[tex]Dane:\\v_{o} = 15\frac{m}{s}\\h = 15 \ m\\g = 10\frac{m}{s^{2}}\\Szukane:\\v_{h} = ?[/tex]
Rozwiązanie
[tex]E_{ko} = E_{p} + E_{kh}\\\\\frac{1}{2}mv_{o}^{2} = mgh+\frac{1}{2}mv_{h}^{2} \ \ /\cdot\frac{2}{m}\\\\v_{o}^{2}=2gh+v_{h}^{2}\\\\v_{h}^{2} = v_{o}^{2}-2gh\\\\v_{h} = \sqrt{v_{o}^{2}-2gh}}\\\\v_{h} = \sqrt{15^{2}-2\cdot10\cdot10}} \ \ [\frac{m}{s}]\\\\v_{h} = \sqrt{225-200} \ \ [\frac{m}{s}]\\\\v_{h} = \sqrt{25} \ \ [\frac{m}{s}]\\\\\boxed{v_{h} = 5\frac{m}{s}}[/tex]
