Home Explore TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

Published by Nesibe Aydın Eğitim Kurumları, 2019-08-28 01:12:03

Description: TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

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www.aydinyayinlari.com.tr 11. SINIF BİR BOYUTTA SABİT İVMELİ HAREKET ³ Hareket t 50 ³ Bir Boyutta Sabit İvmeli Hareket t 58 ³ Serbest Düşme t 71 ³ Hava Sürtünmesinin Harekete Etkisi t 74 ³ Aşağı Yönlü Düşey Atış t 77 ³Yukarı Yönlü Düşey Atış t 80 ³ Karma Testler t 84 ³ Yazılı Soruları t 92 ³ Yeni Nesil Sorular t 94 49

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TEST - 3 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. #JSDJTNJOLPOVN-[BNBOHSBGJóJõFLJMEFLJHJCJEJS %PóSVTBMCJSZPMEBIBSFLFUFEFOCJSBSBDOLPOVN- X (m) [BNBOHSBGJóJõFLJMEFLJHJCJEJS +x Konum(X) I II 7x 0 III IV –x t 4x x 2t 3t Zaman 0t 4t #VOBHÌSF IBOHJBSBMLUBDJTNJOI[WFLUÌSÑJMF JWNFWFLUÌSÑBZOZÌOMÑEÑS \" :BMO[** # *WF*** $ * **WF*** \"SBDOU UWFUBOMBSOEBLJI[OOCÐZÐLMÐóÐT- raTZMBj j2 ve j3UÐS % **WF*7 & * ** ***WF*7 #VOB HÌSF j1 j2 WF j BSBTOEBLJ CÑZÑLMÑL JMJöLJTJOBTMES BSBDOJWNFTJTBCJUUJS A) j= j2 = j3 # j> j2 > j3 C) j= j2 > j3 D) j3> j > j2 & j= j3 > j2 2. #JSDJTNJOLPOVN-[BNBOHSBGJóJõFLJMEFLJHJCJEJS 4. #JSDJTNJOLPOVN-[BNBOHSBGJóJõFLJMEFLJHJCJEJS Konum Konum 2x +x x Zaman 0 t 2t Zaman 0 t 2t 3t –x #VOBHÌSF #VOBHÌSF * -U[BNBOBSBMóOEBDJTJNZBWBõMBNõUS * -U WF U-U BSBMóOEBIBSFLFUMJBZOZËO- ** t -U[BNBOBSBMóOEBDJTNJOI[TBCJUUJS EFIBSFLFUFUNFLUFEJS ** UBOOEBIBSFLFUMJZËOEFóJõUJSNJõUJS *** 2t -U[BNBOBSBMóOEBDJTNJOJWNFTJTGSES *** -U BSBMóOEBIBSFLFUMJZBWBõMBNBLUBES ZBSHMBSOEBOIBOHJMFSJEPôSVEVS ZBSHMBSOEBOIBOHJMFSJEPôSVEVS \" :BMO[* # :BMO[** $ *WF*** \" :BMO[* # :BMO[** $ *WF** % **WF*** & * **WF*** % :BMO[*** & **WF*** 1. D 2. C D 4. \"

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TEST - 4 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. )[–[BNBOHSBGJóJõFLJMEFLJHJCJPMBO9 :WF;IB- %PóSVTBMCJSZPMEB,WF-IBSFLFUMJMFSJU=BOOEB SFLFUMJMFSJOJO JWNFMFSJOJO CÐZÐLMÐLMFSJ TSBT JMF BX ZBOZBOBESMBS#VIBSFLFUMJMFSJOI[–[BNBOHSBGJL- a ve a;EJS MFSJõFLJMEFLJHJCJEJS Y )[ H›z 2j K Z jL Y X 0 t 2t 3t Zaman a b i Zaman 0 a > b > iPMEVôVOBHÌSF B9 BYWFBZBSBTOEB- #V IBSFLFUMJMFSJO U BOOEB BSBMBSOEBLJ V[BLML LJJMJöLJOFEJS YPMEVôVOBHÌSF UBOOEBBSBMBSOEBLJV[BLML LBÀYUJS \" # 3 C) 2 D) 5 & 2 2 A) aX = aY = a; # BX > aY > a; C) a; > a > a D) a; > a > a X Y Y X & BX > a; > aY 2. %PóSVTBM ZPMEB IBSFLFU FEFO , WF - DJTJNMFSJOJO 4. %PóSVTBMZËSÐOHFEFBZOBOEB BZOZFSEFOIBSF- I[-[BNBOHSBGJLMFSJõFLJMEFLJHJCJEJS$JTJNMFS I[- LFUFCBõMBZBO,WF-DJTJNMFSJOJOI[-[BNBOHSB- MBSFõJUPMEVóVBOEBZBOZBOBESMBS GJLMFSJõFLJMEFLJHJCJEJS H›z (m/s) L H›z K 30 K KL 20 0 2t 4t 6t Zaman L LK Zaman(s) 0 #VOB HÌSF CBöMBOHÀUB CV DJTJNMFSJO BSBMBSO- #VOBHÌSF DJTJNMFSLBÀUBOOEBUFLSBSZBOZB- EBLJV[BLMLLBÀNEJS OBHFMJSMFS \" # $ % & \" # $ % & 1. B 2. D C 4. E

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www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 .0%·- 11. SINIF .qk(7$k, .qk(7$k, ,POVN-[BNBOHSBGJóJOJOFóJNJI[EFóJõF- j OJOJ I[-[BNBOHSBGJóJOJOFóJNJIBSFLFUMJOJO a (Fnet) JWNFTJOJWFSJS&óJNBTMOEBUÐSFWEFNFLUJS :BOJ,POVN-[BNBOGPOLTJZPOVOVO [BNBOB #JS DJTNJO I[ WFLUËSÐ JMF JWNF WFLUËSÐ BZO HËSFCJSJODJUÐSFWJI[ LPOVN-[BNBOGPOLTJ- ZËOMÐJTFJWNFB[BMTBEBDJTJNI[MBOS ZPOVOVO[BNBOBHËSFJLJODJUÐSFWJJWNFZJWF- SJS5ÐSFWLPOVTVOVTOGUBËóSFOFDFLTJOJ[ j a (Fnet) #JSDJTNJOI[WFLUËSÐJMFJWNFWFLUËSÐ[UZËOMÐ .qk(7$k, JTFJWNFB[BMTBEBDJTJNZBWBõMBS #JSIBSFLFUMJZFFULJFEFOOFULVWWFU-[BNBO HSBGJóJOEFOIBSFLFUMJOJOJWNF-[BNBOHSBGJóJ ÖRNEK 14 ¿J[JMFCJMJS öMLI[TGSPMBOLHLÐUMFCJSDJTNJ\"INFUõFLJMEFLJHJ- FOFU =NB bi IBSFLFUFUUJSNFLUFEJS\"INFUDJTNFNFUSFCPZVODB )BSFLFUMJZFFULJFEFOOFULVWWFUJMFJWNFBZO /MVLLVWWFUVZHVMVZPS%BIBTPOSB\"INFUZPSVMVODB LVWWFUJ/EFóFSJOFEÐõÐSÐZPS ZËOMÐEÐS j ÖRNEK 15 \"INFUDJTNJUPQMBNNFUSFIBSFLFUFUUJSEJôJOFHÌ- öML I[ TGS PMBO CJS DJTNF EPóSVTBM ZPM CPZVODB FULJ SF DJTNJOUÑNZPMCPZVODBI[-[BNBOHSBGJôJOBTM FEFOOFULVWWFU-[BNBOHSBGJóJõFLJMEFLJHJCJEJS PMVS 4ÑSUÑONFMFSÌOFNTJ[EJS F(N) F =NB F =NB 4 net net 4 = 2.a1 2 = 2.a2 a =NT2 a =NT2 0 t(s) 6 1 2 24 NFUSFZPMCPZVODB :PMVOHFSJLBMBONFUSF DJTNJOJWNFTJ CPZVODBDJTNJOJWNFTJ –2 2 = 2 + 2.a.x [BNBOT[I[EFOLMFNJLVMMBOBSBL DJTNJO j j son 0 $JTNJOLÑUMFTJLHPMEVôVOBHÌSF DJTNJOTTPOSB BMEôZPMMBSTPOVOEBI[CVMVOBCJMJS I[LBÀNTPMVS j2 = 0 + 2.2.16 #VMEVôVNV[TPOVÀMBSHSBGJôFZFSMFöUJ- Fnet =NB 4 = 2.a son a =NT2 -TBSBT j = 8 m/s rirsek. a = 0 ( 2 -TBSBT son a = -1 ( 4 -TBSBT j2 = ^ 8 h2 + 2.1.18 j(m/s) 10 son j = 10 m/s 8 son t1 = 4 t2 = 6 t(s) aj 4 (SBGJôJOFôJNJJWNFZJWFSFDFôJJÀJO 2 2 8 10 - 8 0 24 6t t a= a= 246 –1 0 t 2 t -t a -UHSBGJôJOJOBMUOEBLJBMBOI[EFôJöJNJOJWFSJS 21 8 2 2= &t =4s 1= =t =6s t t -4 2 2 14.4BZGBhEB 15. 2

11. SINIF .0%·- /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayinlari.com.tr ÖRNEK 16 ÖRNEK 18 %PóSVTBM CJS ZPMEB JML I[ NT PMBO DJTNF FULJ FEFO #JSDJTNFBJULPOVN-[BNBOHSBGJóJõFLJMEFLJHJCJEJS OFULVWWFU-[BNBOHSBGJóJõFLJMEFLJHJCJEJS X F(N) X 6 0 24 6 t(s) I II III t 0 t 2t 3t –4 $JTNJOLÑUMFTJLHPMEVôVOBHÌSF DJTJNTTPOSB #VOB HÌSF IBOHJ BSBMLUB DJTJN EFOHFMFONJö LVW- ZFSEFôJöUJSNFTJLBÀNFUSFEJS WFUMFSFULJTJOEFEJS F = NB LVMMBOMBSBL DJTNJO [BNBO BSBMLMBSOEB JWNFTJ 9-UHSBGJôJOJOFôJNJI[WFSJS#VOBHÌSF **WF***BSBMLUB DJTNFFULJFEFOOFULVWWFUTGSPMVS net CVMVOVS j a 16 3 12 t .qk(7$k, 246 )BSFLFUQSPCMFNMFSJOEF[BNBOLBWSBNOB¿PL 10 EJLLBUFEJOJ[±SOFóJO IBSFLFUMJOJOTTPOSB 0 2 4 6t ZFSEFóJõUJSNFTJTPSVMVZPSTB - BSBTOEB- –2 0 LJEVSVNBCBLMS)BSFLFUMJOJOTBOJZFEFLB¿ NFUSFZFSEFóJõUJSEJóJTPSVMVSTB JMFT BSB- a-UHSBGJôJOJOBMUOEBLJBMBO j -UHSBGJôJOEF - 4 ) TOBCBLMS I[EFôJöJNJOJWFSJS BSBTBMBOCVMVOVS 6.2 x = + 10.2 + 16.2 = 58 tir. 2 ÖRNEK 19 ÖRNEK 17 %PóSVTBM CJS ZPMEB DJTNJO I[- [BNBO HSBGJóJ õFLJMde- ki giCJEJS #JSIBSFLFUMJZFBJU9-UHSBGJóJõFLJMEFLJHJCJEJS j X 20 X 15 I II 10 0 III IV –X t 5 t 0 123 4 #VOB HÌSF IBOHJ BSBMLUB IBSFLFUMJZF FULJ FEFO OFU $JTNJOTEFLJZFSEFôJöUJSNFTJ91 TEFLJZFSEF- LVWWFUIBSFLFUMJOJOIBSFLFUZÌOÑZMFBZOES X1 PSBOLBÀUS ôJöUJSNFTJ92 ise X2 /FU LVWWFU JMF IBSFLFU ZÌOÑ BZO PMVSTB IBSFLFUMJ I[MBOS /FULVWWFUJMFIBSFLFUZÌOÑ[UJTFIBSFLFUMJZBWBöMBS#VOB j 5.1 5 HÌSF **WF*7BSBMLUBIBSFLFUMJI[MBONöUS 20 X= = 12 2 .qk(7$k, 15 #JSDJTNFFULJFEFOOFULVWWFUTGSZBEBIBSF- ^ 15 + 20 h.1 35 LFUMJEFOHFMFONJõLVWWFUMFSFULJTJOEFJTFDJTJN 10 X= = EVSVZPSJTFEVSNBZB JMLI[WBSJTFTBCJUI[M 22 2 IBSFLFUZBQNBZBEFWBNFEFS 5 X2 X1 X = 1 0 1234 1 t X7 2 58 17.**WF*7 1 18. **WF*** 19. 7

