Answer:
B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.
Explanation:
From Physics we get that resultant velocity of an airplane is the sum of an absolute velocity and a relative velocity, that is:
[tex]\vec v_{A} = \vec v_{W}+\vec v_{A/W}[/tex] (Eq. 1)
Where:
[tex]\vec v_{W}[/tex] - Wind velocity, measured in meters per second.
[tex]\vec v_{A/W}[/tex] - Airplance velocity relative to wind, measured in meters per second.
[tex]\vec v_{A}[/tex] - Airplane velocity, measured in meters per second.
If we assume that [tex]\vec v_{W} = 20\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex] (The airplane flies with the wind), [tex]\vec v_{A/W} = 130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex], then the resultant velocity of the airplane is:
[tex]\vec v_{A} = 20\,\hat{i}+130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]
[tex]\vec v_{A} = 150\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]
Therefore, correct answer is B.
