Points \( A \) and \( C \) are on the horizontal ground and \( A \) and \( B \) are in same vert...

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Points \( A \) and \( C \) are on the horizontal ground and \( A \) and \( B \) are in same vertical plane at a distance of \( 1500 \mathrm{~m} \). Simultaneously bullets are fired from \( A, B \) and \( C \) and they collide at \( O \). The bullet
\( \mathrm{P} \) at \( B \) is fired at an angle of \( 30^{\circ} \) with horizontal towards the ground

W at velocity \( 100 \mathrm{~m} / \mathrm{s} \). The bullet at \( C \) is projected vertically upward at velocity of \( 100 \mathrm{~m} / \mathrm{s} \). The bullet projected from \( A \) reaches its maximum height at \( O \).
Find the velocity of bullet at \( A \) :
(1) \( 50 \mathrm{~m} / \mathrm{s} \)
(2) \( 50 \sqrt{7} \mathrm{~m} / \mathrm{s} \)
(3) \( 60 \sqrt{7} \mathrm{~m} / \mathrm{s} \)
(4) \( 60 \mathrm{~m} / \mathrm{s} \)
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