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  4. A swimmer wants to cross a river from point A to point B. Line A B makes an angle of 30° with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle θ with the line A B should be °, so that the swimmer reaches point B.

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Q. A swimmer wants to cross a river from point $A$ to point $B$. Line $A B$ makes an angle of $30^{\circ}$ with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle $\theta$ with the line $A B$ should be ___$^{\circ}$, so that the swimmer reaches point $B$.Physics Question Image

JEE MainJEE Main 2021Motion in a Plane

Solution:

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Both velocity vectors are of same magnitude therefore resultant would pass exactly midway through them
$\theta=30^{\circ}$