A man wishes to cross a river flowing with velocity u joumps at an angle ` theta ` with the river flow . Find out the net velocity of the man with respect to ground if he can swim with speed v. also find how far how fat from the point boat actually move . if the width of the river is d.

Explanation

velocity of man `= V_M = sqrt( u^2 + v^2 + 2v u cos theta )`
` tan phi = ( vsin theta)/( u+ v cos theta )`
` ( v sin theta ) t = d implies t =(d)/(v sin theta)`
` x= (u + v cos theta ) t= (u + v cos theta ) (d)/( v sin theta )`