% Autor: X. Rendtel 
% Letzte Aenderung: 2008 
 
\documentclass[10pt, a4paper]{article}
\usepackage[utf8x]{inputenc}
\usepackage[tight]{units}
\usepackage{euler,calc,pstricks,rotating}
\usepackage{pst-pdf,pst-node,xcolor}
\usepackage{graphicx,multido}
\usepackage{pst-circ,pst-func,pst-math}
\usepackage{pst-eucl,fancyhdr,pstricks-add}
\pagestyle{fancyplain}
\usepackage[greek,german]{babel}
\usepackage[LGR,T1]{fontenc}
\usepackage{mathpazo,avant,courier}
 
\newcommand{\EUR}{\textgreek{\euro}}
\input{include}
\pagestyle{empty}
\begin{document}
  
\psset{
                dotstyle   = *,
                dotsize    = 3pt,
                linewidth  = 0.8pt,
                arrowsize  = 3pt 2,
                arrowinset = 0.25,
                xunit      = 1cm,
                yunit      = 1.85cm,
                algebraic  = true} 
\begin{pspicture}(-1,-2.84054)(14.7,2.84054)
 
 \psaxes [
    comma,
    ticks     = none,
    labels     = none,
    Dx        = 1,
    Dy        = 1,
    dx        = 0pt,
    dy        = 0pt,
    Ox        = 0,
    Oy        = 0
     ]  
 {->}(0,0)(0,-2.3)(13.5,2.3) 
  
\uput{0}[-90]{0}(13.7,-0.108108){\color{black}{$t$}}
 
\uput{0}[0]{0}(0.2,2.3){\color{black}{$y$, $v$, $a$}}
 
   \psxpoint[black]{3.14}{$\frac{1}{4}T$}
 
   \psxpoint[black]{6.28}{$\frac{1}{2}T$}
 
   \psxpoint[black]{9.42}{$\frac{3}{4}T$}
 
   \psxpoint[black]{12.57}{$T$}
 
\uput{0}[l]{0}(5,2.2){\color{black}{Elongation $y(t)$}}
 
\uput{0}[l]{0}(6.28,-1.22){\color{blue}{Geschwindigkeit $v(t)$}}
 
\uput{0}[l]{0}(9.41,0.65){\color{red}{Beschleunigung $a(t)$}}
 
\psplot[
       plotpoints = 1000,
       linecolor  = black,
       linewidth  = 1pt,
       linestyle  = solid
       ]
    {0.0000}{12.5700}{2*sin(0.5*x)}
 
\psplot[
       plotpoints = 1000,
       linecolor  = blue,
       linewidth  = 1pt,
       linestyle  = solid
       ]
    {0.0000}{12.5700}{0.5*2*cos(0.5*x)}
 
\psplot[
       plotpoints = 1000,
       linecolor  = red,
       linewidth  = 1pt,
       linestyle  = solid
       ]
    {0.0000}{12.5700}{-(0.5*0.5)*2*sin(0.5*x)}
 
\end{pspicture} 
\end{document}