Projectile Motion 1:Horizontally Launched Projectiles · PDF fileProjectile Motion...

Click here to load reader

  • date post

    13-Aug-2018
  • Category

    Documents

  • view

    233
  • download

    1

Embed Size (px)

Transcript of Projectile Motion 1:Horizontally Launched Projectiles · PDF fileProjectile Motion...

  • 1

    Acannonshootsaclowndirectlyupwardwithaspeedof20m/s.Whatheightwilltheclownreach?

    Howmuchtimewilltheclownspendintheair?

    ProjectileMotion1:HorizontallyLaunchedProjectiles Twodimensionalmotionismotionconfinedtoaplane(xyaxis)

    Motioninaplaneisbrokendownintotwomutuallyperpendicularcomponents.

    Thecomponentalongthexaxisisreferredtoashorizontalmotionwhilethecomponentalongtheyaxisisreferredtoasverticalmotion

    Horizontalmotionisnotaffectedbyanyexternalforces(aslongasweconsideridealcases)

    Verticalmotionisinfluencedbygravity

    *Massdoesnotmatter*

    THEBIGIDEAWhathappensintheverticaldimension

    Whathappensinthehorizontaldimension

    Whathappensinthexdimension

    Whathappensintheydimension

    SoWhatstaysthesamebetweenthehorizontalandvertical?

  • 2

    Solvingprojectilemotionproblems

    Thetable:Forallprojectilemotionproblems:

    ay=

    Vertical(y)motionis

    ax=

    Horizontal(x)motionis

    Forhorizontally(x)launchedprojectiles,theprojectileislaunchedinthe:_____direction

    Acannonfiresaprojectilehorizontally(x)at30m/s.

    Whatisthehorizontal(x)componentoftheinitialvelocity?

    Whatisthevertical(y)componentoftheinitialvelocity?

    Forallhorizontally(x)launchedprojectiles,

    Horizontal(x)motionhasnoeffectonvertical(y)motion.

    Agunisfiredandabulletisdroppedsimultaneously.Whichbullethitsthegroundfirst,thedroppedorfired?

  • 3

    Foreachpartofeachproblem,determinewhetheryouaresolvingaverticalorhorizontalmotionproblembeforesolving.LabelXorYinthecolumntotheleft.

    2.Acannonshootsaprojectilehorizontally(x)at50m/sfromthetopofa70mtallcliff.

    a)Howmuchtimedoesittaketheprojectiletoreachtheground?

    b)Whatistherange(dx)oftheprojectile?

    3.Aballrollstowardtheedgeofatablethatis110centimetershighandlands2.0metersawayfromitsedge.

    a)Howmuchtimedoesittaketheballtoreachtheground?

    b)Determinethespeedwithwhichtheballrollsoftheedge.

    4.Astuntcartravelingtowardtheedgeofacliffat25meterspersecondlands50metersmeasuredhorizontallyfromtheedgeofthecliff.

    a)Howmuchtimedoesittakethecartoreachtheground?

    b)Determinetheheightofthecliff.

    5.Astuntmanjumpsofftheedgeofa45metertallbuildingtoanairmattressthathasbeenplacedonthestreetbelowat15metersfromtheedgeofthebuilding.

    a)Howmuchtimedoesittakethestuntmantoreachtheground?

    b)Whatminimuminitialvelocitydoesheneedinordertomakeitontotheairmattress?

    VisualizingHorizontallyLaunchedProjectiles

    Aprojectileislaunchedhorizontallyat5boxespersecond.

    Createamotion/dotdiagramalongthetopforthehorizontal.Putanxoneachspot

    Createamotion/dotdiagramalongtheleftforthevertical.Putayoneachspot

    Marktheintersectionstoseewheretheprojectilewouldbeinxyspace

    Thepathortrajectoryoftheprojectileisa:

  • 4

    Acceleration Velocity

    6.AcarinaJamesBondmoviefliesofftheendofacliffwithavelocityof20m/s.Ifthecarisintheairfor10s,findthefollowinginformation:

    a.Theheightofthecliff.

    b.Therangethecartraveled.

    c.Thelocationofthecarafter5secondsinthexandydirection.

