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Motion equations

The four motion equations combine the properties (position/length $s$, speed $v$, initial speed $v_0$, acceleration $a$, time $t$) of motion along a path/direction.

$$v=v_0+at\\
s=s_0+v_0t+\frac12 at^2\\
v^2=v_0^2+2a(s-s_0)\\
s=s_0+\frac12 (v+v_0)t$$

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