# Time = $$\frac{Distance}{Speed}$$, right??

A particle $$P$$ is initially at a distance of $$d = 16 m$$ from point $$O$$. The particle $$P$$ moves with a velocity given by
$\overrightarrow{v} = 5 \overrightarrow{PO} + 3\hat{i}$
where $$\overrightarrow{PO}$$ is a unit vector from $$P$$ to $$O$$ at any time t.

Initially $$\overrightarrow{PO}$$ is perpendicular to $$\hat{i}$$.

Find the time in second after which point $$P$$ meets point $$O$$.

Details and Assumptions:

$$\hat{i}$$ is unit vector along the direction of x-axis.

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