In this module you will use data from a falling object to investigate the concepts of average velocity and difference quotients. You will use the TI-89 to investigate average velocities from symbolic, numeric and graphical perspectives. These multiple perspectives will prepare you to make the transition from average to instantaneous velocity.

Lesson Index:

7.1 - Average Velocity

7.2 - Instantaneous Velocity

7.3 - Difference Quotients

After completing this module, you should be able to do the following:

• Define a function of several variables
• Use the DrawSlp command
• Compute average velocities from discrete data and from continuous functions
• Visualize average velocities
• Compute and visualize instantaneous velocities
• Understand the relation between average and instantaneous velocities
• Compute and visualize left-hand, right-hand and symmetric difference quotients