Equation of a Trajectory (AQA A-Level Mathematics): Flashcards

Describes the path of a projectile in parabolic form

Parabola

Constant gravity acceleration & no air resistance

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

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

$y = x \tan(\theta) - \frac{g x^2}{2u^2 \cos^2(\theta)}$

$(u, 0) ms^{-1}$ where $u$ is horizontal speed

Weight only

Eliminate time $t$

$\mathbf{s} = \mathbf{ut} + \frac{1}{2} \mathbf{a}t^2$