If the water flow speed is larger than the boat\'s speed can not be by boat to g

Question

If the water flow speed is larger than the boat's speed can not be by boat to get from point A to point B in the figure. Investigate the speed at which the boat will have to get across the river to point B.

http://i.imgur.com/VsRYbZ4.png  the figure

Give me a very deep and well motivated answer please, so that I can understand.

If the water flow speed is larger than the boat's speed can not be by boat to get from point A to point B in the figure. Investigate the speed at which the boat will have to get across the river to point B.

Explanation / Answer

Let speed of boat be Vb and flood be Vf

Net speed of boat when moving ahead= Vbi+Vfj

But the ne speed of boat should be in x direction

So, speed of boat= Vbi -Vfj

So net speed V=sqrt(Vb2+Vf2)

Direction=tan-1(Vb/Vf)

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