[tex]s = v_{o}t + \frac{at^{2}}{2}\\\\ale \ \ a = \frac{\Delta v}{t} = \frac{v-v_{o}}{t}\\\\s = v_{o}t + \frac{v-v_{o}}{2t}\cdot t^{2}\\\\s = v_{o}t + \frac{v-v_{o}}{2}\cdot t \ \ /\cdot 2\\\\2v_{o}t + (v-v_{o})t = 2s\\\\t(2v_{o}+v-v_{o}) = 2s\\\\t(v_{o}+v) = 2s \ \ /:(v_{o}+v)\\\\t = \frac{2s}{v_{o}+v}[/tex]
