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

Path of object under projectile motion

Parabolic form (parabola)

Constant acceleration due to gravity

No air resistance

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

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

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

Eliminate time $t$ from parametric equations

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

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

Its weight

$0$ $\text{ms}^{-1}$