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A man wants to reach point B on the opposite bank of a river flowing at a speed as shown in figure. What minimum speed relative to water should the man have so that he can reach point B?
  • a)
    u√2
  • b)
    u/√2
  • c)
    2u
  • d)
    u/2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A man wants to reach point B on the opposite bank of a river flowing a...
Let v be the speed of boatman in still water.

Resultant of v and u should be along AB. Components of vb (absolute velocity of boatman) along x and y directions are,
vx = u - v sinθ
and vy = u cosθ
Also, tan 45° = vy/vx
⇒ 
⇒ 
v is minimum at,
θ + 45°= 90°or θ = 45°
and Vmin = u/√2
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