Question

An airplane is flying due north at 300 metres per second and a Westley wind of 25 metres per second is blowing it off course.calculate the velocity and directions of the plane relative to the ground?

Answer 1

Find the velocity and direction of the plane relative to the ground:

$$v=\sqrt{v_x^2+v_y^2}=\sqrt{300^2+25^2}=301\text{ m/s},\\\space\\ \theta=\arctan\frac{v_y}{v_x}=4.76°\text{ W of N}.$$