Momentum & Impulse with Vectors (Edexcel A-Level Further Mathematics): Flashcards

Vector quantities (have magnitude and direction)

$\mathbf{p} = m\mathbf{v}$

$\mathbf{J} = \mathbf{F}\Delta t$

$\mathbf{J} = m\mathbf{v}_\text{final} - m\mathbf{v}_\text{initial}$

Angle between initial and final velocity vectors

$\cos\theta = \frac{\mathbf{u} \cdot \mathbf{v}}{|\mathbf{u}||\mathbf{v}|}$

Dot product

Component-wise

Always positive (non-negative)

$m\mathbf{v}_\text{final} = m\mathbf{v}_\text{initial} + \mathbf{J}$