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' = @BA?%,( < +O%,( < +De ' =%(%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =%(D' =4@BBBB%(E' =4 B`BPB`B?<*%( /%,( < +D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(+8+0+ 0 + 0   ^(    6W2?Was ist Geschwindigkeit? Arial Black" Mm  0xN J  KGeschwindigkeit ist die Verbindung von Zeit und der zurckgelegten Strecke.<L'    e   <#c LO  qBeispiele: Ein Sprinter rennt 100 Meter in 9 Sekunden. Ein Autofahrer braucht fr 120 km die Zeit von 1 h 20 min.lr      <y u   0 : Zum Inhalt H  0޽h ? 33___PPT10i.0z9+D=' S= @B +J 0 aY0(    4W2? Geschwindigkeitsmasse Arial Black" Mm(  <0p"  km/h = Kilometer pro Stunde km/min = Kilometer pro Minute km/s = Kilometer pro Sekunde m/s = Meter pro Sekunde m/min = Meter pro Minute  <D# *  c/Wichtige Umrechnung: 1 Stunde = 60 min = 3600 s00  B@ u  0 : Zum Inhalt H  0޽h ? 33___PPT10i.0z9+D=' S= @B +j 0 y$(  $ $ $W2? Zeit und Komma Arial Black" MmF $ < O#"tm  Wenn du mit dem Taschenrechner rechnest, so kann es sein, dass du in der Zeitangabe ein Komma hast. Deshalb ist der Umrechnungstrick mit den gewhnlichen Brchen wichtig. $ <U#   u?1,4 Stunden = 1 4/10 Stunden 4/10 h = 60 min (:10)(x4) = 24 min@@ $ B܉ u  0 : Zum Inhalt H $ 0޽h ? 33___PPT10i.0z9+D=' S= @B + 0 @(    DW2?Durchschnitts geschwindigkeit Arial Black" M}  <2P `  i!Die Angabe km/h ist in der Regel eine Durchschnittsgeschwindigkeit. Wenn also der Tachometer 100 km/h anzeigt, wrde der Fahrer in einer Stunde 100 km weit kommen, wenn er immer gleich schnell fahren knnte. In Wirklichkeit fhrt man mal schneller, mal langsamer oder muss auch anhalten.," d  C <A$MCj04326280000[1]V ~ <d  C <A$MCj04319870000[1]V  Bt u  0 : Zum Inhalt H  0޽h ? 33___PPT10i.0z9+D=' S= @B +@ 0 WOP$(    bW2?Berechnung der Durchschnitts geschwindigkeit Arial Black" Z v p F  #""2 s   <DBP ?W H F T  @`   <JP ?H W F T  @`   <xSP ?W I H  R  @`  <[P ?I W H  T  @`  <p]P ?W KI  R  @`  <lP ?KW I  T  @`  <uP ?W K SStrecke @`  <~P ?W K PZeit @``B   0o ?ZB   s *1 ?KKZB  s *1 ?I I ZB  s *1 ?H H `B  0o ?FF`B  0o ?FZB  s *1 ?W W F`B  0o ?F  <P   A Das weisst du  <P    @ Zwischenzahl   <؋P    <Resultat Xb  0V Xb  06 V XR  0 ]  XR  06 ]    <0P ey Der Sprinter luft 100 m in 9 Sekunden. Welche Durchschnittsgeschwindigkeit hat er drauf (wenn er eine Stunde im gleichen Tempo rennen knnte)? $ Bp u  0 : Zum Inhalt H  0޽h ? 