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

When acceleration is non-constant

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

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

Integrate: $\mathbf{s} = \int \mathbf{v} dt$

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

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

Constant of integration $\mathbf{C}$

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

j-component of velocity is 0

Differentiation