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Kinematics

Kinematics covers the study of objects with constant acceleration.

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

\[ \begin{align*} s &= \frac{{u+v}}{2} \cdot t \\ \\ v &= u + a \cdot t \\ \\ s &= u \cdot t + \frac{a \cdot t^{2}}{2} \\ \\ v^{2} &= u^{2} + 2 \cdot a \cdot s \end{align*} \]