33___PPT10i.0z9+D=' S= @B +6 0 ME((  ( ( bW2?Berechnung der Durchschnitts geschwindigkeit Arial Black" Z v v F (# #""2 s ( <|&#?W H F T  @` ( <P ?H W F T  @` ( <ЮP ?W I H  R  @` ( <HP ?I W H  T  @` ( <P ?W KI  K100 m @`  ( <P ?KW I  K9 s @`  ( <P ?W K SStrecke @`  ( <P ?W K PZeit @``B  ( 0o ?ZB  ( s *1 ?KKZB ( s *1 ?I I ZB ( s *1 ?H H `B ( 0o ?FF`B ( 0o ?FZB ( s *1 ?W W F`B ( 0o ?F ( <lP   A Das weisst du ( <|P    @ Zwischenzahl  ( <$P    <Resultat Xb ( 0V Xb ( 06 V XR ( 0 ]  XR ( 06 ]  ( <XP ey Der Sprinter luft 100 m in 9 Sekunden. Welche Durchschnittsgeschwindigkeit hat er drauf (wenn er eine Stunde im gleichen Tempo rennen knnte)? ( B u " 0 : Zum Inhalt H ( 0޽h ? 33___PPT10i.0z9+D=' S= @B +/ 0 F>"#,(  , , bW2?Berechnung der Durchschnitts geschwindigkeit Arial Black" Z v v F ,# #""2 s , <P ?W H F T  @` , <DQ ?H W F N3600 s @` , < Q ?W I H  R  @` , <Q ?I W H  K1 s @` , <TQ ?W KI  K100 m @`  , <!Q ?KW I  K9 s @`  , <*Q ?W K SStrecke @`  , <3Q ?W K PZeit @``B  , 0o ?ZB  , s *1 ?KKZB , s *1 ?I I ZB , s *1 ?H H `B , 0o ?FF`B , 0o ?FZB , s *1 ?W W F`B , 0o ?F , <,7Q   A Das weisst du , < : 9 X 3600 8 @p ",@pt2 , 6Ԕ"`@] t2  , 6Ԕ"` V pZB !, s *DԔz  V  #, B` u ' 0 : Zum Inhalt H , 0޽h ? 33___PPT10i.0z9+D=' S= @B +N 0 e]0(  0 0 bW2?Berechnung der Durchschnitts geschwindigkeit Arial Black" Z v v F 0# #""2 s 0 <XQ ?W H F M40 km @` 0 <cQ ?H W F N3600 s @` 0 <mQ ?W I H  L11,1 m @` 0 <dtQ ?I W H  K1 s @` 0 <~Q ?W KI  K100 m @`  0 <wQ ?KW I  K9 s @`  0 <Q ?W K SStrecke @`  0 < Q ?W K PZeit @``B  0 0o ?ZB  0 s *1 ?KKZB 0 s *1 ?I I ZB 0 s *1 ?H H `B 0 0o ?FF`B 0 0o ?FZB 0 s *1 ?W W F`B 0 0o ?F 0 <Q   A Das weisst du 0 <Q    @ Zwischenzahl  0 <Q    <Resultat Xb 0 0V Xb 0 06 V XR 0 0 ]  XR 0 06 ]  0 <Q ey Der Sprinter luft 100 m in 9 Sekunden. Welche Durchschnittsgeschwindigkeit hat er drauf (wenn er eine Stunde im gleichen Tempo rennen knnte)? 0 <Q   n  @ : 9 X 3600   0 <Q  H  > : 9 X 3600  0 <Q 9 Z(Antwort: Seine D-Geschw. betrgt 40 km/h)) 0 B, u , 0 : Zum Inhalt H 0 0޽h ? 33___PPT10i.0z9+D=' S= @B +< 0 SKp%(    BW2?Berechnung der bentigten Zeit Arial Black" Z v p  2s   #""2 s  <Q ?Zu s T  @`  <Q ? u Zs T  @`  <Q ?Zv u  R  @`  <Q ? v Zu  V  @`  <Q ?Zxv  R  @`   <Q ? xZv  T  @`   <0Q ?Z2x SStrecke @`   <DS ? 2Zx PZeit @``B   0o ? 22ZB   s *1 ? xxZB  s *1 ? v v ZB  s *1 ? u u `B  0o ? ss`B  0o ? 2 sZB  s *1 ?Z2Zs`B  0o ?2s  <S   A Das weisst du  << S    @ Zwischenzahl   <Q    <Resultat Xb  0V Xb  06 V XR  0 ]  XR  06 ] )  <S y yEin Automobilist ist mit der Tachoangabe von 80 km/h unterwegs. Wie lange wrde er fr eine Strecke von 120 km bentigen?(z-F % B/ u 1 0 : Zum Inhalt H  0޽h ? 33___PPT10i.0z9+D=' S= @B + 0  #4(  4 4 BW2?Berechnung der bentigten Zeit Arial Black" Z v v  2s 4# #""2 s 4 < !S ?Zu s T  @` 4 <4*S ? u Zs T  @` 4 <1S ?Zv u  R  @` 4 <t:S ? v Zu  V  @` 4 <BS ?Zxv  K80 km @`  4 <KS ? xZv  N60 min @`  4 <DS ?Z2x SStrecke @`  4 <l]S ? 2Zx PZeit @``B  4 0o ? 