SUVAT Equations

v = u + at \qquad [$LT^{-1}$] = [$LT^{-1}$] + [$LT^{-2}$][T]

s = ut + \tfrac{1}{2}at^2 \qquad [L] = [$LT^{-1}$][T] + [$LT^{-2}$][T^2]

v^2 = u^2 + 2as \qquad [L^2$T^{-2}$] = [L^2$T^{-2}$] + [L$T^{-2}$][L]

s_n = u + \frac{a(2n-1)}{2} \qquad [L] = [$LT^{-1}$] + [$LT^{-2}$][T]

Projectile Motion

$T = \frac{2u\sin\theta}{g} \quad H = \frac{u^2\sin^2\theta}{2g} \quad R = \frac{u^2\sin 2\theta}{g} \quad R_{max} = \frac{u^2}{g}$

Vector Operations

$A_x = A\cos\theta \quad A_y = A\sin\theta \quad A = \sqrt{A_x^2+A_y^2}$

$\vec{A}\cdot\vec{B} = AB\cos\theta \quad |\vec{A}\times\vec{B}| = AB\sin\theta$

Circular Motion

$\omega = \frac{v}{r} \quad a_c = \frac{v^2}{r} = \omega^2 r$

Standard Values