A canoe has a velocity of 0.350 m / s southeast relative to the earth. The canoe

Question

A canoe has a velocity of 0.350m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.520m/s east relative to the earth.

Find the magnitude of the velocity v? c/r of the canoe relative to the river.

Find the direction of the velocity of the canoe relative to the river.

A canoe has a velocity of 0.350m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.520m/s east relative to the earth. Find the magnitude of the velocity v? c/r of the canoe relative to the river. Find the direction of t

Explanation / Answer

east component = 0.35 cos 45 + 0.52 = 0.77 m/s

north component = -0.35 sin45 = -0.25m

magnitude of velocity = sqrt(0.25^2 +0.77^2) = 0.81 m/s

direction = arctan(-0.25/0.77) = 342.02 DEGREES COUNTER CLOCKWISE

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