### Part 1

Suppose a Ferris Wheel has the following properties:
- Diameter: 30 meters
- Center height off the ground: 19 meters
- Revolutions per minute (rpm): 2 rpm

Tasks:

1. Drawing:
- Make a drawing of the Ferris Wheel (FW), labeling:
- Diameter or radius
- Center height off the ground
- Number of rotations per minute

2. Sinusoidal Function:
- Suppose the minimum height of the Ferris Wheel occurs when [tex]\( t = 0 \)[/tex].
- Write the sinusoidal function for the height as a function of time.
- Show how you calculated the various constants in your motion equation with some explanation.

3. Graph:
- Graph the function on a coordinate plane (do not submit a digital calculator graph or one made using computer software).
- Show at least one complete rotation of the Ferris Wheel, graphing height as a function of time.
- Label the coordinates of key points including the maximum and minimum heights.

### Part 2

Design your own Ferris Wheel with the following properties:
- State diameter
- Center height off the ground
- Number of rotations per minute

Tasks:

1. Drawing:
- Make a drawing of your Ferris Wheel, labeling:
- Diameter or radius
- Center height off the ground
- Number of rotations per minute

2. Sinusoidal Function:
- Suppose the minimum height of the Ferris Wheel occurs when [tex]\( t = 0 \)[/tex].
- Write the sinusoidal function for the height as a function of time.
- Show how you calculated the various constants in your motion equation with some explanation.
- Write the function for the height of the Ferris Wheel as a function of time.

Note:
- You DO NOT need to make a graph for Part 2 of the assignment.

### Reflection Statement

Write a Reflection Statement about your Unit 2 Assignment experience:
- What did you learn from doing this assignment?
- In Part 2, is your Ferris Wheel realistic?
- Does it travel too fast or too slow?
- Any other comments or observations?

### Additional Helpful Hints & Tips

- When writing a sinusoidal function to model circular motion, you can use either the sine or cosine functions to model this motion. The initial starting position of the object in motion at time [tex]\( t = 0 \)[/tex] is a key consideration when deciding which trigonometric function, sine or cosine, to use to model this motion.
- When making your graph in Part 1, make sure to label the axes with units being used and use appropriate scales for your data.
- Before submitting your work for grading, always take the time to carefully review the instructions in this document and look at the Grading Rubric provided to make sure that you have completed all required tasks and to see how the assignment will be graded.