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Students will study the motion of two points and use calculus to determine the velocity and acceleration. The slope of parametric equations will be determined.
Students will investigate parametric equations. Students will study the motion of two points and use calculus to determine the velocity and acceleration.
Next, students will explore a graph that is not a function, but can be graphed with parametric equations. They will explore what values of t result in cusps, horizontal and vertical tangents, and tangents equal to 1.
As an extension, students will try to create a graph from parametric equations that matches some given points. Students will find the value(s) of t for the vertical and horizontal tangents.
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