www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 .0%·- 11. SINIF ÖRNEK 20 ÖRNEK 23 #JS BSB¿ EPóSVTBM CJS ZPMEB NT2 CÐZÐLMÐóÐOEF TBCJU #JS ZBZB NT TBCJU I[MB PUPCÐT EVSBóOB EPóSV LP- JWNFZMFTBOJZFI[MBOEóOEBNZFSEFóJõUJSJZPS õVZPS %VSBóB NFUSF LBMB PUPCÐT BZO ZËOEF TBCJU #VOBHÌSF NT2åJWNFJMFI[MBONBZBCBõMZPS B \"SBDOJMLI[LBÀNTEJS C \"SBÀ NFUSFOJO TPOVOEB BZO JWNFZMF ZB #VOB HÌSF ZBZB PUPCÑTF FO GB[MB LBÀ NFUSF ZBLMBöBCJMJS WBöMBNBZBCBöMBSTBLBÀTBOJZFTPOSBEVSVS 0UPCÑTÑO I[ NT PMVODBZB LBEBS ZBZB PUPCÑTMF BSBTO- EBLJNFTBGFZJB[BMUS0UPCÑTÑOI[NTZFHFÀUJôJBOEBO a) b) JUJCBSFOPUPCÑTMFZBZBBSBTOEBLJNFTBGFBSUBS j j(m/s) j0+80 j(m/s) j0 100 PUPCÑT Alan = 1200 yaya j = a.t 6 6 = 3.t t 0 t(s) t=2s 100 t 0 20 =4 0 t=2 t(s) t a j + 80 + j k t = 25 s :BZBOOPUPCÑTUFOGB[MBBMEôZPM .20 = 1200 2 j = 20 m/s :BOJZBZBPUPCÑTUFONGB[MBZPMBMS-=NZBZB PUPCÑTFZBLMBöS ÖRNEK 21 ÖRNEK 24 öMLI[NTPMBOCJSDJTJNEPóSVTBMZËSÐOHFEFNT2 öOJõFHF¿FOCJSV¿BóOUFLFSMFLMFSJZFSFEFóEJóJBOEBI- MJLTBCJUJWNFJMFI[MBOZPSTBOJZFTPOSB [LNIEJS6¿BLCJSTÐSFCVI[MBHJEJQNT2 lik iv- NFJMFEÐ[HÐOZBWBõMBZBSBLNFUSFMJLZPMVOTPOVO- B $JTNJOI[LBÀNTPMVS EBEVSVZPS C $JTNJOBMEôZPMLBÀNFUSFEJS B 6ÀBLEVSVODBZBLBEBSLBÀTBOJZFHFÀFS a) json = j0 +BU C X = j .t + 1 2 C 6ÀBôOQJTUUFLJPSUBMBNBI[LBÀNTEJS json = 20 + 2.10 json =NT 02 at X = 20.10 + 1 .2.^ 10 h2 B LNI=NT C / Tx 2 j= X = 300 m j ort / Tt #VTPSVI[-[BNBOHSBGJôJ 80 80 t = a = 4 2400 j= ÀJ[JMFSFLUFÀÌ[ÑMFCJMJS t = 20 s ort 40 0t t j = 60 m/s t+20 ort ÖRNEK 22 %PóSVTBMCJSZPMEBTBCJUJWNFJMFI[MBOBSBLIBSFLFUFEFO ÖRNEK 25 CJSDJTJNJLJOPLUBBSBT OEBLJNMJLZPMVTBOJZFEFBM- 0UPNPCJMõPGËSMFSJOJOOPSNBMSFBLTJZPOTÐSFTJTBOJZF- EJSNTTBCJUI[MBHJEFOCJSPUPNPCJMJOõPGËSÐLSN- ZPS$JTNJOJLJODJOPLUBEBOHF¿UJóJBOEBLJI[NTJTF [ õó HËSÐQ GSFOF CBTZPS NT2 TBCJU JWNF JMF EÐ[- HÐOZBWBõMZPS B $JTNJOCJSJODJOPLUBEBOHFÀFSLFOLJI[LBÀNT EJS #VOBHÌSFõPGÌSJöBSFUJHÌSEÑLUFOLBÀTBOJZFTPO- SBEVS VS C $JTNJOJWNFTJLBÀNT2EJS a) j(m/s) C 40 - j 40 - 20 40 0 j0 a= = 44 Alan = 120 m 2 )BSFLFUJOI[-[BNBOHSBGJôJÀJ[JMJSTF a = 5 m/s t j(m/s) 24 24 = 3 (ivme) 04 t-1 3t - 3 = 24 (j0 + 40).4 = 120 01 t(s) 3t = 27 2 j0 = 20 t t=9s 20. B C 21. B C 22. B C 12 24.B C 25. 9

TEST - 6 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. %PóSVTBM CJS ZPMEB CJS PUPNPCJM EVSHVO IBMEFO 4. %PóSVTBMCJSZPMEBI[NTPMBOCJSBSB¿TBCJUJW- a = NT2 JWNF JMF EÐ[HÐO I[MBOBSBL I[O NFJMFI[MBOBSBLTBOJZFEFI[ONTZF¿- NTAZF¿LBSELUBOTPOSB NT2åMJLTBCJUJWNF LBSZPS JMFZBWBõMBZQEVSVZPS #VOBHÌSF BSBÀCVTÑSFEFLBÀNFUSFZPMBMNö- #VOB HÌSF PUPNPCJMJO PSUBMBNB I[ LBÀ NT US EJS \" # $ % & \" # $ % & 2. %PóSVTBMCJSZPMEBCJSBSBCBNT2åMJLTBCJUJWNF 5. %PóSVTBMCJSZPMEBEVSHVOIBMEFOIBSFLFUFCBõMB- JMF EVSHVO IBMEFO IBSFLFUF HF¿FSFL T I[MBO- ZBO CJS IBSFLFUMJ NT2 TBCJU JWNF JMF IBSFLFU FU- ZPS,B[BOEóI[MBTBOJZFTBCJUI[MBHJEJZPSWF NFLUFEJS NT2MJLTBCJUJWNFJMFZBWBõMBZBSBLEVSVZPS #VOBHÌSF IBSFLFUMJOJO TBOJZFJÀJOEFBMEô #VOBHÌSF BSBDOBMEôUPQMBNZPMLBÀNFUSF- ZPMLBÀNFUSFEJS EJS \" # $ % & \" # $ % & %PóSVTBM CJS ZPMEB 9 = LPOVNVOEB EVSNBLUB %PóSVTBMCJSZPMEBLNIMJLI[MBHJEFOCJSPUP- PMBOCJSBSB¿U=BOOEBTBCJUJWNFJMFI[MBONBZB NPCJM TBCJU JWNF JMF ZBWBõMBZBSBL NFUSFMJL ZPM CBõMBZQTBOJZFEFNZPMBMZPS CPZVODBI[OLNIFEÐõÐSÐZPS #VOBHÌSF BSBDOY=NLPOVNVOEBLJI[ #VOBHÌSF PUPNPCJMJOZBWBöMBNBTLBÀTBOJZF LBÀNTEJS TÑSNÑöUÑS \" # $ % & \" # $ % & 1. \" 2. D B 70 4. E 5. C C

www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 .0%·- 11. SINIF 4FSCFTU%ÑöNF ÷MJöLJMJ,B[BONMBS )BWBEJSFODJOJOJINBMFEJMEJóJPSUBNEBEÐõFODJTJNMFSJOIBSFLFUMFSJOJBOBMJ[FEFS 4FSCFTU%ÑöNF a = g = 10 m/s2 )BSFLFUJOJWNFTJZFS¿FLJNJJWNFTJEJS 7$1,0%m/*m )BSFLFUEFOLMFNMFSJ %ÐOZBZÐ[FZJOEFOCFMMJCJSZÐLTFLMJLUFOTFSCFTU )[ j) CSBLMBO ZB EB CFMMJ CJS I[MB GSMBUMBO DJTJNMFS EÐOZBOO ¿FLJN LVWWFUJOEFO EPMBZ ZFSZÐ[ÐOF t ;BNBO U HFMJSMFS$JTJNMFSFFULJFEFOCV¿FLJNLVWWFUJOF 0 DJTNJOBôSMôEFOJS –h #ÐZÐLMÐóÐ G = mg bBóOUTZMB CVMVOVS g ZFS¿FLJNJ JWNFTJEJS #J- –j SJNLÐUMFZFFULJFEFOZFSJO¿FLJNLVWWFUJOF çe- LJN BMBO öJEEFUJ WFZB ZFSÀFLJNJ JWNFTJ de- jmU HSBGJóJOJOBMUOEBLBMBOBMBODJTNJOEÐõFSLFOBME- OJS$JTNJOZFSZÐ[ÐOFPMBOV[BLMóOBCBóMPMB- óZPMV mI WFSFDFóJOEFO SBL EFóJõJS \"ODBL ZFSZÐ[ÐOF ZBLO NFTBGFMFS- mI= ^ –j h . t >–g = –j H EF CV EFóJõJN ËOFNTFONF[ WF ZFS¿FLJNJ TBCJU g =NT2PMBSBLLBCVMFEJMFCJMJS 2t ( –g . t) . t ôFIJS :FS¿FLJNJJWNFTJ NT2) mI= \"OLBSB 2 öTUBOCVM I= 1 HU2,POVN-[BNBOEFOLMFNJ -POESB 2 1BSJT /FX:PSL –j = g . t )FSIBOHJCJSBOEBLJI[ #B[õFIJSMFSJOZFSÀFLJNJJWNFMFSJWFSJMNJõUJS h = 1 g.t2 JGBEFTJOEF ZBLMBõLEFóFSJH NT2 2 )BWBPSUBNOEBBZOZÐLTFLMJLUFOCSBLMBOHF- OJõ CJS LBóUMB LÐ¿ÐL CJS UPQ GBSLM [BNBOMBSEB PMBO FOMFNMFWFZÐLTFLMJLMFSFHËSFEFóJõFCJMFOZFS- ZFSFEÐõFSMFS IBWBT[PSUBNEBBZOEFOFZUFL- ¿FLJNJJWNFTJOJOCÐZÐLMÐóÐJõMFNMFSEFLJLPMBZMLJ¿JO SBSMBOSTBBZOBOEBZFSFEÐõFSMFS#VGBSLMMóO g =NT2BMSTBL TFCFCJIBWBOOHËTUFSNJõPMEVóVEJSFO¿LVWWFUJ- EJS#JS¿PLBUõIBSFLFUJOEFCVEJSFO¿LVWWFUJJI- h = 1 .10.t2 & h = 5t2 PMVS NBMFEJMNFLUFEJS 2 :FSZÐ[ÐOEFILBEBSZÐLTFLMJLUFOJMLI[T[CSBLMBO #VOBHËSFDJTJNIBWBTÐSUÐONFTJOJOËOFNTJ[PMEV- CJSDJTNJOZBQUóIBSFLFUFEFOJS óVPSUBNEB N )BWBEJSFODJOJOJINBMFEJMEJóJ UTÐSFEFILBEBSMLZÐLTFLMJLEÐõNÐõWFI[EBj j0 = 0 PSUBNEB DJTJN ZFS¿FLJNJ LVW- LBEBSJTF WFUJOJOFULJTJZMFEÐ[HÐOI[MB- G=Ng OBOIBSFLFUZBQBS I= 1 gt2 j =HUPMVS h 2 FOFU =NB(=NH yer mg 0 IBMEF I ZÐLTFLMJóJ 2 t TÐSF EF EÐõFS I[ EB a= 2 j PMVS#FO[FSõFLJMEFI I I ZÐLTFLMJL- m MFSJOJ 3 t, 4 t , 5 t . . . ,EÐõFOWFCVTÐSFTPSVOEB- LJI[MBSEBTSBTZMB 3 j, 4 j , 5 j õFLMJOEFPMVS #VEVSVNVBõBóEBLJõFLJMEFLJHJCJHËTUFSFDFLPMVS- TBL j 71

