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MODULE 8 Parametric Equations

MODULE 8 Parametric Equations. Parametric Equation. An equation where the x and y variables are defined in terms of a third variable t These equations will give you the position of an object at a given time t

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MODULE 8 Parametric Equations

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  1. MODULE 8Parametric Equations

  2. Parametric Equation • An equation where the x and y variables are defined in terms of a third variable t • These equations will give you the position of an object at a given time t • Switch your graphing calculator to parametric mode: MODE In the 4th row highlight PAR (all other rows should be highlighted all the way to the left)

  3. Graph

  4. Graph

  5. Projectile Motion • The motion of a projectile at time t (in seconds) is given by the parametric equations: • x(t) gives the horizontal position of the projectile in feet and y(t) gives the vertical position in feet

  6. Solve: • Find the vertical and horizontal position of the projectile when t=2 • At what time will the projectile hit the ground?

  7. Example: • The given equations represent the hawk and dove population at time t (in years) • Graph the population over time

  8. Solve: • Find the population of hawks and doves after 1 year • When will the hawk population reach its maximum value? What is the maximum value?

  9. Assignment • On worksheet page 804 #3-21 by 3’s, 35, 36

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