A boat crossing a river with width "d", moves with a constant speed "u" normal to the other shore. The flow rate of the river is zero at shores, while reaches its maximum "v0"in the middle from either shore. It is known that the flow rate increases in proportion from the shore to the middle. What will be the trajectory of the boat? The answer only needs to be a formula. A sufficient amount of information has been given.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.21P
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A boat crossing a river with width "d", moves with a constant speed "u" normal to the other
shore. The flow rate of the river is zero at shores, while reaches its maximum "v0"in the middle
from either shore. It is known that the flow rate increases in proportion from the shore to the
middle. What will be the trajectory of the boat? The answer only needs to be a formula. A sufficient amount of information has been given.

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