WPC MJaO6ᏎE@VDNS[1k{V:QD&<kmPٝ]G:e(\qܡÍ9h_\:ÆƑj.=y=Fi9ձY'1rhT FTOJkG:˷Y DN N}UZ-pL# jyI&4vngf۞cwPՑ}г`)v>J'_ny~%!,o؆A-T4Od4E;{$ _$;؊mۆLT8]FvwOX"s7W՗GFGecڙ@D]__L OaqQZ\+eCN )=nal hhA|];50kۺcR`1KX3U@ % G 0^W D+ 0^ 0E AYI d .\ d .Ddr.,dZBx B7d0dU d5<1dm*d0d?rdr?\d9dde% C'fAaC B1*Wfan 0CT h hw@4* `(CG TimesScalableX = )DKUS.,,,..9% b' v;O X9   ______________________________________________________________________________ DetSkrKast %"side  1  /3(62$ -\!  TRW`6&3'6&A43'TDKUS.,,,..9% b' v;O X9   'dxd Level 1 Level 2 Level 3 Level 4 Level 5(62$ -\!  TRW`6&3'6&A43'TDKUS.,,,..9% b' v;O X9   ($ (    ) M << deUU SX*"XX@2XX XXv.T0XXp XXsinXX(XXXXB)XXJg ${2 vsub0 sin(alpha)}overg SX)XX?2XX XXv-F0XXo XXsinXX(XXXXA)XXGg ${2 vsub0 sin(alpha)}overg SX)XX?2XX XXv-F0XXo XXsinXX(XXXXA)XXGg ${2 vsub0 sin(alpha)}overg X)XX?v2R0XX XX+2XX XXsinXX(XXXXa)XX XXcosXX(XX!XX)XXGg 8{vsub0sup2 2 sin(alpha) cos(alpha)}overg d X)XX?v2R0XX XX+sinXX(XXW2XXXX/)XXGg &{vsub0sup2 sin(2alpha)}overg X)XX?v2R0XXjGg {vsub0sup2}overg X/XXEV1XXEG2XX SXXX2XXw XXvF0XXC XXusinXX_(XXXX)XXGg 21over2 {2 vsub0 sin(alpha)}overg )X)XX?vF0XX XX sinXX(XX7XX)XXdGg {vsub0 sin(alpha)}overg XX)XXXV1XXG2XX= XXogXX XX()XSXXivF0XX XX5sinXX(XXaXX)XXGgXX-)o52XX XXv10XXs XXsinXX(XXXXE )XX  XX ()X XX vu F0XX  XX sinXX (XX XX )XXB GgXX ) }1over2 g ({vsub0 sin(alpha)}overg)sup2~+~vsub0 sin(alpha) ({vsub0 sin(alpha)}overg) XX)XXXV1XXG2:XIXX_v2R0XX XXKsin52XXw(XXXX-)XXGgXX:XXXvG2'R0XX XXsin2XX(XX)XX)XX%Gg h1over2{vsub0sup2 sinsup2(alpha)}overg~+~{vsub0sup2 sinsup2(alpha)}overg X/XXEV1XXEG2:XXXvY29R0XX XXsin2XX(XX;XX)XX7Gg 51over2{vsub0sup2 sinsup2(alpha)}overg :X)XX?v2R0XX XX+sin2XXW(XXXX )XXcG2XXGg /{vsub0sup2 sinsup2(alpha)}over{2g} X)XXFv2R0XX?G2XXGg {vsub0sup2}over{2g}dTable_A&0 d dTable_B3|w?* `(CG TimesScalableXXw P7XP(\$  TRW`6&3'6&A43'TDKUS.,,,..9% b' v;O X9  &) 67D89:;<=>?@1d:\3G-  -\!  TRW`6&3'6&A43'TDKUS.,,,..9% b' v;O X9    DetSkrKast   Forml: M  0 b Atundersge DetSkrKast vedenrkkeforsg.Bl.a.undersgebanekurven,kaste =  hjdenogkastelngden. b%"b%" Teori:  `  0 b Viforestillerosenxakse,somervandretogpegeriskudretningen.Yaksenplacereslodret,ogorigosvarertilstartstedet.Bevgelsenforegrdaixyplanen. b%"b%" 0 b Accelerationen:   ax(t)=0 b%"b%" 0 b  '    ay(t)=gb%"b%" 0 b Hastigheden:   vx(t)=k1=v0 cos()b%"b%" 0 b 0' b%"b%"0 ' %"' %"0 %" %"vy(t)=g t+k2=g t+v0 sin()}%"%" 0 b Stedkoordinaten:5  566x(t)=v0 cos() t+k993=v0 cos() t]b%"b%" 0 b  '  7  788y(t)= g t<<=񀀀=2+v0 sin() t+k::4= g t>񀀀>2+v0 sin() tMb%"b%" Ѐ0 b Beregningafkastehjdeogkastelngde(skudtil sammehjde ):-b%"b%" 0 b y(t)=0<t ( g t+v??0 sin())=0< pb%"b%" 0 b 0' b%"b%"0 ' %"' %"0 %" %"0v%"%"0;v%"v%"t(start!)=0Vt(nedslag!)