[tex]1.\\Dane:\\v_{o} = 0\\a = 5\frac{m}{s^{2}}\\t = 2 \ s\\Szukane:\\v = ?\\s = ?\\\\\\v = at\\\\v = 5\frac{m}{s^{2}}\cdot 2 \ s\\\\\boxed{v = 10\frac{m}{s}}\\\\\\s = \frac{1}{2}at^{2}\\\\s = \frac{1}{2}\cdot5\frac{m}{s^{2}}\cdot(2 \ s)^{2}\\\\\boxed{s = 10 \ m}[/tex]
[tex]2.\\Dane:\\v_{o} = 0\\a = 3\frac{m}{s^{2}}\\t = 4 \ s\\Szukane:\\v = ?\\s = ?\\\\\\v = at\\\\v = 3\frac{m}{s^{2}}\cdot4 \ s\\\\\boxed{v = 12\frac{m}{s}}\\\\\\s = \frac{1}{2}at^{2}\\\\s = \frac{1}{2}\cdot3\frac{m}{s^{2}}\cdot(4 \ s)^{2}\\\\\boxed{s = 24 \ m}[/tex]
[tex]3.\\s = \frac{at^{2}}{2} \ \ /\cdot 2\\\\at^{2} = 2s \ \ /:t^{2}\\\\\boxed{a = \frac{2s}{t^{2}}}\\\\\\s = \frac{at^{2}}{2} \ \ /\cdot 2\\\\at^{2} = 2s \ \ /:a\\\\t^{2} = \frac{2s}{a}\\\\\boxed{t = \sqrt{\frac{2s}{a}}}[/tex]
