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Two particle $$A$$ and $$B$$ are moving towards each other on a straight line with equal speeds $$5 m/s$$. At an instant that is assumed $$t = 0s$$, distance between the particles is $$100 m$$. It is desired to move another particle $$C$$ always maintaining a distance $$40 m$$ from the particle $$A$$ and $$30 m$$ from the particle $$B$$.
At the instant, when the line joining locations of $$A$$ and $$B$$ is perpendicular to the line joining locations of $$B$$ and $$C$$, what are the magnitudes of velocities of $$C$$ relative to $$A$$ and $$B$$ respectively?

A
$$3.75m/s$$ and $$10m/s$$
B
$$0m/s$$ and $$5m/s$$
C
$$0m/s$$ and $$10m/s$$
D
$$3.75m/s$$ and $$0m/s$$
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Solution
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Correct option is B. $$0m/s$$ and $$10m/s$$

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