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The Zeroth Laws Calculators

What the heck is that? The Zeroth Laws were “created” by Dr. Rob MacDuff and Dr. Clark Vangilder in an effort to make sense of Mathematics making sense of Physics. Of course these equations predate us by centuries, but it’s more about the method of constructing them than the formulae themselves. And there was this dude named Newton who already had a substantial measure of fame for his three laws of motion numbered 1-3, so we had to step back and claim the zero. Besides, these laws are the foundation of his, so there!

The Linear Kinematics Stuff

v = \dfrac{\Delta s}{\Delta t} — **The First Zeroth Law: A change in position always requires a change in time**

\Delta s = v\Delta t — **The First Zeroth Law: A change in position always requires a change in time**

a = \dfrac{\Delta v}{\Delta t} — **The Second Zeroth Law: A change in speed always requires a change in time**

\Delta v = a\Delta t — **The Second Zeroth Law: A change in speed always requires a change in time**

a = \dfrac{\Bar{v}\Delta v}{\Delta s} — The Zeroth Law Theorem: A change in speed always requires a change in **position**
**$a\Delta s = \Bar{v}\Delta v = \dfrac{1}{2}(v^2 - v_0^2) \longrightarrow v^2 - v_0^2 = 2a\Delta s$**

\Delta s = \dfrac{\Bar{v}\Delta v}{a} — The Zeroth Law Theorem: A change in speed always requires a change in **position**
**$a\Delta s = \Bar{v}\Delta v = \dfrac{1}{2}(v^2 - v_0^2) \longrightarrow v^2 - v_0^2 = 2a\Delta s$**

The Roundy-Roundy (Angular) Stuff

coming soon …

FZL Quotient Form	FZL Product Form	FZL Position Update
$v = \dfrac{\Delta s}{\Delta t}$	$\Delta s = v\Delta t$	$s = s_0 + v\Delta t$

SZL Quotient Form	SZL Product Form	SZL Velocity Update
$a = \dfrac{\Delta v}{\Delta t}$	$\Delta v = a\Delta t$	$v = v_0 + a\Delta t$

ZLT Acceleration	ZLT Position Change	ZLT Final Velocity	ZLT Initial V e l o c i t y
$a = \dfrac{\Bar{v}\Delta v}{\Delta s}$	$\Delta s = \dfrac{\Bar{v}\Delta v}{a}$	$v=\sqrt{v_0^2+2a\Delta s}$	$v_0=\sqrt{v^2 - 2a\Delta s}$

Error Analysis

Vector Operations

The Zeroth Laws Calculators

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