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Linear Motion Equations

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Final velocity with average (v)

$v = v_\text{avg} + \frac{1}{2}a*t$

Displacement in nth second (s_n)

$s_n = u + a(\frac{1}{2} + n - 1)$

Final velocity squared (v^2)

$v^2 = u^2 + 2as$

Average velocity (v_avg)

$v_\text{avg} = \frac{s}{t}$

Final velocity (v)

$v = u + at$

Initial velocity (u)

$u = v - at$

Displacement (s)

$s = ut + \frac{1}{2}at^2$

Time (t)

$t = \frac{v - u}{a}$

Acceleration (a)

$a = \frac{v - u}{t}$

Displacement with average velocity (s)

$s = v_\text{avg} * t$

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