A250-m-wide river flows due east at a uniform speed of4,3m/s. A boat with a speed of67m/s relative to the water leavesthe south bank pointed in a direction 30° west of north.What arethe (a) magnitude and (b) direction of the boat's velocity relativeto the ground? (c) How long does the boat take to cross the river?The velacity of the boat relatve to the ground is.br = (6,7m/s) SIN(- 30°); + (6.7 m/s) Cos (- 30°)- 3, 35 m/s î +%3D5.803The velocity of the baat relatue to the ground is :Vog = V br + VrThus,3.35 m/s Î t 5,80 m/s ir 43m/s is Ö,5 m/s its.8om/s?@mognitude of Vbq is:Iubal = Vo,95)²+ Gi8075.88m/s%3DO The direction of Ybg is:Tan"/tan-! (VBgY)VB.y XF0.7° >X incorectanSweRThan direction of V bg is :Fantan-bgi| 9.30°| CORRECT518• 15Vbg yauSweris tan Nbgx used instead of tan '/Vbgy--Whyused insteed of tan'/ Vbgy)2VogX[VbgyPlease explain in cleap, Completede tail how to know which to use.Thank you!

Answered: Image /qna-images/answer/645a228a-cd25-4939-b4da-ff7e9ef0836f.jpg

A250-m-wide river flows due east at a uniform speed of 4,3m/s. A boat with a speed of67m/s relative to the water leaves the south bank pointed in a direction 30° west of north.What are the (a) magnitude and (b) direction of the boat's velocity relative to the ground? (c) How long does the boat take to cross the river? The velacity of the boat relatve to the ground i . br = (6,7m/s) SIN(- 30°); + (6.7 m/s) Cos (- 30°) - 3,35m/s î + %3D 5.803 The velocity of the beat relatue to the ground is : Vog = V br + Vr Thus, @mognitude of Vbq is : Iubal = Vo,95)²+ Gi807 O The direction of Ybg is: Tan"/ 80.7°>Xincorect aNSweR VB.y X Than direction of V bg is : Fan tan-bgi | 9.30°CORRECT 518 • 75 auSwee -- Why used instead of tan'/ Vbgy) VogX -- 1s tan (Vbg x [Vogy Please explain in cleap, Complete detail how to know which to use. Thank you!

A250-m-wide river flows due east at a uniform speed of 4,3m/s. A boat with a speed of67m/s relative to the water leaves the south bank pointed in a direction 30° west of north.What are the (a) magnitude and (b) direction of the boat's velocity relative to the ground? (c) How long does the boat take to cross the river? The velacity of the boat relatve to the ground i . br = (6,7m/s) SIN(- 30°); + (6.7 m/s) Cos (- 30°) - 3,35m/s î + %3D 5.803 The velocity of the beat relatue to the ground is : Vog = V br + Vr Thus, @mognitude of Vbq is : Iubal = Vo,95)²+ Gi807 O The direction of Ybg is: Tan"/ 80.7°>Xincorect aNSweR VB.y X Than direction of V bg is : Fan tan-bgi | 9.30°CORRECT 518 • 75 auSwee -- Why used instead of tan'/ Vbgy) VogX -- 1s tan (Vbg x [Vogy Please explain in cleap, Complete detail how to know which to use. Thank you!

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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