Aula MOVIMENTO RETILÍNEO E UNIFORME E GRÁFICOS NA CINEMÁTICA. 6 META Fazer com que o aluno repense a importância do uso de experiências simples em sala de aula. Que ele perceba que a matemática é uma ferramenta poderosa na descrição e construção de modelos :) %)+,! #&%(*2$ %)(1@%)$))( 6<)%)#%"%):) %)$*(%+. ($%6<) sobre tecnologia de ensino. OBJETIVOS %@$")*+"%"+$%,(1 mostrar que com experiências simples podemos tornar o ensino de Física mais agradável. demonstrar como se pode usar software$) $%&().((1@%)&(* ()*)) obter a equação do movimento. Que com o uso de modelagem matemática podemos gerar uma &($ .#) $ @* ,%)*((%#%%+*+(%&(%))%(&%%$*(%"(," (%)%!* ,%) do ensino. PRÉ-REQUISITOS Os alunos devem ter cursado as disciplinas Psicologia da Educação, física A e B. ?EI=KOCNm?KO@A@AOHK?=IAJPKARAHK?E@=@AAIQIIKREIAJPKNAPEHsJAKQJEBKNIA %KJPAODPPLSSSHEV=N@KJQJAOLNK>N Instrumentação para o Ensino de Física I "(&#)OM# "KJPEJQ=J@K==QH==JPANEKN R=IKOEJPNK@QVEN=HAEPQN=A?KJBA?poK @ACNm?KOJ=?EJAImPE?=5=IKOB=VANQI=ATLANErJ?E=?KIQI?=NNEJDK @ALEHD=L=N=K>PANKO@=@KO@K,14AQO=NQI=LH=JEHD=AHAPNvJE?=L=N= B=VANK CNm?K$I OACQE@=R=IKO QO=N K .*!/2- * ''0.L=N=B=VAN= IK@AH=CAII=PAImPE?=@K,14AAOPQ@=NIKOKCNm?K@KIKREIAJPK %=NAIKOQI=NA?KN@=poK@A?KIKOAK>PqI=AMQ=poK@=NAP=A@A@QVENA IKO=AMQ=poK@K,14 4I= @=O D=>EHE@=@AO NAMQANE@=O L=N= = ?KILNAAJOoK @A ?KJPAz@KO @A%sOE?=q=?KJOPNQpoKAEJPANLNAP=poK@ACNm?KO$IQICNm?KQI= CN=J@AMQ=JPE@=@A@AEJBKNI=poKLK@AOANNAOQIE@=2AN?=L=V@AATPN=EN EJBKNI=pwAO@AQICNm?KqQI=D=>EHE@=@A@A?EAJPEOP=OALNKBAOOKNAO LKNqIIQEP=ORAVAOLKQ?K?KILNAAJ@E@=LAHKOAOPQ@=JPAO&Nm?KO@= ?EJAImPE?=EACNm?KO@ALKOEpoKRAHK?E@=@AA=?AHAN=poKAIBQJpoK@K PAILKOoKCAN=HIAJPAKOLNEIAENKOPN=>=HD=@KOAIQI?QNOK@A%sOE?= /NKLE?E=N?KJ@EpwAOL=N=MQAKO=HQJKO=LNAJ@=I=EJPANLNAPmHKOAQPEHEVm HKO?KIKQI=@=OLKOOsRAEONALNAOAJP=pwAO@ABAJvIAJKOBsOE?KO?KJPNE >QEJoKOKIAJPAL=N===LNAJ@EV=CAI@=?EJAImPE?=I=OP=I>qIL=N== =LNAJ@EV=CAIBQPQN=@AKQPNKO?KJPAz@KO /=N= @=N QI AI>=O=IAJPK PAuNE?K A PN=VAN ATLANErJ?E=O @A =HCQJO =QPKNAO OK>NA K =OOQJPK R=IKO B=VAN =MQE QI= =JmHEOA ?NsPE?