A particle \( A \) is projected with speed \( v_{A} \) from a point making an angle \( 60^{\circ...

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A particle \( A \) is projected with speed \( v_{A} \) from a point making an angle \( 60^{\circ} \) with the horizontal. At the same instant, a second particle \( B \) is thrown vertically upward from a point directly below the maximum height point of parabolic path of \( A \) with velocity \( v_{B} \). If the two particles collide then the ratio of \( v_{A} / v_{B} \) should be :-
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