Wyznacz wskazane niewiadome: S=at2(kwadrat)/2 (wyzn. t) S=Vot+at2/2 (wyzn. a) 1/x+1/y=1/f

1. [latex]s=frac{1}{2}at^{2}quad/:frac{a}{2}[/latex] [latex]2as=t^{2}implies t= sqrt{2as} [/latex] 2. [latex]s=V_0t+ frac{1}{2} at^{2}quad/-V_0t[/latex] [latex]s-V_0t= frac{1}{2} at^{2}quad/* frac{2}{t^{2}} [/latex] [latex]a= frac{2(s-V_0t)}{t^{2}} [/latex] 3. [latex] frac{1}{x} + frac{1}{y} = frac{1}{f} quad/*xyf[/latex] [latex]yf+xf=xyimplies xf-xy=yfimplies x(f-y)=fyquad/:(f-y)[/latex] [latex]x= frac{fy}{f-y} [/latex]