Kinematics

Kinematics covers the study of objects with constant acceleration.

Given $$\begin{array}{rl}a& :\text{acceleration (const.)}\\ u& :\text{initial velocity}\\ v& :\text{final velocity}\\ t& :\text{time}\\ s& :\text{displacement}\end{array}$$ the following relations hold

$$\begin{array}{rl}s& =\frac{u+v}{2}\cdot t\\ \\ v& =u+a\cdot t\\ \\ s& =u\cdot t+\frac{a\cdot t^2}{2}\\ \\ v^2& =u^2+2\cdot a\cdot s\end{array}$$