A) \[3v/2a\]
B) \[2a/5v\]
C) \[5v/3a\]
D) \[~2a/3v\]
Correct Answer: D
Solution :
[d] The motions of the points are sketched in the figure. As they start moving simultaneously symmetrically; they will meet at the centroid of the triangle. |
The velocity of any point towards centroid of triangle O \[\text{=}\,\text{v cos}\,\text{30}{}^\circ =\frac{\sqrt{3}\text{v}}{2}.\] |
And its displacement \[=\frac{a/2}{\cos 30{}^\circ }=\frac{a}{\sqrt{3}}.\]. |
Time taken to coverage the points \[=\frac{\text{displacement}}{\text{velocity}}=\frac{2a}{3v}.\] |
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