A quad-copter drone encounters a steady wind of speed blowing north of east while it…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A quad-copter drone encounters a steady wind of speed 8.0 m s−18.0\,\text{m}\,\text{s}^{-1} blowing 30∘30^{\circ} north of east while it hovers at a fixed altitude. Treat east as the +x+x direction and north as the +y+y direction. (a) Determine the numerical values of the wind’s xx and yy velocity components (in m s−1\text{m}\,\text{s}^{-1}). (b) If the wind remains constant for 5.0 s5.0\,\text{s}, calculate the drone’s displacement vector due solely to the wind during that interval, expressed in unit-vector notation. (c) Find the magnitude and compass bearing of this displacement.

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