Kinematics Equations

#formula

These formulas only work for constant acceleration.

Linear Kinematics

$v_{fs}=v_{is}+a_s\Delta t$ $s_f=v_{is}\Delta t+\frac{1}{2}{a}_s\Delta t^2$ $v_{fs}^2=v_{is}^2+2a_s\Delta s$

$\Delta s=(\frac{v_{fs}+v_{is}}{2})\Delta t$

Rotational Kinematics

${\omega }_{fs}={\omega }_{is}+{\alpha }_s\Delta t$ ${\theta }_f={\omega }_{is}\Delta t+\frac{1}{2}{\alpha }_s\Delta t^2$ ${\omega }_{fs}^2={\omega }_{is}^2+2{\alpha }_s\Delta \theta$

See Rotational Kinematics and Dynamics for more information.