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

When acceleration is non-constant; use calculus instead

$\mathbf{v}$ (velocity)

$\mathbf{a}$ (acceleration)

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

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

Differentiate $\mathbf{r}$ with respect to $t$

Differentiate $\mathbf{v}$ with respect to $t$

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

$3 \times 10^{-3}$ kg or 0.003 kg

$j$-component of velocity $= 0$