= @K =NPECK PERE@=@AO @A IK@AH=CAI ?KILQP=?EKJ=H JK =QTsHEK k EJPANLNAP=poK @A CNm?KO@="EJAImPE?= N=zFK -KIKREIAJPKQJEBKNIA=RAHK?E@=@AJoKOA=HPAN===?AHAN=poKqJQH== 2Q=RAHK?E@=@Aq?KJOP=JPAKQOAF=JoKOA=HPAN=JK@A?KNNAN@KPAILKAKIuRAHLAN?KNNAAOL=pKO ECQ=EOAIEJPANR=HKO@APAILKOECQ=EO %KJPAODPPLSSSOE?=L=E@ACQ=?KI 118 !("+" Aula 6 (*' &Nm?K$OL=pKT3AILK )mO=>AIKOMQA="EJAImPE?=LNK?QN=@AO?NARANKOIKREIAJPKO@KO ?KNLKO "KIKLK@ANAIKOEJE?E=N=@AO?NEpoK@KIKREIAJPK@AQI?KNLKMQA OA@AOHK?==KHKJCK@AQI=PN=FAPuNE= /=N=@AO?NARANIKOKIKREIAJPK@AQI?KNLK@ARAIKO?KJDA?ANKO EJOP=JPAOAIMQAK?KNLKL=OO=LKN@EBANAJPAOLKOEpwAO=KHKJCK@AOQ= PN=FAPuNE=AAJPoKNAH=?EKJ=N=LKOEpoK@AQI?KNLK?KIKEJOP=JPAAIMQA AHAOAAJ?KJPN=JAOP=LKOEpoK %ECQN=,A@E@=O@A AOL=pKA PAILK=L=NPEN@=K>OANR=poK@AQI@APANIEJ=@KIKREIAJPK %KJPA%ECQN=IEJD= %EC,A@E@=O@A AOL=pKA PAILK=L=NPEN@=K>OANR=poK@AQI@APANIEJ=@KIKREIAJPK 4I=P=>AH=@AR=HKNAOJQIqNE?KOLK@ANmOANK>PE@=@KOR=HKNAOIA @E@KO@A AOL=pKA PAILK=L=NPEN@=K>OANR=poK@AQI@APANIEJ=@K IKREIAJPK %ECQN=&Nm?K AOL=pKA PAILK %KJPA%ECQN=IEJD= %ECQN=&Nm?K AOL=pKA PAILK %KJPA%ECQN=IEJD= 119 Instrumentação para o Ensino de Física I "KI=P=>AH=LK@ANAIKO?KJOPNQENQICNm?K=K=OOK?E=N?=@=EJOP=JPA ?KI ?=@= R=HKN @A AOL=pK A NALNAOAJP=N AOOAO ARAJPKO AI @KEO AETKO ?=NPAOE=JKOKNEAJP=@KO L=NPEN@AOOACNm?KLK@ANAIKOPAJP=NK>PANQI=NAH=poKI=PAImPE?= AJPNA=O@Q=OCN=J@AV=OA=OOEI=J=HEO=NIAHDKNK?KILKNP=IAJPK@K?KNLK @QN=JPAKIKREIAJPK L=NPEN@AOOACNm?KLK@ANAIKOPAJP=NK>PANQI=NAH=poKI=PAImPE?= AJPNA=O@Q=OCN=J@AV=OA=OOEI=J=HEO=NIAHDKNK?KILKNP=IAJPK@K?KNLK @QN=JPAKIKREIAJPK $MQ=poK@=NAP=2=>AIKOMQA=AMQ=poK@=NAP=q@=@=LKN 225PP .J@AOQ>OPEPQsIKOULKN2ILKN5ATLKNP OOEIPAIKOMQA= RAHK?E@=@Aq@=@=LKN 522PP}2}PGIO 3KI=J@KLKNATAILHKKLKJPKP2K>PANAIKO=AMQ=poK 2PKQ2P (*' .IKREIAJPK@AQI=L=NPs?QH=ABAPQKQOA=KHKJCK@AQI=PN=FAPuNE= NAPEHsJA=-QICNm?K2P@AOOAIKREIAJPKLK@AIKOHK?=HEV=NKOLKJPKO !"