[latex]h = 20 m[/latex] [latex]V = 10 frac{m}{s} [/latex] [latex]h = frac{gt^2}{2} [/latex] [latex]2 h = gt^2[/latex] [latex]t^2 = frac{2 h}{g} [/latex] [latex]t = sqrt{ frac{2 h}{g} } [/latex] [latex]t = sqrt{ frac{40m}{10 frac{m}{s^2} } } [/latex] t = 2 s h = 20 m V = ? t = 2 s [latex]V = gt[/latex] [latex]V = 10 frac{m}{s} *2[/latex] [latex]V = 20 frac{m}{s} [/latex] UWAGA! Wyliczenia przy założeniu grawitacji = 10 [latex] frac{m}{s^2} [/latex] 110 [latex] frac{km}{h} [/latex] = 30,5 - 5 w okresie [latex] frac{m}{s} [/latex]
[latex]1.\dane:\v = 10frac{m}{s}\H = 20 m\g = 10frac{m}{s^{2}}\szukane:\v_{o} = ?[/latex] [latex]Z zasady zachowania energii:\\E_{p} = E_{k}\\mgH = frac{mv_{o}^{2}}{2} |*frac{2}{m}\\v_{o}^{2} = 2gH\\v_{o} = sqrt{2gH}}=sqrt{2*10frac{m}{s^{2}}*20m} = sqrt{400} frac{m}{s}\\v_{o} = 20frac{m}{s}[/latex] [latex]2.\\110frac{km}{h} = 110*frac{1000m}{3600s} = 30,(5) frac{m}{s}[/latex]