You and four of your friends are all interested in getting out of town for a break. Two of your friends just want to relax while the other two want to get some exercise. You need some quiet time to study. To satisfy everyone, the group decides to spend the day canoeing on the river. Two people will put a canoe in the river and just drift downstream with the 1.5 km/h current. The second pair will begin at the same time as the first from 10. km downstream. They will paddle upstream until the two canoes meet. Since you have been canoeing with these people before, you know that they can paddle at 4.0 km/h in still water. When the two canoes meet, they will come to shore and you should be there to meet them with the picnic lunch. You decide to go to that spot ahead of time so you can study while you wait for your friends. How far from where the drifters launched will you wait for them? After lunch you decide to paddle across the river, which is 0.50 km wide. You can paddle 3.0 km/h in still water and angle the boat upstream so that you head straight across the river. What angle, with respect to the riverbank, do you need to aim your boat? How long does it take you to cross the river? When you get to the other side you realize that you need to get back to the other side of the river as quickly as possible. Is there a faster way for you to paddle across the river?
You and four of your friends are all interested in getting out of town for a break. Two of your friends just want to relax while the other two want to get some exercise. You need some quiet time to study. To satisfy everyone, the group decides to spend the day canoeing on the river. Two people will put a canoe in the river and just drift downstream with the 1.5 km/h current. The second pair will begin at the same time as the first from 10. km downstream. They will paddle upstream until the two canoes meet. Since you have been canoeing with these people before, you know that they can paddle at 4.0 km/h in still water. When the two canoes meet, they will come to shore and you should be there to meet them with the picnic lunch. You decide to go to that spot ahead of time so you can study while you wait for your friends.
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How far from where the drifters launched will you wait for them?
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After lunch you decide to paddle across the river, which is 0.50 km wide. You can
paddle 3.0 km/h in still water and angle the boat upstream so that you head straight across the river. What angle, with respect to the riverbank, do you need to aim your boat?
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How long does it take you to cross the river?
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When you get to the other side you realize that you need to get back to the other
side of the river as quickly as possible. Is there a faster way for you to paddle across the river?
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