11. SINIF .0%·- /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayinlari.com.tr Süre (t) )[ j) ÖRNEK 28 j0 = 0 #JSDJTJNõFLJMEFLJ,EÐ[FZJOEFOTFSCFTUEÐõNFZFCSB- h LMELUBOUTÐSFTPOSB-EÐ[FZJOEFOHF¿JZPS tj h 2t 2j h j0 = 0 3t 3j K h 2j 2t h h1 L 5t 5j h2 h –... õFLMJOEFPMVS Yer –... ÖRNEK 26 $JTJNTFSCFTUCSBLMELUBOUTÑSFTPOSBZFSFÀBSQ- UôOBHÌSF h1 PSBOLBÀUS 4FSCFTU EÐõNFZF CSBLMBO CJS DJTNJO ZFSF ¿BSQNB I- [NTEJS h2 $JTNJOI[OONTPMEVôVBOEBZFSEFOZÑLTFLMJ- ôJLBÀNEJS (g =NT2 IBWBEJSFODJÌOFNTJ[ $JTNJOI[-[BNBOHSBGJôJOJÀJ[FMJN j $JTNJOI[-[BNBOHSBGJôJOJÀJ[FMJN j 0 t 3t t j = g.t h1 0 t1 = 3 t2 = 5 t(s) –j h2 –30 –3j –50 - j.t j = g. t h= h 50 = 10.t2 j t2 =TCVMVOVS 12 1 = 10.t1 jt1 =TCVMVOVS 1 HSBGJLUFUBSBMCÌMHFOJOBMBODJTNJOZFSEFOZÑLTFLMJôJOJWFSJS &= h = d - j - 3j n.2t h 8 ^ 30 + 50 h.2 5BSBMCÌMHFOJOBMBO= 2 2 22 \"=N ÖRNEK 29 ÖRNEK 27 4FSCFTUEÐõNFZFCSBLMBOCJSDJTJNIBSFLFUJOJOTPOJLJ TBOJZFTJJ¿JOEFNZFSEFóJõUJSJZPS #VOBHÌSF DJTJNLBÀNZÑLTFLUFOCSBLMNöUS (g =NT2 IBWBEJSFODJÌOFNTJ[ \"ZO PSUBNEB I WF I ZÐLTFLMJóJOEFO TFSCFTU CSBLMBO $JTJNIBWBEBUTÑSFLBMSTB CVEVSVNEB ,WF-DJTJNMFSJZFSFjK ve jLCÐZÐLMÐóÐOEFI[JMF¿BS- QZPS 1 gt2 - 1 g^ t - 2 h2 = 120 olur. 22 #VOBHÌSF jK / jLPSBOLBÀUS )BWBEJSFODJÌOFNTJ[ 1 .10.t2 - 1 .10^ t - 2 h2 = 120 12 22 h = g.t 1 2 2 - 5^ t - 2 h2 = 120 2 h = 1 .10^ 7 h2 g.t 5t 2 4h = 2K t 2 - ^ t - 2 h2 = 24 h = 245 m K t & =2 12 t 2 ^ 2 h h= g.t - - 4t + 4 = 24 L t t 2L 2 - 2 + 4t - 4 = 24 t t j = g.2t t = 7 saniye K )[-[BNBOHSBGJôJÀJ[JMFSFLUFÀÌ[ÑMFCJMJS = 2 olur j = g.t L 80 27. 2 72 1 29. 245 28. 8

4&3#&45%·õ.& TEST - 7 1. \"ZOPSUBNEBLJJLJDJTJNõFLJMEFLJ,WF-OPLUBMBSO- )BWB TÐSUÐONFTJOJO JINBM FEJMEJóJ BZO PSUBNEB EBOBZOBOEBTFSCFTUEÐõNFZFCSBLMZPS CVMVOBON ve m2LÐUMFMJDJTJNMFSBZOZÐLT FLMJLUFO TFSCFTUCSBLMZ PSMBS L N1 N2 K h2 hh h1 Yer Yer ,EFOCSBLMBODJTJNZFSFÀBSQUôBOEB-EFO #VOBHÌSF CSBLMBODJTJN,OJOEÑ[FZJOEFOHFÀUJôJOFHÌ- * $JTJNMFSJOZFSF¿BSQNBTÐSFMFSJFõJUUJS SF h1 PSBOLBÀUS )BWBEJSFODJÌOFNTJ[ ** $JTJNMFSJOZFSF¿BSQNBI[MBSFõJUUJS h2 *** $JTJNMFSJO ZFSF ¿BSQNB I[MBSOO FõJU PMBCJM A) 1 # 1 C) 1 D) 1 & 1 NFTJJ¿JOLÐUMFMFSJOJOWFõFLJMMFSJOJOBZOPMNBT 2 4 6 8 16 HFSFLJS ZBSHMBSOEBOIBOHJMFSJkesinlikleEPôSVEVS \" :BMO[* # :BMO[** $ :BMO[*** % *WF** & * **WF*** 2. \"ZO PSUBNEB i\" # $ OPLUBMBSOEBO N N N LÐUMFMJDJTJNMFSTFSCFTUCSBLMZ PSi A B 4. #FMJSMJCJSIZÑLTFLMJôJOEFOTFSCFTUCSBLMBOCJS N N DJTJNJÀJO 9h C N * )FSTBOJZFEFBMEóZPM CJSËODFLJTBOJZFEFBM- 16h EóZPMVOLBUES 4h ** )FSTBOJZFEFBMEóZPM CJSËODFLJTBOJZFEFBM- EóZPMEBONFUSFGB[MBES Yer *** )FSTBOJZFEFLB[BOEóI[CJSËODFLJTBOJZF- $JTJNMFSJO IBWBEB LBMNB TÑSFMFSJ U\" UB WF UC EFLB[BOEóI[OCJSLBUES BSBTOEBLJJMJöLJOFEJS )BWBEJSFODJÌOFNTJ[ ZBSHMBSOEBOIBOHJMFSJEPôSVEVS A) tA = t# = tC # U# > tA > tC (g =NT2 TÑSUÑONFMFSÌOFNTJ[ C) tC > tA > t# D) tA > t# > tC \" :BMO[* # :BMO[** $ *WF** & U# > tA = tC % **WF*** & * **WF*** 1. \" 2. B D 4. D

11. SINIF .0%·- /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayinlari.com.tr )BWB4ÑSUÑONFTJOJO)BSFLFUF&ULJTJ ÷MJöLJMJ,B[BONMBS 11.1.4.4. : %ÐõFODJTJNMFSFFULJFEFOIBWBEJSFO¿LVWWFUJOJOCBóMPMEVóVEFóJõLFOMFSJBOBMJ[FEFS 11.1.4.5. : -JNJUI[LBWSBNOB¿LMBS )BWB4ÑSUÑONFTJOJO)BSFLFUF&ULJTJ 0 IBMEF MJNJU I[B VMBõBO CJS DJTNF FULJ FEFO 7$1,0%m/*m LVWWFUMFS K j0 = 0 Gs = L \" j 2 NHL\"j2 mg L NHGs j jL jM > jL NHGs NH j = k.A M jN = jM NHGs jM jN = jP NHGs #B[DJTJNMFSJ¿JOIBSFLFUEPóSVMUVTVOBEJLPMBO FOCÐZÐLLFTJUBMBOMBSBõBóEBLJHJCJEJS N yer jN P jP )BWBTÐSUÐONFTJOJOPMEVóV CJS PSUBNEB , OPL- r r r 2r UBTOEBO TFSCFTU CSBLMBO CJS DJTNF FULJ FEFO ZFS¿FLJNJLVWWFUJ DJTJNJMFIBWBNPMFLÐMMFSJBSB- \"ÕS2 \"ÕS2 r TOEBPMVõBCJMFDFLTÐSUÐONFLVWWFUJOEFOCÐZÐL \"ÕS2 PMBDBóJ¿JODJTJNIBWBEBBTMLBMNBZQEÐõNF- \"ÕS2 ZFCBõMBSWF-OPLUBTOEBOjLI[JMFHF¿FS:B- QMBOEFOFZMFSWFHË[MFNMFSJMFBUõIBSFLFUJZB- )BWBEJSFODJFULJTJOEFBUõIBSFLFUJZBQBODJTJN- QBOCJSDJTNFFULJFEFOTÐSUÐONFLVWWFUJDJTNJO MFSJ¿JOI[[BNBOHSBGJLMFSJ I[BSUUL¿BBSUBS ôFLJMEF.OPLUBTOBLBEBSI[BSUBSLFO.OPL- 1. )[ j) 2. )[ j) ;BNBO UBTOEBO TPOSB TBCJU I[ JMF IBSFLFUJOJ TÐSEÐSÐS 0 0 $JTNJOIBSFLFUJTSBTOEBVMBõBCJMFDFóJCVNBL- ;BNBO j0 TJNVN j.) I[EFóFSJOFMJNJUI[ EFOJS $JTJNMJNJUI[BVMBõUóBOEBDJTNFFULJFEFOOFU jMJN jMJN LVWWFUTGSPMVS:BOJDJTNFFULJFEFOTÐSUÐONF (j0 = 0) (j0 < jMJNJU) LVWWFUJDJTNJOBóSMóOBFõJUPMVS :BQMBOEFOFZMFSTPOVDVOEBBUõIBSFLFUJZBQBO 3. )[ j) ;BNBO CJS DJTNF FULJ FEFO TÐSUÐONF LVWWFUJOJO CÐZÐL- MÐóÐ 0 jMJN fs =L\"j2 j0 õFLMJOEFIFTBQMBONõUS (j0 > jMJNJU) j: $JTNJOI[ k: )BWBJMFDJTJNBSBTOEBLJTÐSUÐONFLBUTBZT \"$JTNJOIBSFLFUEPóSVMUVTVOBEJLPMBOFO CÐZÐLLFTJUBMBOPMBSBLUBONMBOS 74

