the Problem Let $\mathrm { V }$ Represent the Wind Speed (Velocity) in Feet Per Second and Cyclic

Multiple Choice

Solve the problem.
-An experiment in a wind tunnel generates cyclic waves. The following data is collected for 36 seconds: $$\begin{array} { c | c } \begin{array} { c } \text { Time } \\\text { (in seconds) }\end{array} & \begin{array} { c } \text { Wind speed } \\\text { (in feet per second) }\end{array} \\\hline 0 & 16 \\\hline 9 & 40 \\\hline 18 & 64 \\\hline 27 & 40 \\\hline 36 & 16\end{array}$$ Let $\mathrm { V }$ represent the wind speed (velocity) in feet per second and let $t$ represent the time in seconds. Write a sine equation that describes the wave.

A) $V = 24 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right) + 40$
B) $V = 64 \sin ( 36 t - 18 ) + 16$
C) $V = 64 \sin \left( \frac { \pi } { 18 } t - \frac { \pi } { 2 } \right) + 16$
D) $V = 48 \sin ( 36 t - 18 ) + 24$