± A Canoe on a River A canoe has a velocity of 0.440 m/s southeast relative to t

Question

± A Canoe on a River

A canoe has a velocity of 0.440 m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.480 m/s east relative to the earth. (Figure 1)

Part A

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

Express your answer in meters per second.

0.480

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Part B

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Figure 1 of 1

± A Canoe on a River

A canoe has a velocity of 0.440 m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.480 m/s east relative to the earth. (Figure 1)

Part A

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

Express your answer in meters per second.

0.480

SubmitHintsMy AnswersGive UpReview Part

Incorrect; Try Again; 3 attempts remaining

Part B

This question will be shown after you complete previous question(s).

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Figure 1 of 1

Explanation / Answer

let the velocity vector of Canoe is V_c = Vc Cos 45 i + Vc sin 45 j
                                                                       = 0.44 Cos 45 i + 0.44 sin 45 j
                         = 0.311 i + 0.311 j

now the river velocity is only along east that is x component v_r = Vr i= 0.480 i

velocity vector of canoe relative to river is V = v_c -v_r
                       = (0.311-0.480) i + 0.311 j
                       = -0.169 i + 0.311 j

magnitude of velocity vector of canoe relative to river is V = sqrt((-0.169)^2+(0.311)^2)
                                 = 0.354 m/s

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