A spotlight \( S \) moves in a horizontal plane with a constant angular velocity of \( 0.1 \math...

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A spotlight \( S \) moves in a horizontal plane with a constant angular velocity of \( 0.1 \mathrm{rad} / \mathrm{s} \). The spotlight \( P \) moves along the wall at a distance \( 3 \mathrm{~m} \). When line \( S P \) makes an angle \( 45^{\circ} \) with the wall, the velocity of spotlight \( P \) is
(A) \( 0.3 \mathrm{~m} / \mathrm{s} \)
(B) \( 0.6 \mathrm{~m} / \mathrm{s} \)
(C) \( 0.8 \mathrm{~m} / \mathrm{s} \)
(D) \( 1.2 \mathrm{~m} / \mathrm{s} \)
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