A canoe has a velocity of 0.490 southeast relative to the earth. The canoe is on a river that is flowing at 0.520 east relative to the earth creating a 45 degree angel between the two velocities.Find the magnitude of the velocity of the canoe relative to the river.

Answer 1

Perform the vector operation:

Vce = Vwe + Vcw where

Vce = velocity of cane with respaect to earth

Vwe = velocity of water (river) with respect to earth

Vcw = velocity of canoe with respect to water. (You want to know its magnitude)

You have not provided units for your velocity numbers, so that is as far as I can go with this one.

Vce is at a 45 degree angle to Vwe.

There are two unknowns: the magnitude of Vcw and its direction. The vector equation will provide the two equations needed (one for east-west and one for north-south components)

Answer 2

565