Modelling with Parametric Equations (Edexcel A-Level Mathematics): Quizzes

$x$ and $y$ as functions of a third var

Time, angle, or another variable

$x(t) = v_0 \cos(\theta) \cdot t$

$y(t) = v_0 \sin(\theta) \cdot t - \frac{1}{2}gt^2$

Parabola

Angular velocity

Set $\frac{dy}{dt} = 0$ and solve for $t$

$x(t) = r \cos(\omega t)$, $y(t) = r \sin(\omega t)$

$x(t) = a \cos(t)$

They model curves hard to express in Cartesian