= VFBz X < 0 @Xdddddddd@Et ddX%<`;%";%" 0 b Kastelngden =xmax=x(tnedslag)=x( VFBz X < 0 @Xdddddddd@E rdd?h:)=v0 cos(;;) ( VFBz X < 0 @Xdddddddd@E rdd?:) b%"b%"  b  '     v = VFBz X < 0 @Xdddddddd@Eb"#Bddz" ߀= XHDz X L 0 @dddddddd@EN"#`Bddz"(  "# 0 b Strstfor=45$(dvs."skrtskud"):xmax= VFBz X < 0 @Xdddddddd@Ec&Bdd z% c&!b%"b%"  0 b Kastehjden =ymax=y( tnedslag)=y( VFBz X <v 0 @Xdddddddd@E3*@ddx?0*)=y( VFBz X < 0 @Xdddddddd@Eu*dd?0*)=*%b%"b%" 0 b  VFBz X <^ 0 @Xdddddddd@Eb dd( ?t߀= VFBz X < 0 @Xdddddddd@Ex Bddz9  ߀=    VFBz X < 0 @Xdddddddd@EbBddzz  ߀= "!XHDz X Ld 0 @dddddddd@Eb >Bddvz z  Ab%"b%" 0 b Strstfor=90$(dvs.lodretskud):ymax= $#VFBz X < 0 @Xdddddddd@E Bdd.z*    b%"b%" Opstilling: P  0 b Tegn!0' b%"b%"0 ' %"' %"0 %" %"@ %"%" Apparatur: s 0 b Krnckekanon,vinkelmler,spndngle,2skruetvinger,stlkugle,karbonpapir,niveaubord,mlestok,mlebnd,hvidtpapir,tape,gl.bordplade/hylde. b%"b%" Forsgetsudfrelse: #  0 b Kanonenfastspndessolidttilbordetvha.de2skruetvinger.Dervlgesdetkraftigetrinpkanonensfjeder,nrdenspndes. b%"b%" 0 b Ialleforsgkanusikkerhedenvurderesvedatskydefleregangepdensammemdevilkuglenrammesammeplet? b%"b%" 0 b I:v0bestemmes Pb%"b%" 0 b Derforetagesetlodretskudtilbestemmelseafv0.Mlskudhjdeny!@b%"b%" 0 b II:Banekurveopmles  !b%"b%" 0 b Hvidtpapirtapesfastpdengl.bordplade/hylde.Forenvalgtvinkel(f.eks.60$)skal "s dernuopmlespunkter,sbanekurvenkanindtegnespmmpapir.Detgresvedatholdebordpladenlodretiengivenafstand,skydemedkanonenogsehvordenrammerbordpladen.Sgentagesskuddet,mensderholdesetkarbonpapiropveddetforventedenedslagspunkt.Pga.plettenerdetsimpeltnokatmlehjdeny󀄀huskat %3! mlefrakanonensudgangshjde!Denvandretteafstandxmlesogs.&#"b%"b%" 0 b III:Skudlngdensomfunktionafvinklen ($b%"b%" 0 b Monterhvidtpapirpniveaubordet,oglglstkarbonpapirovenp.Srgforatjustereniveaubordetshjde,sdetiheleforsgetflugtermedkanonensudgangshjde.Lavnuenseriemlinger,hvorskudlngdenxmaxbestemmesmedforskelligevinkler.p+&"b%"b%" 0 b IV:Skudtilandenhjde P-($b%"b%" 0 b Skydmedkanonen,skuglenrammergulvet.Mlxogy(huskatyregnesnegativ!).@.)%b%"b%" ЇMleresultater: }  I: v0beregnesvha.energibevarelse,ellerformlenforskudhjdenvedlodretskud. ]  II: Banekurvenindtegnespmmpapir.Lignerdetenparabel? =  *q&' ddd Xdd Xdd X%"%"q,d ,kd ,td ,td ,td ,td ,td ,td ,}td ,t +  A((%,   dA@WW /x(m) :((+  ( ((%d : 0(! ( (( 0 0(! ( ( 0 0(! ( ( 0 0(! ( ( 0 0(! (( 0 0(! (( 0 0(! (( 0 4((! (( 4 T((%?! (  (( dT@WW /y(m) <((+ = ((%d < 2(!= (( 2 2(!= ( 2 2(!= ( 2 2(!= ( 2 2(!= ( 2 2(!= ( 2 2(!= ( 2 4((!= ( 41'%=  0   (( 1 III: Tegnkurven,hvorskudlngdenerenfunktionaf. M  *)* d dd kd td td td td td td }td t &'%"%",d ,kd ,ktd ,ktd ,ktd ,td ,td ,t +  A((%, -  dA@jj xmax(m) :((+ 8 ((%d : 0(!8!(( 0 0(!8"( 0 0(!8#( 0 0(!8$( 0 0(!8%( 0 4((!8&( 4 T((%?!8'  (( dT@ ($) <((+ M(((%d < 2(!M)(( 2 2(!M*( 2 2(!M+( 2 2(!M,( 2 2(!M-( 2 4((!M.( 41'%M/ 0   (( 1 IV: Checkmedformlerneangivetiteoriafsnittetomyvrdienpassernogenlunde. ]0 Lavusikkerhedsoverslagpnogleafresultaterne.Ogangiveventuellefejlkilder.{{<%"3FY,SJ,19947