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sapz
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Homework Statement
A boat has a sail that has a surface S towards the wind.
The wind blows at constant velocity u.
Also given the density of the air, p.
Find the velocity of the boat as a function of time.
What will be the velocity of the boat after a long enough time? What exactly is this "long enough" time?
Homework Equations
The Attempt at a Solution
I figured I could write the forces equation, since I know that the force that the wind asserts on an object is proportional to its surface and to the velocity^2.
k is some constant,
So F = k*S*(u-v)^2 = ma
But then I get a diff. equation with v, v dot, and v^2, which I don't know how to solve.
Is there an easier way to solve this?
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