Vo = 0 s = 52 m s = s₇ - s₆ [latex]s = frac{at_7^2}{2} - frac{at_6^2}{2} = frac{a}{2} ( t_7^2 - t_6^2) [/latex] [latex]52 m = frac{a}{2 } [ (7 s )^2 - (6 s )^2 ] /*2 [/latex] [latex]2 * 52 m = a ( 49 s^2 - 35 s^2 ) [/latex] [latex]104 m = a * 13 s^2[/latex] [latex]a = frac{104 m }{13 s^2} = 8 frac{m}{s^2} [/latex] a) w 4 sekundzie [latex]s = s_4 - s_3[/latex] [latex]s = frac{a}{2 } (t_4 ^2 - t_3^2 ) [/latex] [latex]s = frac{8 frac{m}{s^2} }{2 } * [ (4s )^2 - (3 s )^2 ] = 4 frac{m}{s^2} * 7 s ^2 = 28 m [/latex] b) w 4 pierwszych sekundach [latex]s = frac{at^2}{2} [/latex] [latex]s = frac{8 frac{m}{s^2} * (4 s )^2 }{2} = 64 m [/latex] c) w 6 sekundzie s = s₆ - s₅ [latex]s = frac{a}{5 } * ( t_6 ^2 - t_5^2 )[/latex] [latex]s = frac{8 frac{m}{s^2} }{2 } [ ( 6 s )^2 - (5 s )^2 ] = 4 frac{m}{s^2} * 11 s^2 = 44 m [/latex] d) przez 2 sekundy [latex]s = frac{at^2}{2} [/latex] [latex]s = frac{8 frac{m}{s^2 } * ( 2 s )^2}{2} = 16 m [/latex]
