\(\(\( (*\ 
      Solution\ Problem\ 7.12 . 
Set\ the\ values\ of\ the\ various\ parameters\ *) \)\(
\)\(\(a\  = \ 
        0.01;\)

    \(g\  = \ 9.8;\)

    \(r0\  = \ 10;\)


    \(ParametricPlot[{\((r0\ Cosh[
                    a\ t]\  + \ \((g/\((2\ a^2)\))\)*\((Sin[a\ t]\  - \ 
                      Sinh[a\ t])\))\)\ Cos[
              a\ t], \((r0\ Cosh[
                    a\ t]\  + \ \((g/\((2\ a^2)\))\)*\((Sin[a\ t]\  - \ 
                      Sinh[a\ t])\))\)\ Sin[a\ t]}, {t, \ 0, \ 
          10}, \ 
PlotRange -> {{0, 12}, {0, 
              1}}, 
AxesLabel\  -> \ {"x (m)", "y (m)"}];\)\)\)\)