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Mathematics · L3 · Parametric Equations & Motion

A procedure for turning a parametric pair x(t), y(t) into a Cartesian equation, and reading the result as a traced curve or a path of motion.

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🕐 Start with x(t) and y(t)Is t easy to isolate in one equation?Solve that equation for tSubstitute t into the other equationDo the equations fit an identity, e.g. sin²+cos²=1?🔗 Square and add / combine using the identityBuild a table of (x, y) points for sample t-values✅ Cartesian equation in x and y📈 Plot the points to see the traced curveDoes t represent time?🚀 Read as position over time — a path of motionYesNoYesNoYesNo

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