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% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
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% Document Info
\author{anjuscha}
\pdfinfo{
  /Title (one-and-two-dimensional-motion.pdf)
  /Creator (Cheatography)
  /Author (anjuscha)
  /Subject (One and two dimensional motion 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}}
    }
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{One and two dimensional motion Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{anjuscha} via \textcolor{DarkBackground}{\uline{cheatography.com/125991/cs/24592/}}}
\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}anjuscha \\
  \uline{cheatography.com/anjuscha} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 1st October, 2020.\\
   Updated 1st October, 2020.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
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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
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% 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{1.94103 cm} x{3.03597 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Speed and Velocity}}  \tn
% Row 0
\SetRowColor{LightBackground}
speed & the distance traveled per unit of time. Speed is a scalar, a quantity that is described by magnitude alone. Constant speed refers to a fixed distance per unit of time. Average speed includes the total distance and total time. \tn 
% Row Count 10 (+ 10)
% Row 1
\SetRowColor{white}
velocity & the displacement of an object per unit of time. Since displacement includes a direction, so does velocity. Speed with direction. Velocity is a vector a quantity that has both magnitude and direction. \tn 
% Row Count 19 (+ 9)
% Row 2
\SetRowColor{LightBackground}
vector & a quantity that has both magnitude and direction \tn 
% Row Count 21 (+ 2)
% Row 3
\SetRowColor{white}
reference frame & the position from which an event is observed \tn 
% Row Count 23 (+ 2)
% Row 4
\SetRowColor{LightBackground}
motion map & an image that represents the position, velocity, and acceleration of an object at one-second intervals \tn 
% Row Count 28 (+ 5)
% Row 5
\SetRowColor{white}
scalar & a quantity that is described by magnitude alone \tn 
% Row Count 30 (+ 2)
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\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{1.94103 cm} x{3.03597 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Speed and Velocity (cont)}}  \tn
% Row 6
\SetRowColor{LightBackground}
Motion and reference frame & All motion is relative. It depends on a reference frame. An object may appear to move faster or slower depending on the reference frame. \tn 
% Row Count 6 (+ 6)
% Row 7
\SetRowColor{white}
average velocity & The slope of a line changes when the velocity of an object changes -\textgreater{} The steeper the slope, the greater the velocity. The average velocity will be different than any of the other. Any point on the line will give only an instantaneous velocity. \tn 
% Row Count 17 (+ 11)
% Row 8
\SetRowColor{LightBackground}
change in direction & A change in direction is represented when the line on a position-time graph changes from a positive slope to a negative. slope or from a negative slope to a positive slope. A negative slope indicates an object moving towards the origin. A positive slope indicates an object moving away from the origin. \tn 
% Row Count 30 (+ 13)
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Speed and Velocity (cont)}}  \tn
% Row 9
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No motion & horizontal line - means object is not moving -\textgreater{} The object's position does not change \tn 
% Row Count 4 (+ 4)
% Row 10
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Motion & Displayed in a vector ! \tn 
% Row Count 5 (+ 1)
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\par\addvspace{1.3em}

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\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Formula}}  \tn
% Row 0
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speed & s = d/t -\textgreater{} 50 + 30 = 80 miles, 1+1 = 2h -\textgreater{} 80 miles/2h = 40 mph \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
velocity & v = ∆x/t \tn 
% Row Count 4 (+ 1)
% Row 2
\SetRowColor{LightBackground}
average velocity & v avg = ∆x/∆t = xf − xi/tf − ti -\textgreater{} 100 m in 10.61 s -\textgreater{} xf = 100 m, xi = 0 m, tf = 10.61 s, ti = 0 s -\textgreater{} v avg = 100 m - 0 m / 10.61 s - 0 s = 100/10.61 = 9.43 m/s \tn 
% Row Count 11 (+ 7)
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\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Acceleration}}  \tn
% Row 0
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positive acceleration & an increase in velocity over time \tn 
% Row Count 2 (+ 2)
% Row 1
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negative acceleration & a decrease in velocity over time \tn 
% Row Count 4 (+ 2)
% Row 2
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acceleration & the rate at which velocity changes over time \tn 
% Row Count 6 (+ 2)
% Row 3
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constant & staying the same; unchanging \tn 
% Row Count 8 (+ 2)
% Row 4
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Positive acceleration & speeds up in the positive direction. slows down in the negative direction \tn 
% Row Count 11 (+ 3)
% Row 5
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Negative acceleration & slow down down in the positive direction. speeds up in the negative direction. \tn 
% Row Count 14 (+ 3)
% Row 6
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Slope & of the line on a velocity vs. time graph represents acceleration. Positive slope = acceleration, negative slope = negative acceleration \tn 
% Row Count 20 (+ 6)
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{vectors}}  \tn
% Row 0
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quadrant & a quarter of the coordinate plane \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
components & the two parts of a vector that are perpendicular to each other \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
resultant vector & the sum of two or more vectors \tn 
% Row Count 7 (+ 2)
% Row 3
\SetRowColor{white}
vector resolution & the process by which the components of a vector are determined \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Properties of a vector & A vector is a quantity that has both magnitude and direction. Examples of vectors: Displacement, velocity, acceleration. Vectors are drawn using an arrow \tn 
% Row Count 16 (+ 6)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
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\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{The sign of a component depends on the quadrant of the coordinate \newline system it is in.}  \tn 
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\begin{tabularx}{5.377cm}{x{1.4931 cm} x{3.4839 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Projectile Motion}}  \tn
% Row 0
\SetRowColor{LightBackground}
projectile & an object that is set in motion following a path in which the only force acting on it is gravity. \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
inertia & the natural tendency of objects to resist a change in motion \tn 
% Row Count 7 (+ 3)
% Row 2
\SetRowColor{LightBackground}
projectile motion & the curved motion that results from the combination of an object's horizontal inertia and the force due to gravity pulling the object downward. I.e. A ball rolling of the table, A player shooting a jump shot -\textgreater{} Projectiles follow a parabolic path \tn 
% Row Count 16 (+ 9)
% Row 3
\SetRowColor{white}
parabolic & having the shape of a parabola \tn 
% Row Count 18 (+ 2)
% Row 4
\SetRowColor{LightBackground}
vectors & Vectors are used to describe motion in two dimensions. Vectors can be broken down into x and y components. The components of a vector are the two parts of a vector that are perpendicular to each other \tn 
% Row Count 26 (+ 8)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Add}}  \tn
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Horizontal}}  \tn
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\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anjuscha_1601582196_Screen Shot 2020-10-01 at 3.55.18 PM.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Horizontal example}}  \tn
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\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anjuscha_1601582219_Screen Shot 2020-10-01 at 3.55.42 PM.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{continued}}  \tn
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}


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

\end{document}
