Як виразить "t" з формули S=V₀t+\frac{a t^{2} }{2}

$[tex]S=V_0t+\frac{at^2}{2}\\\frac{at^2}{2}=S-V_0t\\at^2=2(S-V_0t)\\t^2=\frac{2(S-V_0t)}{a}\\t=\sqrt{\frac{2(S-V_0t)}{a}}\\\\S=V_0t+\frac{at^2}{2}=\frac{2V_0t+at^2}{2}\\2S=2V_0t+at^2=t(2V_0+at)\\t=\frac{2S}{2V_0+at}\\\\S=V_0t+\frac{at^2}{2}\\V_0t=S-\frac{at^2}{2}=\frac{2S-at^2}{2}\\t=\frac{2S-at^2}{2}:V_0=\frac{2S-at^2}{2V_0}$ [/tex]