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Carnegie Mellon University

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Problem 38 Medium Difficulty

Two canoeists in identical canoes exert the same effort paddling and hence maintain the same speed relative to the water. One paddles directly upstream (and moves upstream), whereas the other paddles directly downstream. With downstream as the positive direction, an observer on shore determines the velocities of the two canoes to be $-1.2 \mathrm{m} / \mathrm{s}$ and $+2.9 \mathrm{m} / \mathrm{s}$ , respecties of the two canoes to be $-1.2 \mathrm{m} / \mathrm{s}$ and $+2.9 \mathrm{m} / \mathrm{s}$ , respectively. (a) What is the speed of the water relative to the shore? (b) What is the speed of each canoe relative to the water?

Answer

a. the speed of the water relative to the shore is approximately 2.1$\mathrm { m } / \mathrm { s }$ .
b. the speed of the canoes relative to the water is 0.9$\mathrm { m } / \mathrm { s }$ .

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Video Transcript

could say that the velocity of the canoe relative to the water is equaling the velocity of the canoe relative to the shore, minus the velocity of the water relative to the shore. We can then say that then the of velocity of the canoe relative to the water is equaling 2.9 meters per second, minus the velocity of the wand relative to shore. We consider the negative lawsuit. The velocity of the canoe relative to the water is equal in the velocity of the canoe relative to assure of minus velocity of the water relative to the shore. And this is the velocity of the canoe relative with respect to the water moving upstream. And so we can say that the velocity of the canoe relative to the water moving upstream is negative 1.2 meters per second. Mind if the velocity of the water relative to shore. So we know that both of these air we can add these up and set them equal to, of course, zero so negative 1.2 meters per second, minus the velocity of the water relative to shore, plus 2.9 meters per second, minus the velocity of the water relative to shore is gonna equal zero. And so the velocity of the water relative to the shore is equally 00.85 meters per second and then the velocity of the canoe relative to the water is equaling a 2.9 meters per second, minus 0.85 meters per second, and this is equal in 2.5 meters per second. This would be the velocity of the canoe relative to the relative to the water, so these would be heir to answers. That is the end of the solution. Thank you for watching.

Carnegie Mellon University
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