How Does a Boat's Velocity Change When Pointing Upstream?

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The discussion focuses on calculating a boat's resultant velocity when it travels upstream at an angle. The boat's maximum speed on a lake is 12.5 m/s, but it achieves only 10.6 m/s against the current. The need for a vector diagram is emphasized to visualize the forces at play. It's noted that the river's current affects the boat's speed, indicating that the water is moving. Understanding these dynamics is crucial for solving the problem accurately.
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Homework Statement


a boat that can travel at 12.5 m/s on a lake goes 10.6 m/s when going straight up river (with respect to land) if the boat turns and heads (points) 22 degrees upstream from straight across the river. what is the boat's resultant velocity


Homework Equations


I don't know!


The Attempt at a Solution


I don't know!

Thanks for your help in advance!
 
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Draw a vector diagram. Remember that since the boat can only travel 10.6 m/s instead of 12.5 m/s, the water in the river must be moving.
 
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