www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 .0%·- 11. SINIF ÖRNEK 30 :VLBS EPôSV BUMBO DJTNF FULJ FEFO NLÐUMFMJCJSDJTJNIZÐLTFLMJóJOEFOTFSCFTUCSBLMNõUS LVWWFUMFSöFLJMEFLJHJCJEJS K Fs = k.A.j2 $JTNJOI[B[BMULÀB's =L\"j2CB- G = mg ôOUTOBHÌSFDJTNFFULJFEFOIBWB EJSFOÀ LVWWFUJOJO CÑZÑLMÑôÑ B[BMS L #VEVSVNEB*WF**EPôSVPMVS j /FULVWWFUJTF'SOJOCÑZÑLPMEVôVBSBMLUBCÑZÑLPMVS *** EPôSV M $FWBQ* **WF*** j Yer ÖRNEK 32 $JTNJO-WF.OPLUBMBSOEBLJI[CÑZÑLMÑLMFSJj ol- )BWBPSUBNOEBCJSDJTJNEÐõFZZVLBSZËOMÐBUMZPS EVôVOBHÌSF L * | KL |BSBTOEBDJTNJOBóSMóDJTNFFULJFEFOIBWB j0 EJSFODJLVWWFUJOEFOCÐZÐLUÐS K $JTNJOJMLI[j0 ZFSFÀBSQNBI[jyerÀLöTÑSFTJ ** |-.|BSBTOEBDJTNJOBóSMóDJTNFFULJFEFOIBWB tÀLöJOJöTÑSFTJUJOJöPMEVôVOBHÌSF EJSFO¿LVWWFUJOFFõJUCÐZÐLMÐLUFEJS * jjZFS *** $JTNJOZFSF¿BSQNBI[jEFOCÐZÐLUÐS ** t¿LõUJOJõ *** t¿Lõ < tJOJõ ZBSHMBSOEBOIBOHJMFSJEPôSVEVS *7 j > jZFS JGBEFMFSJOEFOIBOHJMFSJEPôSVEVS Fs $JTNJOBôSMô'SEFOCÑZÑLTFDJTJNI[MBOS $JTJN,-BSBTOEBI[MBONöUS *EPôSV $JTJN IBWB PSUBNOEB BUMEô JÀJO IBWB EJSFODJOEFO EPMB- ZFOFSKJLBZCFEFSWFZFSFJMLBUMEôI[EBEBIBLÑÀÑLI[MB G = mg $JTNJO BôSMô 'S ZF FöJU JTF DJTJN TBCJU I[- ÀBSQBS *ZBOMö *7EPôSV M IBSFLFU FEFS $JTJN -. BSBTOEB TBCJU I[M $JTNJOÀLöUBLJPSUBMBNBI[OOCÑZÑLMÑôÑJOJöUFLJPSUBMB- NBI[MBSCÑZÑLPMEVôVJÀJOÀLöTÑSFTJJOJöTÑSFTJOEFOLÑ- IBSFLFUFUNJöUJS **EPôSV ÀÑLPMVS **ZBOMö ***EPôSV $FWBQ***WF*7 $JTJN-OPLUBTOEBMJNJUI[BVMBöUôJÀJOI[EFôJöNF[ ***ZBOMö $FWBQ*WF** ÖRNEK 31 NLÐUMFMJCJSDJTJNEÐõFZZVLBSEPóSVBUMNõUS N j=0 j 2 M 2j L 4j K Yer $JTNJO, - .WF/OPLUBMBSOEBLJI[öFLJMEFLJHJ- CJPMEVôVOBHÌSF * ,- BSBTOEB DJTNF FULJ FEFO IBWB EJSFO¿ LVWWFUJ -.BSBMóOEBLJOEFOCÐZÐLUÐS ** ./BSBTOEBDJTNFFULJFEFOIBWBEJSFO¿LVWWFUJ EJóFSBSBMLMBSBHËSFFOLÐ¿ÐLUÐS *** $JTNFFULJFEFOOFULVWWFU,-BSBTOEBFOCÐZÐL- UÐS ZBSHMBSOEBOIBOHJMFSJEPôSVEVS *WF** * **WF*** 75 ***WF*7

TEST - 8 )\"7\"4·35·/.&4÷/÷/)\"3&,&5&&5,÷4÷ 1. )BWB TÐSUÐONFTJOJO PMEVóV CJS PSUBNEB ZFSEFO 2. ,ÐUMFMFSJ FõJU , WF - DJTJNMFSJ BZO PSUBNEB BZO CFMMJCJSZÐLTFLMJLUFONLÐUMFMJDJTJNTFSCFTUCSBLM- ZÐLTFLMJLUFOBZOBOEBTFSCFTUCSBLMZPSMBS,OJO ZPS -EFOEBIBËODFZFSFEÐõUÐóÐHË[MFOJZPS N j0 = 0 r 2r Yer KL #VOBHÌSF DJTNJOZFSFPMBOV[BLMôOO[BNB- #VOBHÌSF OBCBôMEFôJöJNHSBGJôJBöBôEBLJMFSEFOIBOHJ- * )BWBOODJTJNMFSFVZHVMBEóCJSEJSFO¿LVWWFUJ TJHJCJPMVS WBSES ** ,OJOJWNFTJ-OJOJWNFTJOEFOCÐZÐLUÐS $JTJNZFSF¿BSQNBEBOËODFMJNJUI[BVMBõZPS *** )BWBEJSFO¿LVWWFUJIFSJLJDJTNFEFBZOCÐ- A) B) ZÐLMÐLUFFULJFEFS :ÐLTFLMJL :ÐLTFLMJL JGBEFMFSJOEFOIBOHJMFSJEPôSVEVS 0 ;BNBO 0 ;BNBO \" :BMO[* # :BMO[** $ *WF** C) D) % **WF*** & * **WF*** :ÐLTFLMJL :ÐLTFLMJL :FSEFOCFMMJCJSZÐLTFLMJLUFEÐõFZEPóSVMUVEBGSMBU- 0 ;BNBO 0 ;BNBO MBODJTNFBJUI[-[BNBOHSBGJóJõFLJMEFLJHJCJEJS E) :ÐLTFLMJL )[ j) 0 2t ;BNBO U 0 ;BNBO #VOBHÌSF * $JTJNMJNJUI[EBOCÐZÐLCJSI[MBBõBóEPóSV BUMNõUS ** $JTNF FULJZFO TÐSUÐONF LVWWFUJ U BOOEB FOCÐZÐLUÐS *** -U [BNBOBSBMóOEBDJTNJOJWNFTJB[BM- NBLUBES ZBSHMBSOEBOIBOHJMFSJEPôSVEVS \" :BMO[* # :BMO[** $ *WF** % **WF*** & * **WF*** 1. E 2. C E

www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 .0%·- 11. SINIF \"öBô:ÌOMÑ%ÑöFZ\"Uö ÷MJöLJMJ,B[BONMBS %ÐõFZEPóSVMUVEBJMLI[PMBOWFTBCJUJWNFMJIBSFLFUZBQBODJTJNMFSJOIBSFLFUJOJBOBMJ[FEFS \"öBô:ÌOMÑ%ÑöFZ\"Uö &óJN–g = –j1 – ( –j0) t 7$1,0%m/*m j = j +HU )FSIBOHJCJSBOEBLJI[ #JSDJTJNjI[JMFBõBóZËOEFEÐõFZBUMEóO- EBI[ ZFS¿FLJNJJWNFTJOJOFULJTJOEFEÐ[HÐOBS- ;BNBOFLTFOJJMFTOSMBOBOBMBO UBS +y 0 +x )[ j) t –h –jP a = –g 0 ;BNBO –j0 –h K –j1 = j0 – gt –j1 ôFLJMEF0OPLUBTOEBO–j0 I[JMFEÐõFZBUMBO –h = f –j0 + ( –j0 – gt) p . t DJTNJOUTÐSFTPOSB–ILBEBSBõBóEBLJ,OPLUB- 2 TOEBI[–j PMTVO –h = ( –j0 – j0 – gt) t 1 2 $JTNJOI[-[BNBO LPOVN-[BNBOWFJWNF- –h = –2j0 t – gt2 [BNBOHSBGJLMFSJBõBóEBLJHJCJPMVS 2 )[ j) ,POVN Y öWNF B h = j0 t + 1 gt2 UTÐSFEFDJTNJOEÐõUÐóÐ 0t 0t 2 ZÐLTFLMJL 0t t t t –j0 –h –h –g –j1 )BSFLFUJO EFOLMFNMFSJOJ I[ - [BNBO HSBGJóJO- ÖRNEK 33 EFOZBSBSMBOBSBL¿LBSBCJMJSJ[ %ÑöFZ BöBô ZÌOEF NT MJL I[MB BUMBO CJS DJTJN )[ - [BNBO HSBGJóJOEF FóJN JWNFZJ ^ g h [B- 2 TBOJZFEFZFSEFôJöUJSNFCÑZÑLMÑôÑLBÀNFUSFEJS NBO FLTFOJ JMF TOSMBOBO BMBO JTF ZFS EFóJõUJS- (g =NT2 IBWBEJSFODJÌOFNTJ[ NFZJ DJTNJOEÐõUÐóÐZÐLTFLMJL WFSFDFóJOEFO )[ j) t $JTNJOI[-[BNBOHSBGJôJOJÀJ[FMJN 0 )[ ;BNBO 0 2 Zaman –j0 –h –j1 –10 (–10–30).2 Alan = 2 –30 \"MBONFUSF 77 40

11. SINIF .0%·- /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayinlari.com.tr ÖRNEK 34 ÖRNEK 36 :FSEFO I ZÐLTFLMJóJOEFO EÐõFZ PMBSBL BõBó EPóSV %ÐõFZZVLBSZËOMÐTBCJUNTI[MBZÐLTFMNFLUFPMBO NTGB[MBBUMBOLHLÐUMFMJCJSDJTJNTTPOSBZFSF¿BS- CBMPOEBCJSDJTJNCBMPOBHËSF NTI[MBEÐõFZBõB- QZPS óZËOMÐBUMZPS$JTJNBUMELUBOTTPOSBZFSF¿BSQZPS #VOBHÌSF DJTJNZFSFLBÀNTI[JMFÀBSQNöUS (g =NT2 IBWBEJSFODJÌOFNTJ[ #VOBHÌSF DJTNJOBUMEôBOEBCBMPOVOZFSEFOZÑL- TFLMJôJLBÀNFUSFEJS json = j0 + g.t H=NT2 IBWBEJSFODJËOFNTJ[ json = vu+ json =NT $JTNJOCBMPOEBOBUMEôBOEBZFSFHÌSFI[BöBôZÌOMÑ NTPMVS$JTNJOI[-[BNBOHSBGJôJOJÀJ[FMJN )[ 0 2 –10 Zaman –30 (–10–30).2 Alan = 2 \"MBONFUSF .qk(7$k, ÖRNEK 35 N j0 h1 :FSEFONZÑLTFLUFLJCJSOPLUBEBONTI[MB Yer BöBôZBEPôSVBUMBOCJSDJTJN IBSFLFUJOJOTPOTB- j OJZFTJOEFLJZFSEFôJöUJSNFCÑZÑLMÑôÑLBÀNFUSFEJS (g =NT2 IBWBEJSFODJÌOFNTJ[ 4ÐSUÐONFMFSËOFNTJ[TFDJTNJOFOFSKJTJLPSVOVS $JTNJOI[-[BNBOHSBGJôJOJÀJ[FMJN &ilk =&TPO )[ mgh + 1 m.j02 = 1 m.j2 2 2 0 t=5 Zaman LÐUMFMFSJTBEFMFõUJSJQEFOLMFNJOIFSJLJUBSBG –10 –10–10t (–10–10–10t).t TBZTZMB¿BSQMSTB j2 = j2 + 2ghCBóOU- Alan = 175 = 0 2 TFMEFFEJMJS UTCVMVOVS )[ ÖRNEK 37 0 35 Zaman \"õBóZBEPóSVNTI[JMFBUMBOCJSDJTJN ZFSFNT I[JMF¿BSQZPS –10 \"MBOTPOTJÀJOEFLJ #VOBHÌSF DJTJNZFSEFOLBÀNZÑLTFLMJLUFOCSBLM- BMOBOZPMVWFSJS NöUS H=NT2 IBWBEJSFODJËOFNTJ[ –40 (–40–60).2 22 Alan = 175 = j = j + 2g.h –60 2 = –100 m son 0 ^ 40 h2 = ^ 10 h2 + 2.10.h 1600 = 100 + 2.10.h & 1500 = 20h h = 75 metre 45 100 78 40 75

