LaTex: a small example for physical formulas

Fig: The example formulas

Note: if the example images on this page are sometimes a bit blurry, it is because the formulas here are only pixel images, which are blurred by scaling. The generated pdf files are of course scalable without loss of quality!

The LaTex code for the formulas in the image above:

% this is a comment
\documentclass{article}
\usepackage[a4paper, total={6in, 8in}]{geometry}
\usepackage[utf8]{inputenc}        % enable unicode and utf-8
\begin{document}
\begin{flushleft}

\subsection{Der Zusammenhang zwischen Kraft und Beschleunigung}
$        % switch to formula mode
\textbf{F} = m\cdot\textbf{a}
\hspace{4mm}\Rightarrow\hspace{4mm}
\textbf{a}=\frac{1}{m}\cdot\textbf{F}
\hspace{4mm}\Rightarrow\hspace{4mm}
m=\frac{\left\|\textbf{F}\right\|}{\left\|\textbf{a}\right\|}
$        % switch back to text mode

\subsection{Strecke, Geschwindigkeit, (gleichmäßige) Beschleunigung}
$
    \textbf{v}=\dot{\textbf{d}}
    \hspace{4mm}\Rightarrow\hspace{4mm}
    \textbf{a}=\dot{\textbf{v}}
    \hspace{4mm}\Rightarrow\hspace{4mm}
    \textbf{v}=t\cdot\textbf{a}
    \hspace{4mm}\Rightarrow\hspace{4mm}
    \textbf{d}=\frac{t^2}{2}\cdot\textbf{a}
$

\end{flushleft}
\end{document}