How to Calculate Boat Velocity Relative to Shore in River Flow?

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SUMMARY

The discussion focuses on calculating a boat's velocity relative to the shore in a river with a current. When the boat travels upstream against a current of 10 km/hr while moving at 10 km/hr in still water, its velocity relative to the shore is 0 km/hr. Conversely, when traveling downstream with the current, the boat's velocity becomes 20 km/hr. Additionally, the discussion highlights the use of vector components and vector addition to determine the boat's movement direction when oriented at right angles to the water flow.

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nocturnalwun
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Consider a boat that travels at 10 km/hr in still (non-moving) water. If the boat travels in a river that flows at a rate of 10 km/hr, what will be its velocity relative to the shore when it heads directly upstream (against the current)? What happens when it heads downstream (with the flow)? Explain




Suppose the boat is oriented at right angles to the water flow and begins moving. Using vector components and vector addition rules, how would you go about finding the direction in which the boat will move relative to the shore? I am interested in the process, not the numerical answer.


I have not been able to purchase the text needed for the class yet and I have an online quiz, so I am not able to figure out how to do these problems can anyone help?
 
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