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1、Team#002Page14of14CardboardStackedWhenitComestoCrashingSummaryThisarticleisaboutastuntpersononamotorcyclewilljumpoveranelephantandlandinapileofcardboardboxestocushiontheirfall.Firstlyweneedtoprotectthestuntperson,secondly,weneeduserelativelyfewcardboardboxes.Inqu
2、estion1,weneedfigureoutthesize,theamountandthestackedmethod.Firstweanalyzetheshocktosinglecardboardbox,anddrawthemotioncurveofthestuntperson&motorcycle.NextweapplyNewton'slawsofmotionandlawofenergyconservationtobuildthemotionmodel.Finallywefigureoutthesizeoftheca
3、rdboardboxis,thenumberofthecardboardboxesis138,thecostingis$690.Inquestion2,onthemotioncurveofthestuntperson&motorcycle,wefindthatwecanstacktheboxestosteps.Thiswaynotonlycanmakethestuntpersonsafe,butalsoreducethecosting.Itisgreatlyoptimizingthemodel.Sowebuildthes
4、tackedstepmodel,andwealsocanfigureouttheminimumnumberofthecardboardboxesis:,andtheminimumcostingofthecardboardboxesis:,itcansave$220.Atlast,wealsotalkaboutsomeotherstackedway,wecomparetheconventionalstackedtotheintercrossstacked.firstweuseeightcardboardboxestoana
5、lyzetheforce,andthenpopularizetoncardboardboxes,finallywefindthattheshockforcetointercrossstackedcanbearistimestoconventionalstacked.Inquestion3,wegeneralizetodifferentcombinedweights(stuntperson&motorcycle)anddifferentjumpheights,duetoformula(1)and(2),wefigureou
6、tthenumberandcostingtodifferentcombinedweightsandjumpheights.Atlast,wegetaconclusion:whenthecombinedweighisinvariant,theamountisincreasingalongwiththejumpheight;whenthejumpheightisinvariant,theamountisincreasingalongwiththecombinedweight.Team#002Page14of14Content
7、sCardboardStackedWhenitComestoCrashing1Summary11.Introduction32.RestatementoftheProblem33.AnalysisoftheProblem44.Assumptions55.Thesymbols56.ModelDesignandSolve6Model1theMotionModelBasedonLawofEnergyConservation6Model2thestackedstepmodel8Model3theSizeandAmounttoDi
8、fferentCombinations117.SensitivityAnalysis118.StrengthsandWeaknessesoftheModels129.FutherDevelopment12References14Team#002Page14of141.IntroductionAnexcitingact
