\(\frac{1}{2}\,\,mv_0^2\,\, + \;\,\frac{1}{2}m{\left( {\frac{{{v_0}}}{2}} \right)^2}\, = \,\,mg\,\,\frac{\ell }{2}\,\, + \;\,mg\ell \)
અથવા \(\frac{{\text{5}}}{{\text{8}}}\,\,mv_0^2\,\, = \,\,\frac{3}{2}\,\,mg\ell \,\, \Rightarrow \,\,{v_0}\,\, = \,\,\sqrt {\frac{{12g\ell }}{5}} \)