Equations of Motion

Equations

Potential Energy (W)	$= m g h$
Kinetic Energy (W)	$= \frac{1}{2} m v^{2}$
Impulse	$F t = m (v - u)$
Linear Motion	$\begin{matrix} v & = u + a t v^{2} & = u^{2} + 2 a s s & = u t + \frac{1}{2} a t^{2} s & = \frac{1}{2} (u + v) t \end{matrix}$
Momentum	$M = m v$
Conservation of momentum	$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$
Force	$F = m a$
Velocity	$v = \sqrt{2 a s}$
Work	$W = F s$
Power	$P = F s / t = F v$

$m$	is the mass (kg)
$g$	is acceleration due to gravity (m²/s)
$h$	is the the change in height (m)
$v$	is the final velocity (m/s)
$F$	is the force on body (N)
$t$	is time (s)
$u$	is the initial velocity (m/s)
$a$	is acceleration (a)
$s$	is distance travelled (m)
$W$	is work done (J)
$P$	is power (W)