Key Equations

Key Equations

3.1 Acceleration

Average acceleration

$\overline{a}=\frac{\Delta v}{\Delta t}=\frac{v_{\text{f}}-v_0}{t_{\text{f}}-t_o}$

3.2 Representing Acceleration with Equations and Graphs

Average velocity	$d=d_0+\overline{v}t$, or $\overline{v}=\frac{d}{t}$ when d0 = 0
Average velocity	$\overline{v}=\frac{v_0+v_{\text{f}}}{2}$
Velocity with constant acceleration	$v=v_0+at$, or $v=at$ when v0 = 0
Displacement with constant acceleration	$d=d_0+v_{0}t+\frac{1}{2}a{t}^2$, or $a=\frac{2d}{t^2}$ when d0 = 0 and v0 = 0
Constant acceleration	$v^2=v_0^2+2a\left(d-d_0\right)$, or $a=\frac{v^2}{2d}$ when d0 = 0 and v0 = 0