22ZB  4 s *1 ? xxZB 4 s *1 ? v v ZB 4 s *1 ? u u `B 4 0o ? ss`B 4 0o ? 2 sZB 4 s *1 ?Z2Zs`B 4 0o ?2s 4 <P`S   A Das weisst du 4 <dS    @ Zwischenzahl  4 <iS    <Resultat Xb 4 0V Xb 4 06 V XR 4 0 ]  XR 4 06 ] ) 4 <aS y yEin Automobilist ist mit der Tachoangabe von 80 km/h unterwegs. Wie lange wrde er fr eine Strecke von 120 km bentigen?(z-FF  c  4  c t2  4 6o"` Cc t2 !4 6o"`"TB "4 c $D "6C #4 BC u 6 0 : Zum Inhalt H 4 0޽h ? 33___PPT10i.0z9+D=' S= @B + 0 "<Z(  < < BW2?Berechnung der bentigten Zeit Arial Black" Z v v  2s <# #""2 s < <3#?Zu s N120 km @` < <$S ? u Zs T  @` < <@S ?Zv u  L1 km @` < <HS ? v Zu  V  @` < <LS ?Zxv  K80 km @`  < <\S ? xZv  N60 min @`  < <lS ?Z2x SStrecke @`  < <S ? 2Zx PZeit @``B  < 0o ? 22ZB  < s *1 ? xxZB < s *1 ? v v ZB < s *1 ? u u `B < 0o ? ss`B < 0o ? 2 sZB < s *1 ?Z2Zs`B < 0o ?2s < <S   A Das weisst du < <S    @ Zwischenzahl  < <$S    <Resultat Xb < 0V Xb < 06 V XR < 0 ]  XR < 06 ] ) < <S y yEin Automobilist ist mit der Tachoangabe von 80 km/h unterwegs. Wie lange wrde er fr eine Strecke von 120 km bentigen?(z-F < <S   n  @ : 80 X 120   < <S    > : 80 X 120 H < 0޽h ? 33___PPT10i.0z9+D=' S= @B +g 0 ~v$8(  8 8 BW2?Berechnung der bentigten Zeit Arial Black" Z v v  2s 8# #""2 s 8 <S ?Zu s N120 km @` 8 <8S ? u Zs N90 min @` 8 <LS ?Zv u  J1 km @` 8 <S ? v Zu  S 0,75 min    @` 8 <T ?Zxv  K80 km @`  8 <\S ? xZv  N60 min @`  8 <T ?Z2x SStrecke @`  8 <T ? 2Zx PZeit @``B  8 0o ? 22ZB  8 s *1 ? xxZB 8 s *1 ? v v ZB 8 s *1 ? u u `B 8 0o ? ss`B 8 0o ? 2 sZB 8 s *1 ?Z2Zs`B 8 0o ?2s 8 <\#T   A Das weisst du 8 <D(T    @ Zwischenzahl  8 <,T    <Resultat Xb 8 0V Xb 8 06 V XR 8 0 ]  XR 8 06 ] ) 8 <X1T y yEin Automobilist ist mit der Tachoangabe von 80 km/h unterwegs. Wie lange wrde er fr eine Strecke von 120 km bentigen?(z-F 8 <7T   n  @ : 80 X 120   8 <;T    > : 80 X 120  #8 <>T ` o=Antwort: Mit 80 km/h wrde er fr 120 km 90 Minuten brauchen.>> $8 BW u ; 0 : Zum Inhalt H 8 0޽h ? 33___PPT10i.0z9+D=' S= @B +. 0 E=# (     2W2?Berechnung der Strecke Arial Black" Z v v  2s  # #""2 s   <:#?Zu s T  @`   <UT ? u Zs T  @`   <]T ?Zv u  R  @`   <\fT ? v Zu  V  @`   <nT ?Zxv  R  @`   <oT ? xZv  T  @`   <T ?Z2x SStrecke @`   <T ? 2Zx PZeit @``B   0o ? 22ZB   s *1 ? xxZB   s *1 ? v v ZB   s *1 ? u u `B   0o ? ss`B   0o ? 2 sZB   s *1 ?Z2Zs`B   0o ?2s  <T   A Das weisst du  <T    @ Zwischenzahl   <T    <Resultat Xb  0V Xb  06 V XR  0 ]  XR  06 ] %  <T y uEine Velofahrerin ist mit der Tachoangabe von 24 km/h unterwegs. Wie weit kme sie in 2 Stunden im gleichen Tempo?(v/@ # Bf u @ 0 : Zum Inhalt H  0޽h ? 