I need steps to solve this to understand it GOAL Solve a simple two-dimensional relative motion problem.VREVBEVBRW-OEPROBLEM The boat in the figure is heading due north as it crosses a wide river with a velocity of 10.0km/h relative to the water. The river has a uniform velocity of 5.00 km/h due east. Determine the velocityof the boat with respect to an observer on the riverbank.STRATEGY Again, we look for key phrases. "The boat. . . (has) a velocity of 10.0 km/h relative to thewater" gives v BP: "The river has a uniform velocity of 5.00 km/h due east" gives vRE because this impliesvelocity with respect to Earth. The observer on the riverbank is in a reference frame at rest with respect toEarth. Because we're looking for the velocity of the boat with respect to that observer, this last velocity isdesignated veE: Take east to be the +x-direction, north the +y-direction.SOLUTIONArrange the three quantities into theproper relative velocity equation.VBR =VBE - VRE%3DWrite the velocity vectors in terms oftheir components. For convenience,these are organized in the followingx-component(km/h)y-component(km/h)Vector10.0BRtable.V BE5.00 E Apps M GmailFind the x-component of velocity.0 = v,- 5.00 km/h v = 5.00 km/hFind the y-component of velocity.10.0 km/h == 10.00 km/h- 0 >Find the magnitude of VBE'2.VBE%3DV (5.00 km/h)2 + (10.0 km/h)2= 11.2 km/h%3DFind the direction of VBE5.00 m/s'10.0 m/s.e = tan= tan= 26.6°LEARN MOREREMARKS The boat travels at a speed of 11.2 km/h in the direction 26.6 east of north with respect toEarth.QUESTION If the speed of the boat relative to the water is increased, what happens to the angle?O e remains the same.O e increases.O e decreases.PRACTICE ITUse the worked example above to help you solve this problem. The boat in the figure is heading due northas it crosses a wide river with a velocity of 15.0 km/h relative to the water. The river has a uniformvelocity of 4.30 km/h due east. Determine the velocity of the boat with respect to an observer on theriverbank.magnitudekm/hdirection° east of northEXERCISEHINTS:GETTING STARTED | I'M STUCK!Suppose the river is flowing east at 2.80 m/s and the boat is traveling south at 3.90 m/s with respect tothe river. Find the speed and direction of the boat relative to Earth.speedm/sdirectionO south of eastSearch for anything

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QUESTION If the speed of the boat relative to the water is increased, what happens to the angle? O e remains the same. O e increases. O e decreases.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 40P

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