\"õ\"ó*:²/-·%·õ&:\"5*õ TEST - 9 1. 4BCJUI[MBEÐõFZBõBóZËOEFIBSFLFUFEFOCBMPO- 4. ,DJTNJNZÐLTFLMJLUFOTFSCFTUCSBLMEóBOEB EBOCJSDJTJNCBMPOZFSEFONZÐLTFLUFZLFOCB- -DJTNJNZÐLTFLMJLUFOjI[JMFEÐõFZBõBó MPOBHËSFTFSCFTUCSBLMZPS BUMZPS $JTJNTTPOSBZFSFÀBSQUôOBHÌSF CBMPOVO L I[LBÀNTEJS (g =NT2 IBWBEJSFODJÌOFNTJ[ K j0 N N \" # $ % & yer ÷LJDJTJNEFBZOBOEBZFSFEÑöUÑôÑOFHÌSF j0 I[LBÀNTEJS (g =NT2 IBWBEJSFODJÌOFNTJ[EJS \" # $ % & 2. NTMJLTBCJUI[MBEÐõFZPMBSBLZÐLTFMNFLUFPMBO 5. ,ÐUMFMFSJN N NPMBO, - .DJTJNMFSJTÐSUÐO- CBMPOVO J¿JOEFLJ CJS LJõJ FMJOEFLJ CJS DJTNJ CBMPOB NFTJ[PSUBNEBõFLJMEFLJHJCJBõBóZËOMÐBUMNBLUB- HËSFNTI[MBEÐõFZPMBSBLBõBóZËOEFBUZPS ES $JTJNTTPOSBZFSFEÑöUÑôÑOFHÌSF DJTJNBUM- j EôBOEBCBMPOVOZFSEFOZÑLTFLMJôJLBÀNEJS 2j 3j (g =NT2 IBWBEJSFODJÌOFNTJ[ \" # $ % & #VOBHÌSF DJTJNMFSJOJWNFCÑZÑLMÑLMFSJ BK BL WFB.BSBTOEBLJJMJöLJOBTMPMVS A) a. > aL > aK # B. > aK > aL C) a = a = a. D) a > a > a. K L K L & Bk = aL > a. 4ÑSUÑONFTJ[ PSUBNEB ZFSF EPôSV EÑöFZ BUMBO 4BCJUI[JMFIBSFLFUFUNFLUFPMBOCJSBTBOTËSLBCJ- CJSDJTNJOZFSFÀBSQNBI[ OJOEF CV DJTJN LBCJOJO UBCBOOEBO DN ZÐLTFL- * ,ÐUMFTJ MJLUFPMBDBLõFLJMEFJQMFUBWBOBBTMZPS ** \"UMEóOPLUBOOZFSFV[BLMó *** :FSJO¿FLJNJWNFTJ *7 \"UMõI[ OJDFMJLMFSJOEFO IBOHJMFSJ UFL CBöOB EFôJöJSTF #JSTÑSFTPOSBJQLPQUVôVOBHÌSF DJTNJOBTBO- EFôJöJS TÌSÑOUBCBOOBÀBSQNBI[LBÀNTEJS \" *ZBEB** # **ZBEB*** (g =NT2 IBWBEJSFODJÌOFNTJ[EJS $ *ZBEB***ZBEB*7 % **ZBEB***ZBEB*7 # 5 2 & **ZBEB*7 \" $ % & 1. \" 2. B D 79 4. D 5. C C

11. SINIF .0%·- /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 www.aydinyayinlari.com.tr :VLBS:ÌOMÑ%ÑöFZ\"Uö ÷MJöLJMJ,B[BONMBS %ÐõFZEPóSVMUVEBJMLI[PMBOWFTBCJUJWNFMJIBSFLFUZBQBODJTJNMFSJOIBSFLFUJOJBOBMJ[FEFS :VLBS:ÌOMÑ%ÑöFZ\"Uö )BSFLFU EFOLMFNMFSJOJ ZJOF DJTNJO I[ [BNBO HSBGJLMFSJOEFOZBSBSMBOBSBL¿LBSBCJMJSJ[ 7$1,0%m/*m )[ j) –g = –j0 – (j0) )BWBEJSFODJOJOËOFNTJ[PMEVóVPSUBNEBCJSDJ- j0 2tç ›k› ﬂ TJN ZVLBS ZËOEF j I[ JMF EÐõFZ BUMEóOEB ZFS¿FLJNJJWNFTJJMFEÐ[HÐOPMBSBLZBWBõMBS ¿- t¿Lõ 2t¿Lõ LBCJMFDFóJNBLTJNVNZÐLTFLMJLUFOHFSJEËOFSFL 0 ZJOFZFS¿FLJNJJWNFTJJMFEÐ[HÐOPMBSBLI[MBOS –j0 a WFBUMEóOPLUBZB–j0 I[JMFHFSJEËOFS +y +y 2t¿LõUV¿Võ 2j0 EJS g j=0 j=0 &óJNUBOaJWNF H j0 hNBY +x hNBY +x )FSIBOHJCJSUBOOEBLJI[ j) 0 0 * = j –HUEJS –j0 $JTNJOÀLBCJMFDFôJNBLTJNVNZÑLTFLMJL INBY) –y )[ j) * JML I[ JMF BUMBO DJTNJO U TÐSFEF NBLTJNVN j0 ILBEBS¿LUóOLBCVMFEFSTFLDJTNJOI[-[B- hNBY NBO LPOVN-[BNBO JWNF-[BNBOHSBGJLMFSJ BõBóEBLJHJCJPMVS )[ j) ,POVN Y 0 ;BNBO +j0 tç +hNBY 2t +hN Imax = j0 . tç j0 j j =HU¿ 0t –hNBY ;BNBO 2 U¿Lõ = g –j0 0 t 2t ;BNBO Imax = 1 g.t 2 EJS 2 ç öWNF B j02 EJS 2g 0 t 2t ;BNBO ZBEBImax = –g #VIBSFLFUJDJTNJOBUMEóOPLUBZBHËSFÐ¿GBSLM $JTNJOEÐõFZEFLJI[[BNBOHSBGJóJOEFOZBSBS- LPOVNVJ¿JOJODFMFZFMJN MBOBSBLDJTNJO¿LBCJMFDFóJNBLTJNVNZÐLTFLMJ- óJCVMBCJMJSJ[ $JTJN BUMEô OPLUBZB HFSJ EÌONÑö JTF DJT- $JTNJO BUMEô OPLUBOO Ñ[FSJOEF IFSIBOHJ NJOUPQMBNZFSEFôJöUJSNFTJTGSPMVS CJSBOEBLJZÑLTFLMJôJ )BWBEJSFODJËOFNTJ[JTFDJTNJO¿LõTÐSFTJJOJõ +y j1 TÐSFTJOFFõJUPMBDBóOEBO )[ j) t¿LõUJOJõ j0 j0 g hNBY j1 $JTNJOIBWBEBLBMNBTÐSFTJ V¿VõTÐSFTJ j0 h h 0 tV¿VõU¿LõUJOJõ 2 j0 EJS +x 0 t¿Lõ g t 80

www.aydinyayinlari.com.tr /&850/6/:\"4\"-\"3*#÷3#0:655\"WF÷,÷#0:655\")\"3&,&5 .0%·- 11. SINIF j = j –HU ÖRNEK 39 h = j0 + (j0 – g.t) . t ,WF-DJTJNMFSJZFSEFOZVLBSZBEPóSVEÐõFZPMBSBLBU- 2 MZPS-DJTNJ,EFONEBIBZVLBS¿LZPS I= j t – 1 gt2PMVS ,OJOJMLI[NTPMEVôVOBHÌSF -OJOLJLBÀNT 2 EJS H=NT2 IBWBEJSFODJËOFNTJ[ h=j .t - 1 2 j jL $JTJNBUMEôOPLUBOOBMUOEBJTFZFSEFôJö- 02 g.t UJSNFTJmIES 12 jL.t = 80 h = 30.t - .10.t 2 K2 +y )[ j = j - g.t Alan = 80 t 0t hNBY j0 son 0 (0, 0) FôJNJWNFH –h j0 0 = 30 - 10t –j1 +x K –j0 tç 2tç t t =3s j –j1 = j0 – gt ;BNBO K L –h h = 30.3 - 1 .10.^ 3 h2 = 45 = 10 & j = 10t K2 tL h =j .t - 1 2 = h + 35 j .t .g.t L = 80 2 LL 2 K j .t = 160 1 2 L j I[ JMF BUMBO DJTNJO CV LPOVNEBZLFO I[ j .t - .10.t = 80 10.t.t = 160 L2 2 = 16 &t=4s t –j1 JTFI[[BNBOHSBGJóJõFLJMEFLJHJCJPMVS j .t L = 80 –jj –HUEJS 2 –Ijt – 1 gt2PMVS j .4 2 L = 80 2 j = 40 m/s L ÖRNEK 40 ÖRNEK 38 :FSEFO NFUSF ZÑLTFLMJLUFLJ CJS OPLUBEBO ZVLBS NT MJL TBCJU I[ JMF EÐõFZ PMBSBL ZÐLTFMNFLUF PMBO EPôSVNTI[MBEÑöFZPMBSBLBUMBOCJSDJTJNLBÀ CJSCBMPOEBOTFSCFTUCSBLMBOCJSDJTJN CSBLMELUBOT TBOJZFTPOSBZFSFEÑöFS TPOSBZFSF¿BSQZPS H=NT2 IBWBEJSFODJËOFNTJ[ #VOB HÌSF DJTJN CSBLMEô BOEB CBMPOVO ZFSEFO 12 ZÑLTFLMJôJLBÀNEJS - h = j .t - .g.t (g =NT2 IBWBEJSFODJÌOFNTJ[ 02 $JTJN CBMPOEBO TFSCFTU CSBLMODB ZVLBS ZÌOMÑ NT JML 10 m/s - 40 = 10.t - 1 2 I[JMFIBSFLFUFEFS$JTNJOI[-[BNBOHSBGJôJOJÀJ[FMJN 40 m 2 .10.t 2 10 m j=0 )[ /s - 40 = 10.t - 5t h 10 2 10 m /s 0 1 2 5 Zaman + 5t - 10.t + 40 = 0 Alan ZFS a 2 - 2t + 8 k = 0 $JTJN /s CBMPOVO 10 m –10 ZFSEFO t ZÑLTFLMJôJOJ WFSJS ^ t - 4 h^ t - 2 h = 0 t=4s –50 Alan = (10+50).3 2 Alan = 90 m 4 81 40 40. 90

