Kinematic graph

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% Author: Izaak Neutelings (June 2020)
% Inspiration: https://tex.stackexchange.com/questions/285578/how-to-draw-parallelepiped-and-cube-with-latex/288101#288101
\documentclass[border=3pt,tikz]{standalone}
\usepackage{amsmath}
\usepackage{siunitx}
\usepackage{physics}
\tikzset{>=latex} % for LaTeX arrow head
\colorlet{myblue}{blue!70!black}
\colorlet{mydarkblue}{blue!40!black}
\colorlet{mygreen}{green!60!black}
\colorlet{myred}{red!65!black}
\colorlet{mypurple}{red!50!blue!95!black!75}
\tikzstyle{wave}=[myblue,thick]
\tikzstyle{xline}=[very thick,myblue]
\tikzstyle{vline}=[very thick,mygreen]
\tikzstyle{aline}=[very thick,mypurple]
\tikzstyle{mydashed}=[mydarkblue,dashed]
\def\tick#1#2{\draw[thick] (#1) ++ (#2:0.1) --++ (#2-180:0.2)}
\def\tlabel{$t\,\left[\si{s}\right]$}
\def\vlabel{$v\,\left[\si{m/s}\right]$}
\def\alabel{$a\,\left[\si{m/s^2}\right]$}
\begin{document}
% VELOCITY
\def\xmax{5.5} % maximum x axis (time)
\def\ymax{3.0} % maximum y axis (velocity)
\def\tmax{16} % maximum time on x axis
\begin{tikzpicture}
  \def\vmax{10} % maximum velocity on x axis
  \def\xscale{\xmax/\tmax}
  \def\yscale{\ymax/\vmax}
  
  % GRID
  \foreach \t in {0,2,...,\tmax}{
    \draw[black!80,dotted] (\t*\xscale,0) --++ (0,\vmax*\yscale+0.3);
    \tick{\t*\xscale,0}{90} node[below=-1,scale=0.77] {\t};
  }
 
 
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