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Jada is riding on a Ferris wheel. Her vertical position, in feet, is modeled by the function \(h(m) = 100\sin\left(\text-\frac{\pi}{2} + \frac{2\pi m}{10}\right) + 110\), where \(m\) is the number of minutes since she got on the ride.
The midline for the graph of the equation is 20.
The windmill makes one revolution every 3 seconds.
The windmill makes 3 revolutions per second.
A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds.
Which statements are true? Select all that apply.
After 15 seconds, the point \(W\) will be in its starting position.
After \(\frac{1}{5}\) of a second, the point \(W\) will be in its starting position.
In 1 second, the point \(W\) travels through an angle of \(\frac{\pi}{5}\).
The position of \(W\) repeats every 5 seconds.
The position of \(W\) repeats every 10 seconds.
Here is the graph of a trigonometric function.
Which equation has this graph?
\(y = \text-2\sin(2x)\)
\(y = 2\sin\left( 2\pi \left(x+\frac{1}{4}\right)\right)\)
\(y = 2\sin\left( 2\pi \left(x-\frac{1}{4}\right)\right)\)
\(y = 2\sin\left( 2\pi \left(x-\frac{\pi}{4}\right)\right)\)