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A particle P is initially at a distance $d = 16$ from a fixed point O. The particle P moves with a velocity $v = 5PO+3i$ . Where $PO$ is a unit vector from P to O at any time t. Initially $PO$ is perpendicular to $i$ . Find the time in seconds after which P meets point O.

$i$ is along X axis

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Mayank and Akul