    7.A1kgballisrolledofftheendofa1mhightablewithavelocityof2m/s.Findthefollowing:

    a.Thetimetheballwasintheair.

    b.Therangetheballtraveled.

    c.TheimpactvelocityinthexandydirectionANDtheresultantvelocity

  • 5

    IdentifyingVariables:Identifythefollowingvariables(i.e.dxdyvix,ay,etc.)

    8.Astudentstandingontheroofofa80meterhigh(A)buildingkicksastoneatahorizontalspeedof4meterspersecond(B).Howmuchtimedoesittakethestonetohittheground?

    Whatisthequestionaskingfor?

    Whatarethehiddenorunstatedvariables?

    A: B:

    Fillinthetabletotheright

    9.Aballisthrownhorizontallyataspeedof14meterspersecond(A)fromthetopofacliff.Iftheballhitstheground4.0seconds(B)later,approximatelyhowhighisthecliff?

    Whatisthequestionaskingfor?

    Whatarethehiddenorunstatedvariables?

    A: B:

    Fillinthetabletotheright

    HorizontallyLaunchedProjectilePracticeWhathappensinthexdimensionstaysinthexdimension

    Whathappensintheydimensionstaysintheydimension

    Whatdoesthismean?Usethetableattheright.

    Aprojectileislaunchedhorizontallyat20m/s.Foursecondslaterithitstheground.

    Whatistherangeoftheprojectile(dxordy)?

    WhichvishouldIusetogettherange?Whicha?

    Solvefortherange.

    Whatistheinitialheightoftheprojectile(dxordy)?

    WhichvishouldIusetogettherange?Whicha?

    Solvefortheheight.

  • 6

    10.Acannonballlauncheshorizontallyoffatallcliffat40m/s.Anotherballisdropped.Whichonewillhitthegroundfirst?Why?

    After4seconds,whatistherangeofthecannonball?

    Ifatrainwastravelingat40m/s,howfarwouldthattravelin4seconds?Howdoesthiscomparetothecannonball?

    11.TheEnolaGayistravelinghorizontallyat75m/satanaltitudeof9470m,whenitdropsthebomb.

    Whatistheinitialhorizontalandverticalvelocityofthebomb?

    Createamotion/dotdiagramalongthetopfortheplane.

    Createamotiondiagramforthebombdroppedunderneathit.

    Whatdoesthismeanfortheplaneandthebomb?Whereistheplanewhenthebombhitstheground?

  • 7

    12.Aplaneisflyinghorizontallyatanaltitudeof1200mataspeedof150m/s.Itdropsapackagetolandonanisland.Howfarawayfromtheislandshouldtheplanebewhenitreleasesthepackage?(Hint:Createatable.Youmayneedtofindsomethingincommonbetweenxandy)

    13.Threecannonsfirethreedifferentcannonballshorizontallyoffthetopofthesame30metertallcliffdifferentvelocitiesasshowninthetablebelow.

    CannonBall Velocity(m/s)

    A 40m/s

    B 70m/s

    C 90m/s

    a)Whichcannonballhitsthegroundfirst?Howdoyouknow?

    b)WhatisthehorizontalvelocityofCannonBallAafter2seconds?

    c)WhatisthehorizontalcomponentofCannonBallBsvelocitywhenithitsthe ground?

    d)HowlongdoesittakeforCannonBallCtohittheground?

    e)WhatisthehorizontalrangeofCannonBallC?

    14.Aplaneisflyinghorizontallyat120m/swhenitreleasesapackage.Thepackagecrashlandsonanisland12.7secondslater.

    a)Whatisthehorizontalcomponentofthepackagesvelocity

    theinstantithitstheground?

    b)Whatistheverticalcomponentofvtheinstantithitstheground?

    c)Whatistheresultantvelocitytheinstantithitstheground?

    VectorComponents

    Intohowmanycomponentscanavectorbesplit?

  • 8

    15.Asoccerballiskickedat25degreesfromthehorizontalwithaninitialvelocityof25m/s.

    a)Whatisthexcomponentoftheballsinitialvelocity?

    b)Whatistheycomponentoftheballsinitialvelocity?

