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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