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Q. Ram moves in east direction at a speed of $6\, m / s$ and Shyam moves $30^{\circ}$ east of north at a speed of $6\, m / s$. The magnitude of their relative velocity is

Motion in a Plane

Solution:

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$\left|\vec{V}_{R S}\right|=\sqrt{V_{R}^{2}+V_{S}^{2}-2 V_{R} V_{S} \cos \theta}$
$=\sqrt{6^{2}+6^{2}-2 \times 6^{2} \times \frac{1}{2}}$
$=6\, ms ^{-1}$
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