\begin{tikzpicture}[scale = 0.5]
    \draw  (0,4.5) -- (5.5,0);
    \fill[green!50] (0,0) rectangle (4,1);
    \fill[green!50] (0,1) rectangle (3,2);
    \fill[green!50] (0,2) rectangle (1,3);
    \draw[step=1cm,gray,very thin] (0,0) grid (6,5);
    \draw[->, very thick] (3,45/22) -- (3+9/20, 45/22 + 11/20);
    \node[label=above:$v$] at (3+9/40,11/40+45/22) (int1) {};
 \end{tikzpicture}