zad.1. V₁ = 60 km/h V₂ = 80 km/h a) V = V₂ - V₁ V = 80 km/h - 60 km/h = 20 km/h b) V = V₁ + V₂ V = 60 km/h + 80 km/h = 140 km/h zad.2 a = 3 m/s² V = 3 m/s ( w każdej sekundzie ruchu zwiększa prędkość ) zad.3. s₁ = 10 km t₁ = 0,5 h s₂ = 30 km t₂ = 2 h s₃ = 5 km t₃ = 0,5 h [latex]V_s_r = frac{s_1+s_2+s_3}{t_1 + t_2 + t_3} [/latex] [latex]V_s_r = frac{10 km + 30 km + 5 km }{0,5 h + 2 h + 0,5 h } = frac{45 km}{3 h } = 15 frac{km}{h} [/latex] [latex]V_s_r = 15 frac{km}{h} = 15* frac{1000m }{3600 s } = 4,17 frac{m}{s} [/latex]
[latex]1.\v_1 = 60frac{km}{h}\v_2 = 80frac{km}{h}\\a)\v_{wzgl} = v_2 - v_1 = 80frac{km}{h} - 60frac{km}{h} = 20frac{km}{h}\\b)\v_{wzgl}=v_1+v_2 = 60frac{km}{h}+80frac{km}{h} = 140frac{km}{h}[/latex] 2. Jeżeli przyspieszenie wynosi: a = 3m/s², to znaczy, że w każdej sekundzie ruchu predkość ciała wzrasta o 3 m/s. [latex]3.\dane:\s_1 = 10 km\t_1 = 0,5 h\s_2 = 30 km\t_2 = 2 h\s_3 = 5 km\t_3 = 0,5 h\szukane:\v_{sr} = ?[/latex] [latex]v_{sr} = frac{s_{c}}{t_{c}}\\s_{c} = s_1+s_2+s_3\t_{c} = t_1+t_2+t_3\\v_{sr} = frac{s_1+s_2+s_3}{t_1+t_2+t_3}\\v_{sr} = frac{10km+30km+5km}{0,5h+2h+0,5h} = frac{45km}{3h} = 15frac{km}{h}\\15frac{km}{h} = 15cdotfrac{1000m}{3600s} = 4,1(6)frac{m}{s}approx4,17frac{m}{s}\\v_{sr} = 15frac{km}{h} approx4,17frac{m}{s}[/latex]