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 angle of \( 30^{\circ} \) with horizontal towards the ground at velocity \( 100 \mathrm{~m} / \mathrm{s} \). The bullet at \( C \) is projected vertically upward
W at velocity of \( 100 \mathrm{~m} / \mathrm{s} \). The bullet projected from \( A \) reaches its maximum height at \( O \).
Find the time in which bullets will collide (seconds):
(1) 10
(2) 15
(3) 20
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