h = 25,1 m g = 9,8 m/s² Δt = 1s [latex]h = V*Delta t + frac{g(Delta t )^2}{2} [/latex] [latex]h - frac{g* (Delta t )^2}{2 } = V * Delta t /:Delta t [/latex] [latex]V = frac{h}{Delta t } - frac{gDelta t}{2} [/latex] [latex]V = frac{25,1 m }{1 s } - frac{9,8 frac{m}{s^2} * 1 s }{2} = 20,2 frac{m}{s} [/latex] [latex]V_k = V + g *Delta t [/latex] [latex]V_k = 20, 2 frac{m}{s } + 9,8 frac{m}{s^2 } * 1 s = 30 frac{m}{s} [/latex] [latex]V_k = g * t_s ................... extgreater t_s = frac{V_k}{g} [/latex] [latex]t_s = frac{30 frac{m}{s} }{9,8 frac{m}{s^2} } = 3,06 s = 3 s [/latex] [latex]H = frac{g * t_s^2}{2} [/latex] [latex]H = frac{9,8 frac{m}{s^2} * ( 3 s )^2}{2} = 44,1 m [/latex]
