Jim paddles a canoe across a river that is 20 meters wide in 2.0 mintues. Upon r

Question

Jim paddles a canoe across a river that is 20 meters wide in 2.0 mintues. Upon reaching the other side, he realizes that the river carried him 12 meters east of his starting point. If the water flowed towards the east with constant velocity and his canoe was always pointing north. What was his velocity with respect to the water? How fast was the water flowing with respect to the ground? What was Jim's velocity with respect to the ground/ Give answer in vector notation as well as in terms of a magnitude and angle with respect to the positive y axis.

Explanation / Answer

Velocity of jim wrt river=20/2*60=0.167m/s along the positive y axis.

Velocity of river wrt ground=12/2*60=0.1m/s along the positive x axis.

Jim's velocity with respect to the ground=0.167m/s j+0.1m/s i=0.1944m/s at angle 31 degrees with the positive y axis.

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