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Understanding Parametric Equations for Modeling Motion

Explore Parametric Equations, Curves, and Simulation of Motion with a Grapher. Learn how to model object paths like baseballs or golf balls using parametric curves and equations. Examples included.

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Understanding Parametric Equations for Modeling Motion

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  1. 6.3 Parametric Equations and Motion

  2. What you’ll learn about • Parametric Equations • Parametric Curves • Eliminating the Parameter • Lines and Line Segments • Simulating Motion with a Grapher … and why These topics can be used to model the path of an object such as a baseball or golf ball.

  3. Parametric Curve, Parametric Equations The graph of the ordered pairs (x,y) where x = f(t) and y = g(t) are functions defined on an interval I of t-values is a parametric curve. The equations are parametric equations for the curve, the variable t is a parameter, and I is the parameter interval.

  4. Example Graphing Parametric Equations

  5. Example Graphing Parametric Equations

  6. Example Eliminating the Parameter

  7. Example Eliminating the Parameter

  8. Example Eliminating the Parameter

  9. Example Eliminating the Parameter

  10. Example Eliminating the Parameter

  11. Example Eliminating the Parameter

  12. Example Eliminating the Parameter

  13. Example Finding Parametric Equations for a Line

  14. Example Finding Parametric Equations for a Line

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