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1、Question1．Amanrunsinastraightline.HepassesthroughafixedpointAwithconstantvelocity7ms_1attimet=0.Attimetshisvelocityisvms_1.Thediagramshowsthegraphofvagainsttfortheperiod0≤t≤40.(i)Showthatthemanrunsmorethan154minthefirst24s.(ii)Giventhatthemanruns20mi
2、ntheinterval20≤t≤24,findhowfarheisfromAwhent=40.Question2Thediagramshowsthevelocity-timegraphsforthemotionoftwocyclistsPandQ,whotravelinthesamedirectionalongastraightpath.BothcyclistsstartfromrestatthesamepointOandbothaccelerateat2ms−2uptoaspeedof10m
3、s−1.Boththencontinueataconstantspeedof10ms−1.QstartshisjourneyTsecondsafterP.(i)ShowinasketchofthediagramtheregionwhosearearepresentsthedisplacementofP,fromO,attheinstantwhenQstarts.GiventhatPhastravelled16mattheinstantwhenQstarts,find(ii)thevalueofT
4、,(iii)thedistancebetweenPandQwhenQ’sspeedreaches10ms−1.Question3AboyrunsfromapointAtoapointC.HepausesatCandthenwalksbacktowardsAuntilreachingthepointB,wherehestops.Thediagramshowsthegraphofvagainstt,wherevms−1istheboy,svelocityattimetsecondsafterleav
5、ingA.Theboyrunsandwalksinthesamestraightlinethroughout.(i)FindthedistancesACandAB.(ii)Sketchthegraphofxagainstt,wherexmetresistheboy,sdisplacementfromA.ShowclearlythevaluesoftandxwhentheboyarrivesatC,whenheleavesC,andwhenhearrivesatB.Question4Particl
6、esPandQstartfrompointsAandBrespectively,atthesameinstant,andmovetowardseachotherinahorizontalstraightline.TheinitialspeedsofPandQare5ms−1and3ms−1respectively.TheaccelerationsofPandQareconstantandequalto4ms−2and2ms−2respectively(seediagram).(i)Findthe
7、speedofPattheinstantwhenthespeedofPis1.8timesthespeedofQ.(ii)GiventhatAB=51m,findthetimetakenfromthestartuntilPandQmeet.Question5Thediagramshowsthevelocity-timegraphforaliftmovingbetweenfloorsinabuilding.Thegraphconsistsofstraightlinesegments.Inthefi
8、rststagethelifttravelsdownwardsfromthegroundfloorfor5s,comingtorestatthebasementaftertravelling10m.(i)Findthegreatestspeedreachedduringthisstage.Thesecondstageconsistsofa10swaitatthebasement.Inthethirdstage,thelifttravelsupwardsuntilitcomestorestataf
