Key Equations

Average acceleration

\bar{a} = \frac{Δ v}{Δ t} = \frac{v_{f} - v_{0}}{t_{f} - t_{o}}

Average velocity	$d = d_{0} + \bar{v} t$ , or $\bar{v} = \frac{d}{t}$ when d₀ = 0
Average velocity	$\bar{v} = \frac{v_{0} + v_{f}}{2}$
Velocity with constant acceleration	$v = v_{0} + a t$ , or $v = a t$ when v₀ = 0
Displacement with constant acceleration	$d = d_{0} + v_{0} t + \frac{1}{2} a t^{2}$ , or $a = \frac{2 d}{t^{2}}$ when d₀ = 0 and v₀ = 0
Constant acceleration	$v^{2} = v_{0}^{2} + 2 a (d - d_{0})$ , or $a = \frac{v^{2}}{2 d}$ when d₀ = 0 and v₀ = 0