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Lavalamp22
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Homework Statement
A boat is capable of a constant speed of 4 m/s in a river that is flowing at 2 m/s. If the captain wishes to land 10m downriver while crossing a 50m river, then at what angle should the boat be aimed?
Homework Equations
[/PLAIN]
Relative Velocity Equation
The Attempt at a Solution
He went over this problem after handing our tests back, but this was the last question and he was rushing as class was almost over. This is the information I have:
B=Boat, S=Shore, R=River
He found θ by taking tan^-1(10/50) and ended up getting 11.3°. Then he went on to find the x and y components. For the x component, I have written down: V(B/S)x = -V(B/R)x + V(R/S)x -> V(B/S) sin11.3° = -4sinΩ + 2. For the y-component, I have written: V(B/S)y = V(B/R)y + V(R/S)y -> V(B/S) cos 11.3° = 4cosΩ.
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