Lesson 19 Beyond Circles

Lesson 19 Beyond Circles

Fill in the Blanks

 $f\left(t\right)=2\sin\left(\frac{2\pi t}{24}\right)$  The water level f, in feet, at a certain beach is modeled by the function f(t), where t is the number of hours since the level was measured.


What is the amplitude of the function, in feet.

Type the number only.

Fill in the Blanks

 $f\left(t\right)=2\sin\left(\frac{2\pi t}{24}\right)$  The water level f, in feet, at a certain beach is modeled by the function f(t), where t is the number of hours since the level was measured.


What is the period of the function in hours?

Type the number only.

Open Ended

 $f\left(t\right)=2\sin\left(\frac{2\pi t}{24}\right)$  The water level f, in feet, at a certain beach is modeled by the function f(t), where t is the number of hours since the level was measured.


Sketch a graph on the function over the first 72 hours.

Multiple Select

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Open Ended

Multiple Select

• A

• B

• C

• D

• E

Fill in the Blanks

 $h\left(x\right)=15+4\sin\left(\theta\right)$  

The function h given by h(x)models the height, in feet, at the tip of a windmill blade that has rotated through an angle .
What is the height of the windmill?

Type the number only.

Fill in the Blanks

 $h\left(x\right)=15+4\sin\left(\theta\right)$  

The function h given by h(x)models the height, in feet, at the tip of a windmill blade that has rotated through an angle .
What is the length of the windmill blade.

Type the number only.

Multiple Choice

Write an equation describing the vertical position on a Ferris wheel that is the same size as the Ferris wheel described by f but spins twice as quickly.

• $g\left(t\right)=80\sin\left(\frac{2\pi t}{15}\right)+95$

• $g\left(t\right)=80\sin\left(\frac{2\pi t}{30}\right)+95$

• $g\left(t\right)=80\sin\left(\frac{2\pi t}{45}\right)+95$

• $g\left(t\right)=80\sin\left(\frac{2\pi t}{60}\right)+95$

Multiple Choice

Write an equation describing the vertical position on a Ferris wheel that spins the same speed as the Ferris wheel described by f but whose radius is twice as large.

•  $g\left(t\right)=160\sin\left(\frac{2\pi t}{15}\right)+95$ 

•  $g\left(t\right)=160\sin\left(\frac{2\pi t}{30}\right)+175$ 

•  $g\left(t\right)=160\sin\left(\frac{2\pi t}{30}\right)+95$ 

• $g\left(t\right)=80\sin\left(\frac{2\pi t}{60}\right)+95$

Multiple Select

• A

• B

• C

• D

• E