Respuesta1
Mira, si puedes aprender algo, por ejemplo, a continuación:
\documentclass[tikz, border=3mm]{standalone}
\begin{document}
\begin{tikzpicture}
\draw[->] (0,0) -- + (77mm,0) node[below left] {$t$};
\draw[->] (0,3) -- + (77mm,0) node[below left] {$t$};
\draw[->] (1,-0.1) -- + (0,66mm) node[below left] {$u$};
%
\draw (6,3.1) -- + (0,-0.2) node[below] {$t_{\max}$};
\draw (6,0.1) -- + (0,-0.2) node[below] {$t_{\max}$};
%
\draw[blue,very thick] (1,5) node[left] {$u_1$} -| (3,3) node[below] {$t_1$};
%
\draw[blue,very thick] (1,2) node[left] {$u_2$} -- + (0.2,0);
\draw[blue,very thick] (3,0) |- (5,2) -- (5,0) node[below] {$t_2$};
\end{tikzpicture}
\end{document}