Variable Acceleration - 2D (Edexcel A-Level Mathematics): Flashcards

Use calculus (cannot use SUVAT)

$\mathbf{v} = \frac{d\mathbf{s}}{dt}$

$\mathbf{a} = \frac{d\mathbf{v}}{dt}$

$\mathbf{s} = \int \mathbf{v} \, dt$

$\mathbf{v} = \int \mathbf{a} \, dt$

$\mathbf{F} = m\mathbf{a}$

Multiply by $10^{-3}$

$|\mathbf{s}| = \sqrt{x^2 + y^2}$

$j$-component of velocity = 0

Use given boundary/initial conditions

Differentiate position w.r.t. time

Differentiate velocity w.r.t. time