Part B Find the direction of the velocity of the canoe relative to the river. Ex

Question

Part B Find the direction of the velocity of the canoe relative to the river.
Express your answer as an angle measured south of west.

± A Canoe on a River Part A A canoe has a velocity of 0.540 m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.490 m/s east relative to the earth. (Figure 1) Find the magnitude of the velocity vcr of the canoe relative to the river Express your answer in meters per second Hints Figure 1 cfr m/s Submit My Answers Give Up Incorrect, One attempt remaining, Try Again rle Part B 45° cle This question will be shown after you complete previous questi Provide F

Explanation / Answer

here,

|vc| = 0.54 m/s

vr = 0.49 m/s i

theta = 45 degree

vc = 0.54 * ( cos(45) i - sin(45) j)

vc = 0.38 i - 0.38 j

a)

the magnitude of conoe velocity relative to the river , v = sqrt((0.38 - 0.49)^2 + 0.38^2)

v = 0.4 m/s

b)

the direction of the velocity of the canoe relative to the river , theta = arctan(0.38 /0.11)

theta = 74 degree S of W

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