# The harbour entrance.

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#1
The entrance to a harbour is a channel of length a which runs between two sand banks, a distance b apart. The channel and banks are assumed to be rectangular. On this particular day, there is a current of constant speed v flowing from one sand bank to the other. A yacht travelling at a constant speed u wants to enter the harbour.
Find the least possible value of u needed to safely enter the harbour.
The answer is in terms of a, b, v and/or u.
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2 weeks ago
#2
(Original post by Arb.dha)
The entrance to a harbour is a channel of length a which runs between two sand banks, a distance b apart. The channel and banks are assumed to be rectangular. On this particular day, there is a current of constant speed v flowing from one sand bank to the other. A yacht travelling at a constant speed u wants to enter the harbour.
Find the least possible value of u needed to safely enter the harbour.
The answer is in terms of a, b, v and/or u.
It seems to have originated from Isaac Physics.
https://isaacphysics.org/questions/harbour_entrance
Have you watched the video hint?
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