Tanishq crosses the river!

The velocity of water current varies as

\(\large \begin{cases} {v= (\frac{1}{25})y, ~~~~~~~~~~~~~~~~~~~~~~y \leq 250m} \\ {v= 20- (\frac{1}{25})y, ~~~~~~~~~~~~~y>250m} \end{cases} \)

where \(y\) is the distance from one bank. The width of the river is \(500m\). If Tanishq is crossing the river with constant velocity \(5m/s\) relative to water and perpendicular to the current, Find the drift of Tanishq in meters.

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