MODELING STANDARD SUMMATIVE FINAL - Fan Cart Race

This is your final assessment on the modeling standard (see rubric attached). You can get assistance from myself, or classmates, but each student must submit THEIR OWN WORK. Meaning, you need to make your own models, not copy/paste someone else's that you work with. 

Scenario:

Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the race at + 50 cm from the origin, already moving at 2 cm/s ( v initial= 2 cm/s). 

Fan cart B starts at the origin (0 cm) and from rest. You have the following position and time data for fan cart B.

Determine where fan cart B will pass fan cart A in space-time (including at which time this occurs, and at what location from the origin).

Include in your submission:

• 1 Graph showing the position v. time of both fan carts.
• Math model for BOTH fancarts (Position in cm = ....)
• Slope sentence and vertical intercept sentence for one of the fan carts. 
• Another model of your choice (test plot, velocity-time graph, motion map, etc.).

Hint: Use this template/example of how to create a graph with math models (or data points) in desmos. MAKE SURE TO LABEL variables, units and lines if you use desmos for your final graph.
https://www.desmos.com/calculator/pttobvikcb Links to an external site.