Mechanics M1

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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

• Mechanics M1 -

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

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