TEST - 10 1. jI[ZMBEÐõFZZVLBSZBBUMBOCJSDJTJNõFLJMEFLJ m N2 LÐUMFMJ JLJ DJTJN BZO ZFSE FO ZVLBS ZËOEF ,OPLUBTOEBO/OPLUBTOBTBOJZFEFHFMNFLUFEJS EÐõFZ PMBSBL TSBTZMB j ve j2 I[MBSZMB BUMZPS m LÐUMFMJ DJTJN I ZÐLTFLMJóJOF ¿LQ BUMELUBO LM tTÐSF TPOSB N2 LÐUMFMJ DJT JN JTF I2 ZÐLTFLMJóJOF ¿LQ BUMELUBOU2TÐSFTPOSBZFSF¿BSQZPS K N hNBY j0 $JTJN ZFSEFO ,ZF -EFO .ZF TBOJZFEF h1 h2 HFMEJôJOFHÌSFDJTNJOZBQUôIBSFLFUJOI[-[B j1 j2 NBOHSBGJôJBöBôEBLJMFSEFOIBOHJTJPMBCJMJS )BWBEJSFODJËOFNTJ[ N1 N2 A) j NT B) j NT t1 = t2PMEVôVOBHÌSF 20 30 * jj2 ** II2 0 24 t(s) 0 36 t(s) *** mN2 t(s) C) j NT D) j NT FöJUMJLMFSJOEFOIBOHJMFSJkesinlikleEPôSVEVS 10 20 )BWBEJSFODJËOFNTJ[ \" :BMO[* # *WF** $ *WF*** 4 t(s) 4 % **WF*** & * **WF*** 02 02 –10 –20 E) j NT 30 6 t(s) 03 –30 4. ôFLJMEFLJ,OPLUBTOEBOjI[JMFEÐõFZEPóSVMUV- 2. 0OPLUBTOEBOEÐõFZPMBSBLZVLBSZËOEFBUMBODJ- EBZVLBSZËOEFBUMBOCJSDJTJNBUMELUBOTBOJZF TPOSBZFSF¿BSQ ZPS TJN| OK | ve | KL |ZÐLTFLMJLMFSJOJFõJUWFTBOJZFMJL TÐSFMFSEFBMZPSWF-OPLUBT OEBOHFSJEËOÐZPS L K j0 j0 Yer O K #VOBHÌSF lOKl PSBOLBÀUS lLKl #VOB HÌSF DJTNJO BUMELUBO T TPOSB ZFSEFO ZÑLTFLMJôJLBÀNE JS )BWBEJSFODJËOFNTJ[ (g =NT2 )BWBEJSFODJÌOFNTJ[ \" # $ % & \" # $ % & 1. E 2. C 82 B 4. E

#÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 '(1(<(5(.qi5(1(/m0 0ALZEMELISTESI *(5(./m0$/=(0(/(5 - BEFUGJ[JLLJUBC - .BTB TSB - ôFSJUNFUSF - ,BMFN ,BóU - ,SPOPNFUSF '(1(<m1$0$&, 'm..$7 #V EFOFZEF BNBÀMBOBO #VEFOFZTSBTOEBõVIVTVTMBSBEJLLBUFEJMNFMJEJS #JSDJTNFFULJFEFOOFULVW- r,JUBCOLBQBóOONÐNLÐOPMEVóVODBQÐSÐ[TÐ[PMNBM WFUJO EFóFSJOF HËSF DJTNJO r.BTBOOZÐ[FZJNÐNLÐOPMEVóVODBQÐSÐ[TÐ[PMNBM JWNFTJOJO CBóM PMEVóV EF- r.BTBOOFóJNJFOB[LJUBCOIBSFLFUFEFCJMNFTJFóJNJOEFPMNBM óJõLFOMFSJOCFMJSMFONFTJ r.BTBOOCPZVNÐNLÐOPMEVóVODBIBUBT[ËM¿ÐMNFMJ r.BTBOOIFSFóJNB¿TOEB LJUBCONBTBOOÐ[FSJOEFBMEóZPMMBSFõJUPMNBM '(1(<(+$=,5/,. r #JSDJTNJOJWNFTJDJTNFFULJFEFOLVWWFUFHÌSFOBTMEFôJöJS $FWBQ #JSDJTNJOJWNFTJ DJTNFFULJFEFOOFULVWWFUMFEPóSVPSBOUMPMBSBLEFóJõJS IlLEYIlVEPROSEDpR r .FUSFJMFNBTBOOCPZVOVËM¿ÐQLBZEFEJOJ[ .FUSFDJOTJOEFOZB[O[ r .BTBOOFóJNJOJ NBTBOOÐ[FSJOEFLJUBQIBSFLFUFEFDFLõFLJMEFBZBSMBZO[ r ,JUBCNBTBOOÐ[FSJOEFOTFSCFTUCSBLUóO[BOEBLSPOPNFUSFZJ¿BMõUSO[,JUBQNBTBZUFSLFUUJóJBOEBLSP- OPNFUSFZJEVSEVSVOV[7FSJMFSJLBZEFEJOJ[ r .BTBOOFóJNB¿TOBSUSQEFOFZJUFLSBSMBZO[WFWFSJMFSJLBZEFEJOJ[ r X = 1 a.t2 CBóOUTOLVMMBOBSBL 9=NFUSFJMFËM¿UÐóÐOÐ[EFóFS U=LSPOPNFUSFZMFËM¿UÐóÐOÐ[EFóFS DJTNJO 2 JWNFTJOJIFSFóJNB¿TJ¿JOBZSBZSCVMVOV[ '(i(5/(1'm50(9(6218s r .BTBOOFôJNBÀTEFôJöUJôJOEFLJUBCOJWNFTJOBTMEFôJöJS $FWBQ .BTBOOFôJNBÀTBSUULÀBDJTNFFULJFEFONBTBÑ[FSJOEFQBSBMFMPMBOLVWWFUBSUBS '=NHTJOa) ,VWWFUBSUBSJTFDJTNJOJWNFTJEFBSUBS,VWWFUB[BMSJTFDJTNJOJWNFTJEFB[BMS 'net =NB r (ÑOMÑLIBZBUMBJMJöLJMFOEJSNF $FWBQ:PLVöBöBôJOFSLFOEÑ[PZMBHÌSFEBIBLPMBZZÑSÑSÑ[WFEBIBÀBCVLI[MBOS[:PLVöVOEJLMJôJ BSUULÀBEBIBEBLPMBZWFEBIBEBÀPLI[MBOS[:PMVNV[VEBIBLTBTÑSFEFHJEFSJ[¦ÑOLÑIB- SFLFUJWNFNJ[BSUBS

KARMA TEST - 1 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. * öWNFMFSJBZOPMBOJLJDJTNJOLFTJOMJLMFI[MBSEB ,OPLUBTOEBOJMLI[T[IBSFLFUFCBõMBZBOCJSDJ BZOES TJNTBCJUJWNFJMFI[MBOBSBLYZPMVOVU YZPMVOV t2TÐSFEFBMZPS * öWNFTJ B[BMBO CJS DJTNJO LFTJOMJLMF I[ B[BM- NBLUBES x 3x KL ** #JSDJTNJOI[TGSJTFLFTJOMJLMFJWNFTJEFTGS- M ES #VOBHÌSF t2 PSBOLBÀUS *** 4ÐSBUJTBCJUPMBODJTNJOJWNFTJLFTJOMJLMFTGSES t1 JGBEFMFSJOEFOLBÀUBOFTJEPôSV LBÀUBOFTJZBO- A) 1 # $ 3 % & 5 MöUS 2 %PóSV :BOMõ 22 A) 4 # 3 4. t =BOOEBLJI[TGSPMBO,BSBDNT2MJLTB- C) 2 2 D) 3 CJU JWNF JMF I[MBOSLFO N ËOÐOEFLJ - BSBD & 4 jL =NTMJLTBCJUI[MBIBSFLFUFEJZPS jLNT KL 100 #VOB HÌSF , BSBD LBÀ T TPOSB - BSBDOB ZFUJ öJS \" # $ % & 2. )[–[BNBO HSBGJóJ õFLJMEFLJ HJCJ PMBO CJS IBSFLFUMJ- 5. , -WF.BSB¿MBSOBBJUI[-[BNBOWFLPOVN-[B- OJO–T[BNBOBSBTOEBLJJWNFTJOJOCÐZÐLMÐóÐB NBOHSBGJLMFSJõFLJMEFWFSJMNJõUJS 2–T[BNBOBSBTOEBLJJWNFTJOJOCÐZÐLMÐóÐJTFB2 EJS j NT jx x 10 0t 6 0 t0 t KL t(s) M 02 4 BunaHÌSF a1 PSBOLaçUS #VOBHÌSF CVBSBÀMBSEBOIBOHJMFSJEÑ[HÑOEPô- a2 SVTBMIBSFLFUZBQNBLUBES \" :BMO[, # :BMO[- $ :BMO[. \" # 5 C) 1 D) 3 & 4 % ,WF- & , -WF. 2 2 23 1. E 2. B 84 B 4. E 5. E

#÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 KARMA TEST - 2 1. ,FOEJLFOEJOFLJMPBMEóOEÐõÐOFO\"INFUCJSTQPS )[–[BNBOHSBGJóJõFLJMEFLJHJCJPMBOCJSDJTJNEPó- TBMPOVOB HJEFS 4QPS TBMPOVOEB LPõV CBOEOEB SVTBM,-.ZPMVOVUTÐSFEFBMZPS LPõNBZBCBõMBS\"INFUËODFTBOJZFEFCJSBEN BUBSBL LPõVZB CBõMZPS EL TPOSB CJS TBOJZFEF H›z CJS BEN BUBSBL LPõVTVOB EFWBN FEJZPS \"INFU UPQMBNTBBULPõVZPS 2V V 0 t 2t 3t Zaman | KL | = 2.| -.| PMEVôVOB HÌSF DJTJN ZPMVO TPO LTNPMBO| -.|CÌMÑNÑOÑLBÀUTÑSFEFBMNöUS \" # $ % & ,PöVCBOEOOHÌTUFSHFTJ\"INFUJOLNLPö- 4. %ÐõFZ LFTJUJ õFLJMEFLJ HJCJ PMBO TÐSUÐONFTJ[ ,-. UVôVOVHÌTUFSEJôJOFHÌSF ZPMVOVO , OPLUBTOEBO JML I[T[ IBSFLFUF CBõMB- * \"INFUJOZFSEFóJõUJSNFTJLNEJS ZBOCJSDJTJN ZPMVO,-BSBMóOU -.BSBMóOEB ** ,PõVCBOEÐ[FSJOEF\"INFUJOPSUBMBNBTÐSBUJ t2TÐSFEFBMZPS IFTBQMBOBCJMJS *** \"INFU LPõVZB CBõMBELUBO EL TPOSB I[O BSUSNõUS JGBEFMFSJOEFOIBOHJMFSJEPôSVEVS \" :BMO[* # :BMO[** $ :BMO[*** K e % **WF*** & * **WF*** yatay L M | KL | = 2.| -.|PMEVôVOBHÌSF t1 PSBOLBÀUS t2 \" # $ % & 2. %VSHVOIBMEFOIBSFLFUFHF¿FOCJSDJTNJOLPOVN– 5. :BUBZEÐ[MFNEFEVSBO,WF-DJTJNMFSJTSBTZMBB [BNBOHSBGJóJõFLJMEFLJHJCJEJS WFBCÐZÐLMÐóÐOEFTBCJUJWNFMFSJMFBZOBOEBIB- ,POVN N SFLFUF CBõMBZBSBL CJSCJSMFSJOF EPóSV I[MBOZPSMBS ,BSõMBõODBZBLBEBS,DJTNJY -DJTNJY2 kadar X2 = 72 ZPMBMZPS X1 = 18 t 2t ;BNBO T a 2a 0 KL #VDJTNJO Y1WFY2LPOVNMBSBSBTOEBLJPSUBMB- #VOBHÌSF x1 PSBOLBÀUS NBI[NTPMEVôVOBHÌSF Y1LPOVNVOEBLJ x2 BOMLI[LBÀNTEJS \" # $ % & \" # $ % 1 & 1 24 1. B 2. D 85 B 4. D 5. D

