Physics218Honors;Secs.201,202,203;Exam1,Fall-lOName:Section.No:___________________________________________NOTE:Eachproblemisworth20pts1.IntheproduetF=qVxB,takeq=2,V=2.Oi+4.Oj+6.OkandF=4.Oi—20j+12kWhatthenisBinunit-vectornotationifB=B-z17_c\IvZ(B-)p)Z3__ti-i2A‘,.L1-3C°____________________I4)32.Amotorcyclistwhoismovingalonganxaxisdirectedtowardtheeasthasanaccelerationgivenbya=(6.1-l.2t)rn/s2,for0t6.0s.Att=0,the velocityandpositionofthecyclistare2.7m/sand7.3mrespectively.a)Whatisthemaximumspeedachievedbythecyclist?b)Whattotal distancedoesthecyclisttravelbetweent0andt=6.0s?)2StGoa.I—),2±J-/,zd2b)Z’7=___-‘1/i-ct*z:33,cç-é2-C7-/-275pe-e2é73zffdtJ-di,t,1he.,ipL=Z_3L3.Lethbethemaximumheightattainedbyanobjectprojectedintotheair,suchasabaseball,football,orsoccerballandlettbethetotaltimeofflightoftheobjectinseconds.Obtainanexpressionforhintermsoftandg.Hint:yourresultshouldnotdependontheinitialvelocityoftheobjectnortheangleitwaslaunchedat.2j>tt4•i72cyzc2vy2—]‘3Iye4k.2avVt-ti3VG+t/f/;ACd4.Alightplaneattainsanairspeedof500km/h.Thepilotsetsoutforadestination800kmtothenorthbutdiscoversthattheplanemustbeheaded20.00eastofnorthtoflytheredirectly.Theplanearrivesin2.00h.a)Whatwasthewindspeed?b)Whatwasthe winddirection?LAp1No5C)-f-v21VP7LI1€74-L1coo00O(/S47p‘11377_?):,7L__ft2e?Y74n‘7‘j12Cl——‘13,fi2X/O/)SiMes—4I5.Aparticlerotatesinacircleofradius3.80m.Ataparticularinstantitsaccelerationis1.15mIs2in
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