    16.Alittleboypullsawagonwithaforceof17Natanangleof23degrees.

    a)Whatisthehorizontalcomponentoftheboysforce?

    b)Whatistheverticalcomponentoftheboysforce?

    3.Gravitypullsdownontheboxtotherightwithaforceof100N.

    a)Whatisthecomponentoftheforceparalleltotheincline?

    b)Whatisthecomponentoftheforceperpendiculartotheincline?

    ProjectileMotion2:GroundLaunchedProjectilesGroundlaunchedprojectilesarejustlikehorizontallylaunchedprojectiles,exceptthatvinitialisnotcompletelyhorizontal(viydoesntequalzero).

    17.Acannonfiresashotwithaninitialvelocityof80m/satanangle27degreesabovethehorizontal

    a)Whatisthehorizontalcomponentoftheinitialvelocity?(makeasketch)

    b)Whatistheverticalcomponentoftheinitialvelocity?

    c)Atthepeakofthetrajectory,whatisthehorizontalcomponentofthevelocity?

    d)Atthepeakofthetrajectory,whatistheverticalcomponentofthevelocity?

    e)Howmuchtimedoesittaketheprojectiletoreachthepeak?

    (Makeatable.Includevf)

    18.Abaseballishitwithaninitialvelocityof35meterspersecondatanangleof18abovehorizontal.

    a)Calculatetheverticalcomponentoftheballsinitialvelocity

    b)Howmuchtimewillittakethebaseballtoreachthetopofitsflight?

    c)Howmuchtotaltimewillthebaseballspendintheair?

    19.Aplacekickerstrikesafootballwithahorizontalvelocityof22meterspersecondandverticalvelocityof10meterspersecond.Theballreachesitsmaximumheightwithin1.02seconds.

    a)Whatisthetotaltimethattheballwillspendintheair?

    b)Calculatethehorizontaldistancethatthefootballwilltravelduringitsflight.

    20.Aballisthrownwithaninitialvelocityof15meterspersecondatanangleof20abovethehorizontal.

    a)Determinetheverticalcomponentoftheballsinitialvelocity.

    b)Determinetheballstotaltimeofflight.

  • 9

    GroundLaunchedProjectilePracticeForanyprojectilemotion,weknowthat:

    21.Asoccerballiskickedwithaninitialvelocityof20m/satanangleof30degrees

    a)Whatisthehorizontalcomponentoftheinitialvelocity?

    b)Whatistheverticalcomponentoftheinitialvelocity?

    Acceleration

    HorizontalVelocity

    VerticalVelocity

    c)Whatisthehorizontalcomponentofvelocityatthepeak?

    d)Whatistheverticalcomponentofvelocityatthepeak?

    e)Whatisthehorizontalcomponentofvelocityattheend?

    f)Whatistheverticalcomponentofvelocityattheend?

    g)Howmuchtimedoesittaketheballtoreachthepeak?

    h)Howmuchtotaltimedoestheballspendintheair?

    i)Whatisthemaximumheighttheballreaches?

    j)Whatisthetotalrangeoftheball?

  • 10

    Whydowesplitintoxandycomponents?Aprojectileislaunchedat39.2m/satanangleof30degreesfromhorizontal

    22.Abaseballishitwithaninitialvelocityof35meterspersecondatanangleof18abovehorizontal.

    a.Sketchthebaseballstrajectory.Indicatethepointatwhichtheballsverticalvelocityis0.

    b.Calculatetheverticalcomponentoftheballsinitialvelocity.

    c.Calculatethetimethatitwilltakefortheballtoreachthetopofitsflight.Explainhowthisamountoftimeisrelatedtothetotalamountoftimethattheballwillremainintheair.

    d.Calculatethemaximumheightthattheballwillreach.

    23.Aplacekickerstrikesafootballwithahorizontalvelocityof22meterspersecondandverticalvelocityof10meterspersecond.Theballreachesitsmaximumheightwithin1.02seconds.

    a.Whatisthetotaltimethattheballwillspendintheair?

    b.Calculatethehorizontaldistancethatthefootballwilltravelduringitsflight.

    24.Aballfliesthroughaparabolicpathandpassesthroughpoin