33___PPT10i.0z9+D=' S= @B + 0 "@(  @ @ 2W2?Berechnung der Strecke Arial Black" Z v v  2s @# #""2 s @ <ЦT ?Zu s T  @` @ <`T ? u Zs T  @` @ <ԵT ?Zv u  R  @` @ <T ? v Zu  V  @` @ <$T ?Zxv  K24 km @`  @ <T ? xZv  N60 min @`  @ <dT ?Z2x SStrecke @`  @ <0T ? 2Zx PZeit @``B  @ 0o ? 22ZB  @ s *1 ? xxZB @ s *1 ? v v ZB @ s *1 ? u u `B @ 0o ? ss`B @ 0o ? 2 sZB @ s *1 ?Z2Zs`B @ 0o ?2s @ <T   A Das weisst du @ < T    @ Zwischenzahl  @ <T    <Resultat Xb @ 0V Xb @ 06 V XR @ 0 ]  XR @ 06 ] % @ <T y uEine Velofahrerin ist mit der Tachoangabe von 24 km/h unterwegs. Wie weit kme sie in 2 Stunden im gleichen Tempo?(v/@F  c  @  c t2  @ 6o"` Cc t2 !@ 6o"`"TB "@ c $D "6CH @ 0޽h ? 33___PPT10i.0z9+D=' S= @B + 0 0""LY(  L L 2W2?Berechnung der Strecke Arial Black" Z v v  2s L# #""2 s L <@#?Zu s T  @` L <DU ? u Zs O150 min @` L <DU ?Zv u  R  @` L <%U ? v Zu  V  @` L <86#?Zxv  K24 km @`  L <)U ? xZv  N60 min @`  L <d?U ?Z2x SStrecke @`  L <tHU ? 2Zx PZeit @``B  L 0o ? 22ZB  L s *1 ? xxZB L s *1 ? v v ZB L s *1 ? u u `B L 0o ? ss`B L 0o ? 2 sZB L s *1 ?Z2Zs`B L 0o ?2s L <LU   A Das weisst du L <PU    @ Zwischenzahl  L <TUU    <Resultat Xb L 0V Xb L 06 V XR L 0 ]  XR L 06 ] % L <ZU y uEine Velofahrerin ist mit der Tachoangabe von 24 km/h unterwegs. Wie weit kme sie in 2 Stunden im gleichen Tempo?(v/@F  c  L  c t2 L 6o"` Cc t2 L 6o"`"TB L c $D "6Cl2  L 6o"`@ 3 l2 !L 6o"`V   "L # BCyDEFA;e2Ia.yt@  "` H L 0޽h ? 33___PPT10i.0z9+D=' S= @B + 0 #D+(  D D 2W2?Berechnung der Strecke Arial Black" Z v v  2s D# #""2 s D <B#?Zu s T  @` D <sU ? u Zs O150 min @` D <<}U ?Zv u  R  @` D <|U ? v Zu  X1 min   @` D <h0#?Zxv  K24 km @`  D <̉U ? xZv  N60 min @`  D <8U ?Z2x SStrecke @`  D <,U ? 2Zx PZeit @``B  D 0o ? 22ZB  D s *1 ? xxZB D s *1 ? v v ZB D s *1 ? u u `B D 0o ? ss`B D 0o ? 2 sZB D s *1 ?Z2Zs`B D 0o ?2s D <hU   A Das weisst du D < U    @ Zwischenzahl  D <U    <Resultat Xb D 0V Xb D 06 V XR D 0 ]  XR D 06 ] % D <@U y uEine Velofahrerin ist mit der Tachoangabe von 24 km/h unterwegs. Wie weit kme sie in 2 Stunden im gleichen Tempo?(v/@ D <U   n  @ : 60 X 150   D <U    > : 60 X 150  #D Bb u E 0 : Zum Inhalt H D 0޽h ? 33___PPT10i.0z9+D=' S= @B +W 0 nf #H(  H H 2W2?Berechnung der Strecke Arial Black" Z v v  2s H# #""2 s H <U ?Zu s M60 km @` H <XU ? u Zs O150 min @` H <U ?Zv u  L0,4 km @` H <U ? v Zu  X1 min   @` H <TU ?Zxv  K24 km @`  H <U ? xZv  N60 min @`  H <W ?Z2x SStrecke @`  H <X W ? 2Zx PZeit @``B  H 0o ? 22ZB  H s *1 ? xxZB H s *1 ? v v ZB H s *1 ? u u `B H 0o ? ss`B H 0o ? 2 sZB H s *1 ?Z2Zs`B H 0o ?2s H <W   A Das weisst du H <W    @ Zwischenzahl  H <W    <Resultat Xb H 0V Xb H 06 V XR H 0 ]  XR H 06 ] % H <!W y uEine Velofahrerin ist mit der Tachoangabe von 24 km/h unterwegs. 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