Odpowiedź:
1.
Szybkość 14.13m/s
Prędkość średnia = 3m/s
2. Prędkość wiatru = 7 m/s
Prędkość gołebia = 13m/s
Wyjaśnienie:
1.
[tex]r = 30cm\\t=20s\\L = 2\pi r\\s = 1.5L\\s = 1.5 * 2\pi r\\s = 3\pi r\\s = 3*3.14*30m\\s = 282.6m\\v = \frac{s}{t}\\v = \frac{282.2m}{20s} \\v = 14.13 \frac{m}{s}[/tex]
Δr = 2r
Δr = 2 * 30m
Δr = 60m
vśr = Δr/Δt
vśr = 60m/20s
vśr = 3 m/s
2.
[tex]v_{1} = 72 \frac{km}{h} = 72 * \frac{1000}{3600} = 20\frac{m}{s}\\v_{2} = 6 \frac{m}{s}\\\\\\v_{1} = v_{w} + v_{g}\\v_{2} = v_{g} - v_{w}\\\\[/tex]
[tex]\left \{ {{v_{1} = v_{w} + v_{g}} \atop {v_{2} = v_{g} - v_{w}}} \right. \\\left \{ {{20 = v_{w} + v_{g}} \atop {6 = v_{g} - v_{w} /+v_{w}}} \right. \\\left \{ {{20 = v_{w} + v_{g}} \atop {6 + v_{w} = v_{g}}} \right. \\\left \{ {{20 = 2v_{w} + 6 / -6} \atop {v_{g} = 6 + v_{w}}} \right. \\\left \{ {{14 = 2v_{w} / :2} \atop {v_{g} = 6 + v_{w}}} \right.\\\left \{ {v_{w} = 7} \atop {v_{g} = 6 + v_{w}}} \right.\\\left \{ {{v_{w} = 7} \atop {v_{g} = 6 + 7}} \right.\\[/tex]
[tex]\left \{ {{v_{w} = 7} \atop {v_{g} = 13}} \right.\\\left \{ {{v_{w} = 7\frac{m}{s} } \atop {v_{g} = 13\frac{m}{s} }} \right.\\[/tex]
pozdro b+
