Parametric equations and planar motion

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Learn it Parametric equations give x and y in terms of a parameter t (often time): x = f(t), y = g(t). To find the Cartesian equation, eliminate t. x = r cos t, y = r sin t traces a circle of radius r.

Example: x = 2t + 1, y = t² − 3. Eliminate t.

t = (x − 1)/2.
y = ((x − 1)/2)² − 3.

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