Question

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

Answer 1

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