A marathon participant (R) is running north at a speed (v_{R}=10 mathrm{mi} / mathrm{hr}). A wind is

Question:

A marathon participant $R$ is running north at a speed $v_{R}=10 \mathrm{mi} / \mathrm{hr}$. A wind is blowing in the direction shown at a speed $v_{W}=15 \mathrm{mi} / \mathrm{hr}$.

(a) Determine the velocity of the wind relative to the runner.

(b) Repeat for the case when the runner is moving directly to the south at the same speed. Express all answers both in terms of the unit vectors $\mathbf{i}$ and $\mathbf{j}$ and as magnitudes and compass directions.

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