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A ,man wishing to cross a river flowing ...

A ,man wishing to cross a river flowing with velocity `u` jumps at an angle `theta` with the river flow.
(a) Find the net velocity of the man with respect to ground if he can swim with speed `v` in still water.
(b) In what direction does the boat actually move ?
( c) Find how far from the point directly opposite to the starting point does the boat reach the opposite bank, if the width of the river is `d`.

Text Solution

Verified by Experts

Velocity of man `=V_(M)=sqrt(u^(2)+v^(2)+2v ucos theta)`
`tanphi=(vsintheta)/(u+v costheta)`
`(vsin theta)t=d rArr t=d/(v sin theta)`
`x=(u+v costheta )t=(u+v costheta)d/(v sin theta)`
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