s₂ - s₁ = s s = 5 m t = 4 s V = ? 1, obl. przyspieszenie [latex]s = frac{at^2}{2} [/latex] [latex] frac{at_2^2}{2 } - frac{at_1^2}{2 } = s [/latex] [latex] frac{a}{2} ( t_2^2 - t_1^2 ) = s /*2 a ( t_2^2 - t_1^2 ) = 2 s [/latex] [latex]a = frac{2s}{t_2^2 - t_1^2} [/latex] [latex]a = frac{2 *5 m }{( 2s)^2 - (1 s)^2 } = frac{10m }{3s^2} = 3,3 frac{m}{s^2} [/latex] [latex]V = a * t [/latex] [latex]V = 3.3 frac{m}{s^2} * 4 s = 13,2 frac{m}{s} [/latex] zad.2. s₅ - s₄ = s s = 25 m 1. obl. przyspieszenie ; przekształcenie wzoru jak w zad. poprzednim [latex]a = frac{2s}{t_5 ^2 - t_4^2} [/latex] [latex]a = frac{2 *25 m }{(5 s )^2 - (4s )^2 } = frac{50 m }{9s^2} = 5,6 frac{m}{s^2} [/latex] [latex]s_2 - s_1 = frac{a}{2 } * ( t_2^2 - t_1^2 )[/latex] [latex]s_2 - s_1 = frac{5,6 frac{m}{s^2 } }{2 } * [ (2s)^2 - (1 s )^2 ] = 8,4 m [/latex] [latex]s_3 - s_2 = frac{a}{2 } * [ t_3^2 - t_2^2 ] [/latex] [latex]s_3 - s_2 = frac{5,6 frac{m}{s^2 } }{2} * [ ( 3 s )^2 - ( 2 s )^2 ] = 14 m[/latex]
