Complete this practice activity and submit as an analysis with supporting graphs, tables, and descriptions of your work and findings.

Here's additional guidance:

Build your own custom cubic equation (with time as the independent variable) to depict the position of an object of your choice. (i.e. call,ball, etc.)

DESMOS is a good tool for experimenting with this construction.

Focus on what happens in the 0 to 10 time timeframe. Build a function that has some variability in this region to create velocity and acceleration changes.

(Decided not to include quadratic as a choice since this creates a flat acceleration.)

Create a table of t/p/v/a using calculated small (delta) differences for v and a.

Then derive velocity and acceleration from the original equation, and build data tables for each of those.

Discuss how the data tables relate to the delta difference table. (Should be super close.)

Graph p/v/a with three separate graphs stacked top to bottom and aligned by time. Use Excel for this graph production.

Include all tables and graphs in a document that includes your interpretation of your findings.