Relations between displacement, velocity, tangential acceleration, and time under the following conditions:
| Linear motion | Rotational 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) | ω 2 = ωo2 + 2 α (θ - θo) |