The displacement time graphs of two particles A and \( \mathrm{B} \) are straight lines making a....

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The displacement time graphs of two particles A and \( \mathrm{B} \) are straight lines making angles of
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respectively \( 30^{\circ} \) and \( 60^{\circ} \) with the time axis. If the
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velocity of \( A \) is \( v_{A} \) and that of \( B \) is \( v_{B} \), then the value of \( \frac{\mathrm{v}_{\mathrm{A}}}{\mathrm{v}_{\mathrm{B}}} \) is
(A) \( \frac{1}{2} \)
(B) \( \frac{1}{\sqrt{3}} \)
(C) \( \sqrt{3} \)
(D) \( \frac{1}{3} \)


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