Physics

Problem

Three particles move on a horizontal plane with the following velocities:

\vec v_A = 30\,\text{m\,s}^{-1}

due east,

\vec v_B = 20\,\text{m\,s}^{-1}

30^\circ

north of east, and

\vec v_C = 25\,\text{m\,s}^{-1}

due south. a. Find the velocity of A relative to B, expressing your answer as magnitude and direction. b. Find the velocity of B relative to C. c. Using your results, obtain the velocity of A relative to C.

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