Displacement (Δx) = \large\displaystyle \mathrm{x_2}-\mathrm{x_1}
Average speed = \large\displaystyle \frac{\text{total distance}}{\text{total time}}
Instantaneous speed (v) = \large\displaystyle \lim_{\Delta \mathrm{t}\to 0}\frac{\Delta \mathrm{s}}{\Delta \mathrm{t}}=\frac{\mathrm{d}\mathrm{s}}{\mathrm{d}\mathrm{t}}
Average velocity (vₐᵥg) = \large\displaystyle \frac{\Delta \mathrm{x}}{\Delta \mathrm{t}}
Instantaneous velocity (v) = \large\displaystyle \lim_{\Delta \mathrm{t}\to 0}\frac{\Delta \mathrm{x}}{\Delta \mathrm{t}}=\frac{\mathrm{d}\mathrm{x}}{\mathrm{d}\mathrm{t}}
Average acceleration (aₐᵥg) = \large\displaystyle \frac{\mathrm{v_2}-\mathrm{v_1}}{\mathrm{t_2}-\mathrm{t_1}}=\frac{\Delta \mathrm{v}}{\Delta \mathrm{t}}
Instantaneous acceleration (a) = \large\displaystyle \frac{\mathrm{d}\mathrm{v}}{\mathrm{d}\mathrm{t}}
Displacement (s) = \large\displaystyle \frac{\mathrm{u}+\mathrm{v}}{2}\mathrm{t}
Final velocity (v) = \large\displaystyle \mathrm{u}+\mathrm{a}\mathrm{t}
\mathrm{s}=\mathrm{u}\mathrm{t}+\frac{1}{2}\mathrm{a}\mathrm{t}^{2}
\mathrm{v}^{2}=\mathrm{u}^{2}+2\mathrm{a}\mathrm{s}
\mathrm{v}=\mathrm{u}+\mathrm{g}\mathrm{t}
\mathrm{h}=\mathrm{u}\mathrm{t}+\frac{1}{2}\mathrm{g}\mathrm{t}^2
\mathrm{v}^{2}=\mathrm{u}^{2}+2\mathrm{g}\mathrm{h}
\mathrm{v}=\mathrm{u}-\mathrm{g}\mathrm{t}
\mathrm{h}=\mathrm{u}\mathrm{t}-\frac{1}{2}\mathrm{g}\mathrm{t}^2
\mathrm{v}^2=\mathrm{u}^2-2\mathrm{g}\mathrm{h}