\(P\,\, = \,\,mav\,\, \Rightarrow \,\,a\,\, = \,\,\frac{P}{{mv}}\,\, \Rightarrow \,\,v\,\,\frac{{dv}}{{ds}}\,\, = \,\,\frac{P}{{mv}}\)

અથવા \({v^2}dv\,\, = \,\frac{P}{m}ds\,\, \Rightarrow \,\,\frac{P}{m}\,\,\int\limits_0^s {ds} \,\, = \,\,\int\limits_{{v_1}}^{{v_2}} {{v^2}\,\,dv} \)

અથવા \(\,\frac{P}{m}\,\,\left( s \right)\,\, = \,\,\frac{1}{3}\,\,\left( {v_2^3\,\, - \,\,v_1^3} \right)\,\, \Rightarrow \,\,s\,\, = \,\,\frac{m}{{3P}}\,\,\left( {v_2^3\,\, - \,\,v_1^3} \right)\)