A child is splaying with a toy aero plane. the aero plane is flying with velocity (6i + 2j)m/s. A breeze begin to blow with velocity 0.5j m/s affecting the motion of the aero plane.

Question

A child is splaying with a toy aero plane. the aero plane is flying with velocity (6i  +  2j)m/s. A breeze begin to blow with velocity 0.5j m/s affecting the motion of the aero plane. 
a) find the magnitude of the resultant velocity of the plane
b) find the angle this resultant velocity makes with the unit vector i

Steve · Answer

(6,2) + (0,.5) = (6,2.5) |6,2.5| = 6.5 tanθ = 2.5/6 θ = 22.6°