Calculating Boat Speed Relative to Shore Observer in 2-D Motion

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To calculate the speed of the boat relative to a stationary shore observer, one must consider both the boat's speed relative to the water and the current's speed. The boat's speed is 2.62 m/s perpendicular to the river, while the current flows at 1.24 m/s parallel to the river. By using vector addition, the resultant speed can be determined using the Pythagorean theorem. The magnitude of the boat's speed relative to the shore observer is approximately 2.99 m/s. Understanding vector diagrams is crucial for visualizing and solving the problem effectively.
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A boat crosses a river of width 134m in which the current has a uniform speed of 1.24m/s. The pilot maintains a bearing (i.e. the direction in which the boat points) perpendicular to the river and a throttle setting to give a constant speed of 2.62m/s relative to the water.

What is the magnitude of the speed of the boat relative to a stationary shore observer? anser in units of m/s


ok... if anyone can give me a clue on where to start i would love it!

~thanks
 
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Can you draw a vector diagram showing the velocity vector of the boat with respect to the water, and the vector for the velocity of the water? What do you do with these vectors to get the answer?
 

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