A boat moves relative to water with a velocity v and river is flowering with 2v. At what angle the boat shall move with the stream to have minimum drift?
Text Solution
Verified by ExpertsThe correct answer is:
D
Let boat move at angle 
to the normal as shown in figure then time to cross the river 
Drift, 
To find the minimum value of 
, we need to differentiate it w.r.t 
and set it equal to zero.
Solving the above equation, we get:
Therefore, 
Also, 
Hence, the boat should move at an angle of 
to the normal and the angle between its initial and final direction should be 
.
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