Explanation:
Let i, j and k represents east, north and upward direction respectively.
Velocity due north, [tex]v_a=44j\ mi/hr[/tex]
Velocity of the crosswind, [tex]v_w=44i\ mi/hr[/tex]
Velocity of downdraft, [tex]v_d=-22k\ mi/hr[/tex] (downward direction)
(a) Let v is the position vector that represents the velocity of the plane relative to the ground. It is given by :
[tex]v=44i+44j-22k[/tex]
(b) The speed of the plane relative to the ground can be calculated as :
[tex]v=\sqrt{44^2+44^2+22^2}[/tex]
v = 66 m/s
Hence, this is the required solution.
