(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

[/PLAIN] [Broken]

Relative Velocity Equation

3. 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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# Homework Help: Relative Velocity Problem - Finding an angle of a boat going down a river

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