A boat that can move 3.0 m/s in still water is on a river that is flowing 1.0m/s (S) . What is the velocity of the boat relative to the shore when the boat is heading south?
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Expert's answer
2013-03-13T08:09:50-0400
Velocity-addition formula: if a boat is moving relative to the water velocity v and water is on a river that is flowing with velocity u, then the velocity of the boat relative to the shore equals the vector sum: s = v + u In our case river is flowing to the south and boat is heading south, therefore: s = v + u s = 1m/s + 3 m/s = 4 m/s Answer: the velocity of the boat relative to the shore equals 4 m/s
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