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

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SUMMARY

The discussion centers on calculating the speed of a boat relative to a stationary shore observer while crossing a river. The boat maintains a speed of 2.62 m/s relative to the water, while the river current flows at 1.24 m/s. To find the resultant speed of the boat relative to the shore, one must use vector addition to combine the boat's velocity vector and the water's velocity vector, resulting in a speed of approximately 2.94 m/s.

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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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