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%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{So Ty (pastel-galaxies)}
\pdfinfo{
  /Title (basics-of-physics.pdf)
  /Creator (Cheatography)
  /Author (So Ty (pastel-galaxies))
  /Subject (Basics of Physics Cheat Sheet)
}

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% Header and Footer
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\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Basics of Physics Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{So Ty (pastel-galaxies)} via \textcolor{DarkBackground}{\uline{cheatography.com/51952/cs/14178/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}So Ty (pastel-galaxies) \\
  \uline{cheatography.com/pastel-galaxies} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 9th January, 2018.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Introduction to Physics}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{There are 3 ways to read in physics: reading to {\bf{know}}, reading to {\bf{discover}}, and reading to {\bf{understand}}.% Row Count 3 (+ 3)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Key Words}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Often we are given information from the wording of the problem that is not directly stated. For example, if a problem tells us that an object {\emph{started from rest}}, we know that the initial velocity is zero, even though the problem didn't say anything about velocity.} \tn 
% Row Count 6 (+ 6)
% Row 1
\SetRowColor{white}
{\bf{If a problem says...}} & {\bf{It is really telling us about...}} \tn 
% Row Count 8 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Beginning & Starting/Initial Velocity \tn 
% Row Count 10 (+ 2)
% Row 3
\SetRowColor{white}
From ... to ... & Starting at ... and stopping at ... \tn 
% Row Count 12 (+ 2)
% Row 4
\SetRowColor{LightBackground}
From rest & Initial velocity (V\textasciicircum{}I\textasciicircum{}) \tn 
% Row Count 13 (+ 1)
% Row 5
\SetRowColor{white}
Reaches & Final (velocity, sometimes) \tn 
% Row Count 15 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Freely falling & Gravity \tn 
% Row Count 16 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Scalar vs. Vector}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{A {\emph{scalar}} is a quantity that has a magnitude only. A {\emph{vector}} is a quantity with a magnitude and a direction.} \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
{\bf{Scalar}} & {\bf{Vector}} \tn 
% Row Count 4 (+ 1)
% Row 2
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8 years old & 10 kilometers east \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
14 days & 12 miles west \tn 
% Row Count 6 (+ 1)
% Row 4
\SetRowColor{LightBackground}
3 meters & 2 inches south \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
8 apples & 5 yards north \tn 
% Row Count 8 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.28942 cm} x{2.68758 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Conversion Tables}}  \tn
% Row 0
\SetRowColor{LightBackground}
1 kilometer & 1000 meters \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
1 centimeter & 0.01 meter \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
1 gram & 0.001 kilogram \tn 
% Row Count 3 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.69349 cm} x{1.78503 cm} x{1.09848 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Standard Units in Physics}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{There are specific units that you must use when solving physics problems. If your final answer uses units other than these, it will be marked {\emph{wrong}}.} \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
{\bf{Measurement}} & {\bf{Unit}} & {\bf{Abbr.}} \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Distance & meters & m \tn 
% Row Count 6 (+ 1)
% Row 3
\SetRowColor{white}
Displacement & meters & m \tn 
% Row Count 7 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Velocity & meters/second & m/s \tn 
% Row Count 8 (+ 1)
% Row 5
\SetRowColor{white}
Acceleration & meters/second\textasciicircum{}2\textasciicircum{} & m/s\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 10 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Force* & newtons & N \tn 
% Row Count 11 (+ 1)
% Row 7
\SetRowColor{white}
Weight & newtons & N \tn 
% Row Count 12 (+ 1)
% Row 8
\SetRowColor{LightBackground}
Mass & kilograms & kg \tn 
% Row Count 13 (+ 1)
% Row 9
\SetRowColor{white}
Time & seconds & s \tn 
% Row Count 14 (+ 1)
% Row 10
\SetRowColor{LightBackground}
Work & joules & J \tn 
% Row Count 15 (+ 1)
% Row 11
\SetRowColor{white}