KARMA TEST - 3 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. öMLI[NTPMBOCJSDJTNJOEPóSVTBMZPMCPZVODB 4. , DJTNJOJO I[-[BNBO WF U = BOOEB EVSBO - I[–[BNBOHSBGJóJõFLJMEFLJHJCJEJS DJTNJOJOJWNF-[BNBOHSBGJóJõFLJMEFLJHJCJEJS j NT2) )l[ kWNF 40 jK aL 20 0 t 2t 3t ;BNBO 0 t 2t 3t ;BNBO 0 10 t(s) –j –a #VOB HÌSF m T [BNBO BSBMôOEB CV DJT- #VOBHÌSF NJOPSUBMBNBI[LBÀNTEJS * )FSJLJDJTJNEF-U[BNBOBSBMóOEBI[MBO- \" # $ % & ZPS ** )FSJLJDJTJNEFUBOOEBZËOEFóJõUJSJZPS *** )FS JLJ DJTJN EF U-U [BNBO BSBMóOEB UFST ZËOEFI[MBOZPS ZBSHMBSOEBOIBOHJMFSJEPôSVEVS \" :BMO[* # :BMO[** $ :BMO[*** 2. t =BOOEBLJI[NTPMBOCJSDJTNJOJWNF-[B % *WF** & *WF*** NBOHSBGJóJõFLJMEFLJHJCJEJS kWNF NT2) 5. * WF ** BSB¿MBS ZBUBZ EÐ[MFNEF EVSNBLUBES \"ZO 2 BOEB*BSB¿TBCJUB **BSB¿TBCJUBJWNFTJJMFI[ MBOZPS*BSB¿ **ZF0OPLUBTOEBZFUJõJODFZFLB 0 I II III ;BNBO T dar x **JTFY2ZPMVOVBMZPS 2 46 I II –2 x2 #VOBHÌSF x1 O * $JTNJO*[BNBOBSBMóOEBI[BSUNõUS #VOBHÌSF x1 PSBOLBÀUS ** $JTNJO**[BNBOBSBMóTPOVOEBI[TGSES x2 *** $JTJN***[BNBOBSBMóOEBI[TGSES A) 3 # $ 5 % & 2 2 ZBSHMBSOEBOIBOHJMFSJEPôSVEVS \" :BMO[* # :BMO[*** $ *WF** ,BSBDjK =NT -BSBDjL =NTI[MBS- % *WF*** & **WF*** la õFLJMEFLJ ZËOMFSEF IBSFLFU FEFSLFO BSBMBSOEB NLBMBCJSCJSMFSJOJHËSÐZPSMBSöLJTJEFBZOBO- EB GSFOF CBTZPS WF EÐ[H ÐO ZBWBõMZPSMBS ,OJO GSFOMFNF JWNFTJ NT2 -OJO GSFOMFNF JWNFTJ JTF NT2EJS NTI[MBEÐõFZZÐLTFMFOCJSCBMPOEBO CBMPOB VKNT VLNT K L HËSF TFSCFTU CSBLMBO CJS DJTJN NT I[MB ZFSF ¿BSQZPS N #VOB HÌSF JLJ BSBÀ BSBMBSOEB LBÀ NFUSF LBMB $JT JNTFSCFTUCSBLMEôBOEBCBMPOVOZFSEFO EVS VSMBS ZÑLT FLMJôJLBÀNFUSFEJS (g =NT2 IBWBEJSFODJÌOFNTJ[ \" # $ % & \" # $ % & 1. B 2. \" C 4. \" 5. B \"

#÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 KARMA TEST - 4 1. \"ZOEÐ[MFNEFIBSFLFUFEFO, -WF.IBSFLFUMJMF- ÷LJDJTJNEFOCJSJNFUSFZÑLTFLMJLUFOTFSCFTU SJOJOI[-[BNBOHSBGJLMFSJõFLJMEFLJHJCJEJS CSBLMSLFO EJôFSJEF BZO OPLUBEBO T TPOSB BöBôZÌOEFEÑöFZPMBSBLIBOHJI[MBBUMNBMLJ )[ DJTJNMFSBZOBOEBZFSFÀBSQTOMBS )BWBEJSFODJÌOFNTJ[EJS M L \" # $ % & K Zaman a aa 0 #VOB HÌSF IBOHJ ÌôSFODJOJO EFôFSMFOEJSNFTJ 4. ôFLJMEFLJËM¿FLMJ¿J[JNEF1OPLUBTOEBLJDJTJNTFS EPôSVEVS CFTU EÐõNFZF CSBLMSLFO BZO BOEB 0 OPLUBTO öWNFMFSJBZOES EBLJDJTJNZVLBSEPóSVNTI[MBBUMZ PS Aysun P P' :FSEFóJõUJSNFMFSJBZOES öTNFU L L' )BSFLFUZËOMFSJBZOES M M' Arzu N N' A) :BMO[\"ZTVO NT # :BMO[\"S[V yer C) \"ZTVOWF\"S[V D) öTNFUWF\"S[V O & \"ZTVO öTNFUWF\"S[V TTPOSB1EFOTFSCFTUCS BLMBODJT JN-OPLUB TOEBJTF0EBOBUMBODJTJNIBOHJOPLUBZBEB OPLUBMBSBSBTOE BES /PLUBMBSFõJUBSBMLMES IBWBEJSFODJÌOFNTJ[EJS \" /h # .h $ .h--h% -h & 1h 5. jI[JMFEÐõFZZVLBSEPóSVBUMBOCJSDJTNJOI[- [BNBOHSBGJóJõFLJME FLJHJCJEJS j 2. ,OPLUBTOEBOJMLI[T[IBSFLFUFHF¿FOCJSIBSF j1 t2 t t1 LFUMJOJO I[-[BNBO HSBGJóJ õFLJMEF WFSJMNJõUJS j2 | KL | = |-.|PMVQ | KL |ZPMVOVBMNBTÐSFTJU |-.| #VOBHÌSF U1 U2WFH ZFSÀFL JNJJWNFTJ CJMJOJ ZPMVOVBMNBTÐSFTJU2EJS yorsa; j j0 = 0 2j * jDJTNJOJMLI[ j ** j2 DJTNJOZFSF¿BSQNBI[ *** IDJTNJOZFSEFONBLTJNVNZÐLTFLMJóJ K L M 0 t 2t 3t t #VOBHÌSF t1 PSBOLBÀUS OJDFMJLMFSJOEFOIBOHJMFSJCVMVOBCJMJS t2 \" :BMO[* # *WF** $ *WF*** # 2 C) 3 & 1 \" 3 2 % 2 % **WF*** & * **WF*** 1. C 2. D 87 E 4. D 5. E

KARMA TEST - 5 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. NTWFNTMJLTBCJUI[MBSMBHJUNFLUFPMBO, 4. %PóSVTBMCJSZPMEBJWNF–[BNBOHSBGJóJõFLJMEFLJHJ- WF-BSB¿MBSBSBTOEBLJV[BLMLU=BOOEBN CJPMBO,BSBDOOU=BOOEBLJI[TGSES EJS NT NT kWNF K aL N ;BNBO 0 #VOBHÌSF ,BSBD -BSBDOBLBÀTBOJZFTPOSB t 2t 3t ZFUJöJS –a \" # $ % & \"SBDOI[UBOOEBjPMEVôVOBHÌSF UBOOEBLJ I[OFEJS \" # j C) 2j D) –j & j 2 2. t =BOOEBLJI[TGSPMBOEÐ[HÐOI[MBOBOEPó 5. 4ÐSUÐONFTJ[ PSUBNEB EÐõFZ PMBSBL ZVLBS EPóSV SVTBMIBSFLFUZBQBOCJSDJTNJOLPOVN-[BNBOHSB GJóJõFLJME FLJHJCJEJS BUMBO CJS DJTNJO LPOVN-[BNBO EFóJõJNJOJ HËTUF- SFOHSBGJLõFL JMEFLJHJCJEJS ,POVN N 64 Konum (m) 16 20 0 4 8 ;BNBO T #VOBHÌSF BSBDOJWNFTJLBÀNT2EJS 0 Zaman (t) 24 \" # $ % & 4ÐSUÐONFTJ[PSUBNEB,OPLUBTOEBOjI[ ZMBEÐ- #VOBHÌSFDJTNJOBUMöI[LBÀNTEJS \" # $ % & õFZ EPóSVMUVEB ZVLBS ZËOEF GSMBUMBO CJS DJTJN ) LBEBSZÐLTFMEJLUFOTPOSB ZFSEFOZÐLTFLMJóJIPMBO -OPLUBTOEBOHF¿JZPS L 4ÐSUÐONFTJ[PSUBNEBZFSEFOILBEBSZÐLTFLMJLUF- H LJ,OPLUBTOEBOEÐõFZZVLBSEPóSVNTMJLI[- h MBBUMBOCJSDJTJNNTMJLI[MBZFSF¿BSQZPS j0 j=0 yer K 10 m/s $JTNJO ,EFO -ZF HFMJö TÑSFTJ - EFLJ I[ WF KL ZFSÀFL JNJJWNFTJCJMJOEJôJOFHÌSF h1 * IZÐLTFLMJóJ yer 40 m/s ** )ZÐLTFLMJóJ #VOBHÌSFI1ZÑLTFLMJôJLBÀNEJS *** jI[ \" # $ % & CÑZÑLMÑLMFSJOEFOIBOHJMFSJCVMVOVS \" :BMO[*** # *WF** $ *WF*** & * **WF*** % **WF*** 1. E 2. B E 88 4. B 5. B D

#÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 KARMA TEST - 6 1. , OPLUBTOEBLJ DJTJN j0 I[ JMF EÐõFZ BõBóZB :FSEFONZÐLTFLMJLUFCVMVOBO,DJTNJj0I[JMF - OPLUBTOE BLJ DJTJN j0 I[ JMF EÐõFZ ZVLBSZB EÐõFZBõBóZB -DJTNJBZOI[JMFEÐõFZZVLBSZB EPóSVBUMZPS,EFOBUMBODJTJNBUME LUBOTTPO- SB -EFOBUMBOJTFTTPOSBZFSF¿BSQZPS EPóSVBUMZPS j0 K j0 KL j0 L h j0 h = 40 m h yer #VOBHÌSFIZÑLTFLMJôJLBÀNEJS Yer (g =NT2 IBWBEJSFODJÌOFNTJ[ jK jL \" # $ % & ,DJTNJBUMELUBOTBOJZFTPOSBZFSFÀBSQUô- na HÌSF -DJTNJBUMELUBOLBÀTBOJZFTPOSBZF- SFÀBSQBS g =NT2 IBWBEJSFODJÌOFNTJ[ \" # $ % & 2. :FSEFO I LBEBS ZÐLTFLMJLUF NTMJL TBCJU I[MB 4. )[–[BNBOHSBGJóJôFLJM*EFLJHJCJPMBO,WF-IB- ZÐLTFMNFLUFPMBOCJSCBMPOEBOCJSUBõCBMPOBHËSF reketlileri t =BOOEBõFLJM**EFLJFõJUCËMNFMFONJõ NTI[MBBõBóZBEPóSVEÐõFZBUMZPS | |/5 ZPMVOVO0OPLUBTOEBES H›z K Za jbalon = 20m/s jUBõ= 20m/s j 2t 3t 4t h L L 0 ôFLJMm* Kt –j –x P OM +x N ôFLJMm** T TBO JZF TPOSB CBMPO WF UBö BSBTOE BLJ V[BLML ,IBSFLFUMJTJUBOOEB5EFPMEVôVOBHÌSF BZ- LBÀNFUSFPMVS OBOEB-IBSFLFUMJTJOFSFEFPMVS I HNT2 IBWBEJSFODJÌOFNTJ[ \" / # 1 $ 0 % . & 5 \" # $ % & 1. C 2. C 89 D 4. \"

