The speed of river current close to banks is nearly zero. The current speed increases linearly from the banks to become maximum `(= V_(0))` in the middle of the river. A boat has speed ‘u’ in still water. It starts from one bank and crosses the river. Its velocity relative to water is always kept perpendicular to the current. Find the distance through which the boat will get carried away by the current (along the direction of flow) while it crosses the river. Width of the river is l.

Answer

`(V_(0)l)/(2u)`