Gravity** & meters/second\textasciicircum{}2\textasciicircum{} & 9.8 m/s\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 17 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{{\emph{: see force box below for everything measured in newtons. \newline }}{\emph{: Gravity will always be 9.8 m/s\textasciicircum{}2\textasciicircum{} }}unless a problem specifically mentions a zero-gravity environment (rare but possible).}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{p{0.50347 cm} x{2.15119 cm} x{1.92234 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Types of Force}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{There are several types of forces that are all measured in newtons. It is important to remember that every force is equal to {\bf{mass times acceleration}}, but certain forces have easier ways of measuring them.} \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
F\textasciicircum{}G\textasciicircum{} & Force of gravity & Mass × gravity \tn 
% Row Count 6 (+ 1)
% Row 2
\SetRowColor{LightBackground}
F\textasciicircum{}D\textasciicircum{} & Driving force & F\textasciicircum{}G\textasciicircum{} sin θ \tn 
% Row Count 7 (+ 1)
% Row 3
\SetRowColor{white}
F\textasciicircum{}F\textasciicircum{} & Force of friction & μ × F\textasciicircum{}N\textasciicircum{} \tn 
% Row Count 8 (+ 1)
% Row 4
\SetRowColor{LightBackground}
F\textasciicircum{}N\textasciicircum{} & Normal force & F\textasciicircum{}G\textasciicircum{} cos θ \tn 
% Row Count 9 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{5.377cm}}{The website I made this cheat sheet on doesn't have a subscript option (the little letters used for things like initial velocity) so I put it in superscript instead. However, you will see it in subscript on the test, so be aware.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.23965 cm} x{2.73735 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Formula List}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{{\bf{Every formula you'll need for the class should be here!}}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Area of a rectangle & length × width \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Area of a triangle & $\frac{1}{2}$ length × width \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
Area of a trapezoid & $\frac{1}{2}$ (b\textasciicircum{}1\textasciicircum{} + b\textasciicircum{}2\textasciicircum{}) × height \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Distance & speed × time \tn 
% Row Count 8 (+ 1)
% Row 5
\SetRowColor{white}
Speed & distance / time \tn 
% Row Count 9 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Weight (F\textasciicircum{}G\textasciicircum{}) & mass × gravity \tn 
% Row Count 10 (+ 1)
% Row 7
\SetRowColor{white}
Force (general) & mass × acceleration \tn 
% Row Count 11 (+ 1)
% Row 8
\SetRowColor{LightBackground}
F\textasciicircum{}D\textasciicircum{} & F\textasciicircum{}G\textasciicircum{} × sin θ \tn 
% Row Count 12 (+ 1)
% Row 9
\SetRowColor{white}
F\textasciicircum{}N\textasciicircum{} & F\textasciicircum{}G\textasciicircum{} × cos θ \tn 
% Row Count 13 (+ 1)
% Row 10
\SetRowColor{LightBackground}
F\textasciicircum{}F\textasciicircum{} & μ × F\textasciicircum{}N\textasciicircum{} \tn 
% Row Count 14 (+ 1)
% Row 11
\SetRowColor{white}
Work & Force × displacement \tn 
% Row Count 15 (+ 1)
% Row 12
\SetRowColor{LightBackground}
Kinetic energy & $\frac{1}{2}$ mass × velocity\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 16 (+ 1)
% Row 13
\SetRowColor{white}
Potential energy & mass × gravity × height \tn 
% Row Count 18 (+ 2)
% Row 14
\SetRowColor{LightBackground}
Centimeters to meters & cm × 0.01 \tn 
% Row Count 20 (+ 2)
% Row 15
\SetRowColor{white}
Kilometers to meters & km × 1000 \tn 
% Row Count 22 (+ 2)
% Row 16
\SetRowColor{LightBackground}
Acceleration & V\textasciicircum{}F\textasciicircum{} - V\textasciicircum{}I\textasciicircum{} / T\textasciicircum{}F\textasciicircum{} - T\textasciicircum{}I\textasciicircum{} \tn 
% Row Count 24 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{3.9816 cm} x{0.9954 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Kinematic Formulas}}  \tn
% Row 0
\SetRowColor{LightBackground}
Δx = V\textasciicircum{}F\textasciicircum{}\textasciicircum{}2\textasciicircum{} - V\textasciicircum{}I\textasciicircum{}\textasciicircum{}2\textasciicircum{} / 2a & No t \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
V\textasciicircum{}F\textasciicircum{} = V\textasciicircum{}I\textasciicircum{} + at & No Δx \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Δx = V\textasciicircum{}I\textasciicircum{}t + $\frac{1}{2}$at\textasciicircum{}2\textasciicircum{} & No V\textasciicircum{}F\textasciicircum{} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Δx = (V\textasciicircum{}F\textasciicircum{} + V\textasciicircum{}I\textasciicircum{} / 2) × t & No a \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}