Constant acceleration equations

These equations relate displacement, velocity, acceleration, and time, and apply under the following conditions:

ω 2 = ωo2 + 2 α (θ - θo)

Straight-line motionRotational motion
v = vo + at ω = ωo + α t
x - xo = vo t + ½ a t2

θ - θo = ωo t + ½ α t2

x - xo = ½ (v + vo) t θ - θo = ½ (ω + ωo) t
v2 = vo2 + 2 a (x - xo)