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Question: Answered & Verified by Expert
A boat crossing a river moves with a velocity $v$ relative to still water. The river is flowing with a velocity $v / 2$ with respect to the bank. The angle with respect to the flow direction with which the boat should move to minimize the drift is-
PhysicsMotion In One DimensionKVPYKVPY 2012 (SA)
Options:
  • A $30^{\circ}$
  • B $60^{\circ}$
  • C $150^{\circ}$
  • D $120^{\circ}$
Solution:
1217 Upvotes Verified Answer
The correct answer is: $120^{\circ}$


To minimize the drifting
$\begin{array}{l}
\sin \theta=\frac{\mathrm{v}_{\mathrm{w}}}{\mathrm{v}_{\mathrm{bw}}}=\frac{1}{2} \\
\theta=30^{\circ} \\
90^{\circ}+\theta=120^{\circ}
\end{array}$

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