\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\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{sxdnxy (sxdnxy)}
\pdfinfo{
  /Title (physics.pdf)
  /Creator (Cheatography)
  /Author (sxdnxy (sxdnxy))
  /Subject (Physics Cheat Sheet)
}

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\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
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\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\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{Physics Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{sxdnxy (sxdnxy)} via \textcolor{DarkBackground}{\uline{cheatography.com/145968/cs/32849/}}}
\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}sxdnxy (sxdnxy) \\
  \uline{cheatography.com/sxdnxy} \\
  \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 29th June, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \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{1.29402 cm} x{3.68298 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Representation of motion}}  \tn
% Row 0
\SetRowColor{LightBackground}
Motion Diagram & Dots that are created in evenly spaced intervals. Larger gaps relate to larger velocity. \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
\seqsplit{Position-Time} & Straight line represents constant velocity. Larger gradient large velocity. \tn 
% Row Count 7 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Free body & Object is represented as a particle with tails representing forces. Tails represent direction and magnitude. \tn 
% Row Count 11 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{p{0.74655 cm} x{4.23045 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Newton's Laws of motion}}  \tn
% Row 0
\SetRowColor{LightBackground}
1st Law & If the forces are balanced then the object will maintain its current state of motion. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
2nd Law & Relationship stating net force is equal to the acceleration times mass. More mass means increased resistance to change in acceleration. \tn 
% Row Count 7 (+ 4)
% Row 2
\SetRowColor{LightBackground}
3rd Law & Forces have action-reaction pairs which are equal in magnitude but opposite in direction. These forces act on different objects. \tn 
% Row Count 11 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.09494 cm} x{3.88206 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Thermal Physics}}  \tn
% Row 0
\SetRowColor{LightBackground}
Heat & Transfer of thermal energy \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\seqsplit{Temperature} & The average speed of all of the particles \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Heat flow continues until the average kinetic energy of each atom is the same.} \tn 
% Row Count 5 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.69218 cm} x{3.28482 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Geometrical optics}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Electromagnetic waves come in different wavelengths. Some within the visible spectrum and some outside of it.} \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Reflection and transmission of waves occur at any change in medium that the waves travel through.} \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
The law of reflection & The angle of incident light is equal to the reflected light \tn 
% Row Count 8 (+ 3)
% Row 3
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Ray diagrams can be drawn to locate the position of the image} \tn 
% Row Count 10 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Light bends in relation to the normal when the medium changes.} \tn 
% Row Count 12 (+ 2)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Fast - Slow - Towards} \tn 
% Row Count 13 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Slow - Fast - Away} \tn 
% Row Count 14 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Refractive index and optical density both have an effect on light speed.} \tn 
% Row Count 16 (+ 2)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{The critical angle is when the refracted ray is 90 degrees to the normal. Meaning no light enters the second medium.} \tn 
% Row Count 19 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Vectors vs Scalars}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Scalars - Physical quantities with magnitude but no direction. Scalars can be negative. Some examples are temperature, speed, energy and time. \newline % Row Count 3 (+ 3)
Vectors - Physical quantities with both magnitude and direction. Examples include forces, displacement, velocity and acceleration.% Row Count 6 (+ 3)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.64241 cm} x{3.33459 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Useful equation}}  \tn
% Row 0
\SetRowColor{LightBackground}
Gravity & {\emph{F=mg}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
2nd Law & {\emph{F= ma}} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Velocity & {\emph{v= u + at}} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
Displacement & {\emph{v= ut + 1/2 at\textasciicircum{}2\textasciicircum{}}} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Other & {\emph{v\textasciicircum{}2\textasciicircum{}=u\textasciicircum{}2\textasciicircum{}+2as}} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
Kinetic energy & {\emph{KE=1/2mv\textasciicircum{}2\textasciicircum{}}} \tn 
% Row Count 7 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Thermal change & {\emph{Q=mc(T2-T1)}} \tn 
% Row Count 9 (+ 2)
% Row 7
\SetRowColor{white}
Ohm's Law & {\emph{V=IR}} \tn 
% Row Count 10 (+ 1)
% Row 8
\SetRowColor{LightBackground}
Power & {\emph{P=VI}}, {\emph{P=I\textasciicircum{}2\textasciicircum{}R}}, {\emph{P=V\textasciicircum{}2\textasciicircum{}/R}} \tn 
% Row Count 12 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{v = final velocity \newline u = initial velocity \newline a = acceleration \newline g = gravitational acceleration \newline t = time \newline P = power \newline V = Voltage \newline I = Current \newline R = Resistance \newline T = temperature \newline c = heat capacity \newline s = distance}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.4931 cm} x{3.4839 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Waves}}  \tn
% Row 0
\SetRowColor{LightBackground}
Logitudinal waves & Contractions caused by pushing and pulling \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Transverse waves & Waves caused by up and down motions \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Frequency & Number of crests in a given time \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
Period & Time between two identical points on a wave \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Wavelength & Distance between two crests \tn 
% Row Count 9 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Speed increases in lower density and higher force mediums} \tn 
% Row Count 11 (+ 2)
% Row 6
\SetRowColor{LightBackground}
\seqsplit{Superposition} & Sum of the two waves at a specific point \tn 
% Row Count 13 (+ 2)
% Row 7
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Wavelength multiplied by frequency is equal to speed of the wave} \tn 
% Row Count 15 (+ 2)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{If speed increases frequency stays constant, amplitude} \tn 
% Row Count 17 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.24425 cm} x{3.73275 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Motion}}  \tn
% Row 0
\SetRowColor{LightBackground}
Time & Total time that has passed since t=0 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Time interval & Difference between two times \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Distance & Movement of object including double backs (Scalar) \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
Position & Location of an object relative to origin (Vector) \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{Displacement} & A change in position (Vector) \tn 
% Row Count 10 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{p{0.4977 cm} x{4.4793 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Energy}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Energy can be transferred across system boundaries through work, heat flow, or particle transfer.} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Work & External forces cause movement in a system. Positive work causes movement in the same direction. \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Initial energy and work must always be equal to final energy.} \tn 
% Row Count 7 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{0.9954 cm} x{3.9816 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Methods of heat transfer}}  \tn
% Row 0
\SetRowColor{LightBackground}
\seqsplit{Radiation} & Transferred through collision of particles \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\seqsplit{Convection} & Occurs in fluids and relies on changes of density during heating. \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{Radiation} & Heat travelling in infrared waves that can pass through vacuums. \tn 
% Row Count 7 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.54287 cm} x{3.43413 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Electricity}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Positive charges can attract neutral objects} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Voltage & potential difference - work done per unit charge \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Ohmic vs non-ohmic & Ohmic resistors have constant resistant irrespective to the voltage across. \tn 
% Row Count 6 (+ 3)
% Row 3
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{In series the voltage changes across resistors and bulbs. Current stays constant.} \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{In parallel current splits and voltage stays constant. The more resistance you add in parallel the more current will flow.} \tn 
% Row Count 11 (+ 3)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{5.377cm}}{Voltage can be calculated by finding the previous voltage and subtracting IR of the resistor.} \tn 
% Row Count 13 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}