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Two ports, A and B, on a north-south lin...


Two ports, A and B, on a north-south line ar separated by a river of width D. The river flows east with speed u. A boat crosses the river starting from port A. The speed of the boat relative to the river is v. Assume `v=2u`
Q. What is the direction of the velocity of boat relative to river `theta`, sothat it crosses directly on a line from A to B?

A

`30^@` west of north

B

`30^@` east of north

C

`60^@` west of north

D

`60^@` east of north

Text Solution

Verified by Experts

The correct Answer is:
B
To reach the port B, the x-component of the total velocity must be zero:`vsintheta-u=0`.
So `sintheta=(1)/(2)` or `theta=30^@`
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