A-level Mathematics/OCR/M4/Rotation of a Rigid Body

In M1 you learnt the five formulae for motion with constant linear acceleration:
 * $$ v = u + at \,$$
 * $$ s = ut + \frac {1}{2} at^2 $$
 * $$ s = \frac {1}{2}(u+v)t $$
 * $$ v^2 = u^2 + 2as \,$$
 * $$ s = vt - \frac {1}{2} at^2 $$

We can consider motion with constant angular acceleration in the same way:
 * $$ \omega _1 = \omega _0 + \alpha t \,$$
 * $$ \theta = \omega _0 t + \frac{1}{2} \alpha t^2$$
 * $$ \theta = \frac{1}{2}(\omega _0 + \omega _1)t$$
 * $$ \omega _1^2 = \omega _0^2 + 2\alpha\theta$$
 * $$ \theta = \omega _1 t - \frac{1}{2} \alpha t^2$$

While the first set of formulae cover the displacement, velocity and acceleration in terms of straight-line distance, the second set cover the same quantities but for rotating objects.