A stone is thrown from point \( O \) on ground with velocity \( \vec{v}=5 \hat{i}+10 \hat{j} \ma...

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A stone is thrown from point \( O \) on ground with velocity \( \vec{v}=5 \hat{i}+10 \hat{j} \mathrm{~m} / \mathrm{s} \), where \( x \) is horizontal and \( y \) is vertical. Its
\( \mathrm{P} \) angular velocity about \( O \) when the stone is at maximum

W height of its trajectory, is
(1) \( \frac{1}{2} \mathrm{rad} / \mathrm{s} \)
(2) \( \frac{1}{\sqrt{2}} \mathrm{rad} / \mathrm{s} \)
(3) \( 1 \mathrm{rad} / \mathrm{s} \)
(4) \( \sqrt{2} \mathrm{rad} / \mathrm{s} \)
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