1:12fundamentals-o...hysics-textbook - Read-onlychapi 1/ 222 XSample Problem 2.01 Average velocity, beat-up pickup trucYou drive a beat-up pickup truck along a straight road for8.4 km at 70 km/h, at which point the truck runs out of gaso-line and stops. Over the next 30 min, you walk another2.0 km farther along the road to a gasoline station.Calculation(a) What is your overall displacement from the beginningof your drive to your arrival at the station?To find vashown in Fthe graph amaverage vethose pointto the run (KEY IDEAAssume, for convenience, that you move in the positive di-rection of an x axis, from a first position of x, = 0 to a secondposition of x2 at the station. That second position must be atx2 = 8.4 km + 2.0 km = 10.4 km. Then your displacement Axalong the x axis is the second position minus the first position.(d) Suppo:back to theCalculation: From Eq. 2-1, we haveaverage spreturn to thAr = x2 - x, = 10.4 km – 0 = 10.4 km.(Answer)KEY IDEThus, your overall displacement is 10.4 km in the positivedirection of the x axis.Your avera(b) What is the time interval At from the beginning of yourdrive to your arrival at the station?move to thCalculatio,km = 12.4KEY IDEA0.75 h = 1.We already know the walking time interval Atw (= 0.50 h),but we lack the driving time interval Atgr. However, weknow that for the drive the displacement Ax4 is 8.4 km andthe average velocity vavg.dr is 70 km/h. Thus, this averagevelocity is the ratio of the displacement for the drive to thetime interval for the drive.Calculations: We first write12Ax dr10Vavg.dr =AtarRearranging and substituting data then give usArdr8.4 kmAtt == 0.12 h.Vavg.dr70 km/hSo,At = Att + Atwik= 0.12 h + 0.50 h = 0.62 h.(Answer)(c) What is your average velocity vavg from the beginning ofyour drive to your arrival at the station? Find it both numer-ically and graphically.Figure 2-5 Thposition-timfor the walkKEY IDEAFrom Eq. 2-2 we know that vavg for the entire trip is the ratioof the displacement of 10.4 km for the entire trip to the timeinterval of 0.62 h for the entire trip.slope of the"Station" isto the statioPosition (km)...

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You drive a beat-up pickup truck along a straight road for 8.4 km at 70 km/h, at which point the truck runs out of gaso- line and stops. Over the next 30 min, you walk another 2.0 km farther along the road to a gasoline station. (a) What is your overall displacement from the beginning of your drive to your arrival at the station?

You drive a beat-up pickup truck along a straight road for 8.4 km at 70 km/h, at which point the truck runs out of gaso- line and stops. Over the next 30 min, you walk another 2.0 km farther along the road to a gasoline station. (a) What is your overall displacement from the beginning of your drive to your arrival at the station?

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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