## Matchbox Car Collision

**Type:** Investigation

**Theme:** Physics

**Grades:** 7, 8, 9, 10, 11, 12

**Learning Target:** Students will calculate marble acceleration on a ramp through a regression while determining the parent graph for impact data.

Instructions

This project is for groups of two. All measurements are in meters.

- Measure the length of the ramp in meters.
- Measure acceleration of the marble at a selected height (your choice).
- Take video of marble with meter stick behind marble on ramp.
- Build spreadsheet of time vs. distance data of the marble using video data.
- Regress the time and distance data. In Desmos, use:

- Graph collision data at different heights.
- Measure the height (meters) for test.
- Release the marble at the top of the ramp.
- Measure the distance the car moved.
- Use trigonometry to determine the ramp angle.
- Graph the data (x=angle, y=distance car moved)
- Repeat for a minimum of 10 different heights.
- Choose the best parent equation that fits the model (linear, exponential, quadratic, or logarithmic) and regress your data with it (example).

- Take photos of your group working together.
- Obtain and provide a Peer Review.

### Submission

Submit as a web page (do not include video).

- Acceleration of marble. Include a-value and angle (acceleration should be in meters per second squared).
- Acceleration graph with regression
- Spreadsheet with collision data
- Collision scatterplot with regression
- Questions:
- Describe the impact data. What do you notice?
- Why did you choose your parent equation?
- Would collecting more data have been beneficial? Why or why not?

- Peer Review

### Resources

Exit Ticket

CCSS Math Practice

- I can construct viable arguments and critique the reasoning of others.

NGSS Crosscutting Concepts

- Systems and System Models
- Stability and Change