KARMA TEST - 7 #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. )BWBEJSFODJOJOËOFNTJ[PMEVóVCJSPSUBNEB,DJT- 3. %PóSVTBMCJSZPMEBCJSBSB¿NTMJLI[MBHJEFS- NJBõBóZËOEF-DJTNJEFZVLBSZËOEFEÐõFZPMB- LFOTÐSÐDÐNJMFSEFWFBZOZËOEFNTMJLTB- SBLõFLJMEFLJHJCJBUMZPS CJUI[MBHJEFOCBõLBCJSBSBDHËSEÐóÐOEFTBCJUJW- NFMJPMBSBLZBWBõMZPS K ¦BSQöNBOOPMNBNBTJÀJOTÑSÑDÑOÑOBSBCBT OOZBWBöMBNBJWNFTJFOB[LBÀNT2æPMNBMES jK \" # $ % & jL 4. %VSVõ IBMJOEFO IBSFLFUF HF¿FO CJS V¿BL L NFUSFMJLQJTUUFTBCJUJWNFMJIBSFLFUZBQZPS Yer ,BMLöTBOJZFTÑSEÑôÑOFHÌSF VÀBôOIBWB $JTJNMFSBZOBOEBZFSFÀBSQUôOBHÌSF MBONBBOOEBLJI[LBÀNTEJS * $JTJNMFSJOI[MBSFõJUCÐZÐLMÐLUFEJS \" # $ % & ** , DJTNJOJO ZFSF ¿BSQNB I[ - OJOLJOEFO CÐ- ZÐLUÐS *** $JTJNMFSJOJWNFMFSJFõJUUJS ZBSHMBSOEBOIBOHJMFSJEPôSVEVS \" :BMO[** # *WF** $ *WF*** D) II ve III E) I, II ve III 2. )BWBEJSFODJOJOËOFNTJ[PMEVóVCJSPSUBNEB,WF- 5. UBOOEBõFLJMEFLJLPOVNEBPMBOBSB¿MBSEBO, DJTNJBZOBOEBõFLJMEFLJHJCJEÐõFZBUMZPS,OO a,NT -JTFB-NTMJLJWNFMFSMFEÐ[- JMLI[NT -OJOJMLI[NTEJS HÐOZBWBõMBNBZBCBõMZPSMBS K j = 18 m/s jK = 40 m/s jL = 60 m/s K L 15 m j = 12 m/s 1200 m L #VOBHÌSF CVJLJBSBÀEVSEVôVOEBBSBMBSOEBLJ Yer V[BLMLLBÀNEJS \" # $ % & ,WF-BSBTNPMEVôVOBHÌSF ,WF-LBÀTB- OJZFTPOSBZFSEFOBZOZÑLTFLMJLUFCVMVOVS A) 1 # 1 $ % 3 E) 4 2 2 D B 90 D & C

#÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 KARMA TEST - 8 1. %PôSVTBMCJSZPMEBEVSVöIBMJOEFJLFOTBCJUJW- 4. #BõMBOH¿UBZBOZBOBPMBO,WF-DJTJNMFSJOJOEPó- NFJMFI[MBOBOCJSDJTJNTBOJZFEFNFUSF SVTBMZËSÐOHFEFI[–[BNBOHSBGJLMFSJõFLJMEFLJHJCJ- ZPMBMEôOBHÌSF CVDJTNJOTBOJZFEFLJI[ EJS,DJTNJU[BNBOBSBMóOEBYZPMVOVBMZPS OFEJS \" # $ % & H›z H›z 2j K j jL 3t Zaman 0 0 t 2t 3t Zaman t 2t –j #VOBHÌSF UBOOEBJLJDJTJNBSBTOEBLJV[BL- MLLBÀYUJS 2. U=BOOEBLJI[NTPMBODJTNJOEPóSVTBMZË- \" # $ % & SÐOHFEFJWNF-[BNBOHSBGJóJõFLJMEFLJHJCJEJS a (m/s2) 4 5. %PóSVTBMCJSZPMEBI[–[BNBOHSBGJLMFSJõFLJMEFLJHJ- 0 10 20 30 t(s) CJPMBO,WF-DJTJNMFSJOJOUTÐSFTJOEFBMELMBSZPM- –4 MBSTSBTZMB9,WF9-EJS H›z 3j K #VOBHÌSF CVDJTJNJMLTBOJZFEFLBÀNFUSF 2j ZFSEFôJöUJSJS j \" # $ % & L Zaman 0t #VOBHÌSF XK PSBOLBÀUS XL \" # $ % & 3. %PóSVTBM CJS ZPMEB CBõMBOH¿UB ZBO ZBOB CVMVOBO 6. %PóSVTBMCJSZPMEBU=BOOEBZBOZBOBCVMVOBO ,WF-DJTJNMFSJOJOI[[BNBOHSBGJLMFSJõFLJMEFLJHJ- ,WF-BSB¿MBSOOI[-[BNBOHSBGJLMFSJõFLJMEFLJHJ- CJEJS CJEJS H›z K H›z 3j K 2j K 2j L L j j 4t K 0 t 2t 3t Zaman 0t 2t 3t –j L Zaman #VOBHÌSF CVDJTJNMFSIBOHJBOMBSEBUFLSBSZBO ,JMF-BSBÀMBSBSBTOEBLJV[BLMLUBOOEBN ZBOBPMVSMBS PMEVôVOBHÌSF UBOOEBLBÀNEJS \" UWFU # UWFU $ UWFU % UWFU & UWFU \" # $ % & D D & 91 C D &

YAZILI SORULARI #÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 1. t =BOOEBCBõMBOH¿OPLUBTOEBPMBOIBSFLFUMJOJO %PóSVTBMCJSZPMEBUBOOEBBZOZFSEFOIBSF- I[–[BN BOHSBGJóJõFLJMEFWFSJMNJõUJS LFUF HF¿FO WF I[ – [BNBO HSBGJLMFSJ õFLJMEFLJ HJCJ PMBOJLJIBSFLFUMJOJOI[MBSFõJUPMEVóVBOEBBSBMB- j (m/s) SOEBLJNFTBGFNEJS 6 j (m/s) 30 L 0 24 6 t (s) 8 10 20 –4 B ÷WNFm[BNBOHSBGJôJOJÀJ[JOJ[ K t (s) C ,POVNm[BNBOHSBGJôJOJÀJ[JOJ[ 0t a) ÷WNF b) ,POVN #VOBHÌSF BSBÀMBSOI[MBSOOFöJUPMEVôVBO U 3 8 LBÀODTBOJZFEJS 22 j (m/s) 30 ;BNBO ;BNBO L 5BSBMCÌMHFOJOBMBO NPMNBM 0 2 4 6 8 10 0 2 4 6 8 10 U –2 –4 –10 20 2 UTPMVS –12 K 0t t (s) –16 2. %PóSVTBMCJSZPMEB j =NTMJLTBCJUI[MBHJEFO 4. #JS DJTJN NFUSF ZÐLTFLMJLUFO TFSCFTU CSBLM- CJS:BSBDõFLJMEFLJ,OPLUBTOBHFMEJóJBOEB ZPS \"ZO BOEB ZFSEFO NTMJL I[ JMF CJS CBõLB NHFSJTJOEFEVSBOCBõLBCJS9BSBD TBCJUJWNFZMF DJTJNZVLBSEPóSVEÐõFZEPóSVMUVEBBUMZPS BZOZËOEFIBSFLFUFCBõMZPS j0 = 0 X j0 = 0 j = 40 m/s Y K 400 m L 200 m 100 m 40 m/s #VOBHÌSF JLJBSBDO-OPLUBTOBBZOBOEBWB- $JTJNMFSLBÀNFUSFZÑLTFLMJLUFLBSöMBöSMBS SBCJMNFTJJÀJO 9BSBDOOJWNFTJLBÀNT2 ol- (g =NT2 IBWBEJSFODJÌOFNTJ[ NBMES \"SBÀMBSUTÑSFEF-OPLUBTOEBPMTVOUTÑSFEF9BSBD: BSBDOEBONGB[MBZPMBMNöPMVS 9JOBMEôZPM :OJOBMEôZPM $JTJNMFSJOJWNFMFSJFöJUPMEVôVJÀJOLBSöMBöNBTÑSFMFSJ X= 1 2 9= 40.t 400 = 40.t jt = 10 s 2 at I= (j1 + j2 UCBôOUTZMBCVMVOBCJMJS 200 = (0 + 40) . t :VLBSBUMBODJTJNJÀJO 1 2 = + a 40t 100 t = 5 s olur. 12 2X t h = j .t - g.t 1 2 = + 02 .a 2X (10) 40.10 100 12 h = 40.5 - .10 (5) a X = 10 2 2 m/s h = 75 m 1. 4BZGBhEB 2. 10 92 vus 4. N

#÷3#0:655\"4\"#÷5÷7.&-÷)\"3&,&5 YAZILI SORULARI 5. :VLBSZËOEFB=NT2MJLJWNFJMFI[MBOBOIBSF- 7. ,OPLUBTOEBOJMLI[T[IBSFLFUFCBõMBZBOCJSBSB- LFUZBQBOCJSBTBOTËSÐOUBCBOOEBO NFUSFZÐL- CBTBCJUJWNFJMFI[MBOBSBLYZPMVOVU YZPMVOV TFLUFPMBDBLõFLJMEFCJSDJTJNBTBOTËSÐOUBWBOOB da t2åTÐSFEFBMZPS BTMZPS x 8x #JSTÑSFTPOSBDJTNJOCBôMPMEVôVJQLPQUVôV- KL OBHÌSF DJTJNLBÀTBOJZFTPOSBBTBOTÌSÑOUB- M CBOOBEÑöFS #VOBHÌSF t1 PSBOLBÀUS (g =NT2 IBWBEJSFODJÌOFNTJ[ t2 5NHNB a1NT2 \"SBDO)[-[BNBOHSBGJôJöFLJMEFLJHJCJPMVS(SBGJôJO I[MBOBO BMUOEBLJBMBOZFSEFôJöUJSNFZJWFSJS BTBOTÌS j t1= t 3j t = 2t olur. 2 N 2j t 1 j 5x 1 = 3x 1 t2 2 x 2 h= 0 t 2t 3t F =NB 2 a.t net t NH+NB1 =NB 1, 5 = 1 2 2 .12.t g + a1 = a 1 t= s 10 + 2 = a a =NT2 2 \"õBóEBOZVLBSZBjI[ZMBEÐõFZBUMBOCJSDJT- NFBJUI[–[BNBOHSBGJóJõFLJMEFLJHJCJEJS j (m/s) 8. öMLI[TGSPMBOCJSDJTNJOEPóSVTBMZËSÐOHFEFJW- j0 me –[BNBOHSBGJóJõFLJMEFLJHJCJE JS a t Zaman (s) 0 5a ‹vme 2a a #VOBHÌSF 0 t 2t 3t Zaman B $JTNJOBUMNBI[j0LBÀNTEJS #VOBHÌSF CVDJTNJOmUBSBMôOEBBMEôZPMY ise 0 mU[BNBOBSBMôOEBBMEôZPMLBÀYUJS C $JTNJO ÀLBCJMFDFôJ NBLTJNVN ZÑLTFLMJL LBÀNEJS (g =NT2 IBWBEJSFODJÌOFNTJ[ $JTNJOI[-[BNBOHSBGJôJÀJ[JMFSTF (0 -U BSBMôOEBLJBMBO9JTF a) tanaDJTNJOJWNFTJOJWFSJS C 5BSBMBMBOINBYWFSJS 4at (t-U BSBMôOEBLJBMBOY x j j .5 3at (2t-U BSBMôOEBLJBMBOY 0 h= 0 = 50.5 (0-U BSBMôOEBLJBMBOYPMVS g= max 2 2 at 2x 6x t j h = 125 m 0 x 2x t 2t max 10 = & j = 50 m/s 5 3t 5. T B NTC N 1 8. 12x 7. 2

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www.aydinyayinlari.com.tr 11. SINIF İKİ BOYUTTA HAREKET ³ İki Boyutta Hareket t 98 ³ Yatay Atış Hareketi t 98 ³ Eğik Atış Hareketi t 102 ³ Karma Testler t 112 ³ Yazılı Soruları t 117 ³ Yeni Nesil Sorular t 119 97

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TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

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TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

Description: TYT AYT 11. Sınıf Fizik Ders İşleyiş Modülleri Modül 2 Newton'un Hareket Yasaları Bir Boyutta Sabit İvmeli Hareket İki Boyutta Hareket

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