#A$?KI2AIIAPNKO APAIOACQJ@KO =1ALNAOAJPAJKCNm?K2PKOLKJPKO@=@KOAPN=?AQI=NAP=HEC=J@K KOLKJPKO >2A=@IEPENIKOMQAKIKREIAJPK?KJPEJQKQOAI=HPAN=poKMQ=HqKR=HKN @K AOL=pK@K?KNLKJKEJOP=JPAPO 120 !("+" Aula 6 ?0Q=Hq@AOHK?=IAJPKAO?=H=NAJPNAKOEJOP=JPAOOAO @0Q=H=@EOPnJ?E=ABAPER=IAJPALAN?KNNE@=LAHK?KNLKAJPNAKOEJOP=JPAO OAO +Q@KPq?="KIQI>=N>=JPAB=p=QI=HEJD=NAP=JK?DoK,=NMQA K?DoK@AOQ=O=H=AIQJE@=@AO@A?I3KIAKOAQ?=NNEJDK@ALEHD=A I=NMQAKPAILKMQAAHAHAR=L=N=LAN?KNNAN?I+=J?AKO @=@KOAIQI=P=>AH=AB=p=KCNm?K %ECQN=&Nm?K AOL=pKA PAILK %KJPA%ECQN=IEJD= %ECQN=&Nm?K AOL=pKA PAILK?KIAMQ=poK@=NAP= %KJPA%ECQN=IEJD= 121 Instrumentação para o Ensino de Física I $OOACNm?KAQV?KIK$T?AH >N=K$T?AHJKOAQ?KILQP=@KNA LNAAJ?D=KO@=@KOJ=BKNI=@AQI=P=>AH=RANPE?=H?KIKJ=CQN==>=ETK "HEMQAAIEJOANENCNm?K@EOLANOoKARK?rPANmKIAOIKNAOQHP=@K %ECQN=/mCEJ=@KAT?AHH %KJPA/NuLNEKOKBPS=NA $IO=H=@A=QH=RK?rPANmMQAB=VAN=IoK?KIKO=HQJKO.MQAqKE@A=H CKN=RmJKCNm?KAPKIA@KEOLKJPKOL=N==?D=N=AMQ=poK@=NAP= $O?KHDAIKOKOLKJPKOA OOEIPAIKO 522PP}2}P?IO 3KI=J@KLKNATAILHKKLKJPKP2K>PANAIKO=AMQ=poK 2PKQ2P %=VAJ@K/NAREOwAO CKN=KE@A=Hq=>NENQI=@EO?QOOoKAIO=H=@A =QH=OK>NA=EILKNPnJ?E=@AQI=AMQ=poKI=PAImPE?=/ANCQJPAOAOKHP=N IKOJKR=IAJPAK?=NNEJDKKJ@AAHAOAAJ?KJPN=Nm@A?KNNE@KOOKQO 5ANEMQA?KIAHAO 122 !("+" Aula 6 %ECQN=&Nm?K AOL=pKA PAILK?KIAMQ=poK@=NAP= %KJPA%ECQN=IEJD= (*' %=VAJ@K,K@AH=CAI,=PAImPE?=* ''0. >N=K .*!/2- (* ''0.AJ=F=JAH= IK@AHKI=PAImPE?KEJOEN==AMQ=poK @KIKREIAJPKQJEBKNIA "HEMQAAIEJPANLNAP=N 5=IKOAO?KHDAN=N>EPN=NE=IAJPA2KKQOAF=KI=N?KVANKAR $IOACQE@=?HEMQAJK>KPoKL=NPs?QH=AAIOACQE@=?HEMQAJ=PAH= $O?KHD=QI>AHK?=NNKL=N=OQ==JEI=poK"HEMQAJK>KPoKEJE?E=NA@AETA K?=NNK=J@=NLKNQJE@=@AO@APAILK 5mkP=>AH=ARANEMQAMQ=HqK2?KNNAOLKJ@AJPAkPQJE@=@AO#ARA PANOE@KQJE@=@AO@AAOL=pK2AOQLQOANMQA=QJE@=@A@AAOL=pKqK ?AJPsIAPNKA=@APAILKqKOACQJ@KPAIKOMQAO?I >N==F=JAH= CNm?KANA@EIAJOEKJAKOAETKOL=N=KCNm?K?=NI=EO REOsRAH/KJD=KIKQOAOK>NAKAETKARAF=MQAAHAIQ@=L=N= 1AEJE?EAKIKREIAJPK-KPAMQAJ=IA@E@=AIMQAAHAR=EH=Jp=J@K LKJPKOJ=P=>AH=AHAR=E?KJOPNQEJ@KKCNm?K +AEKPATPK=>=ETKA@EC=OARK?r?KJ?KN@=?KIAHA"KIAJPA 5K?rPARAQI=IAHDKN?KILNAAJOoK@KOCNm?KOJ="EJAImPE?=LAHK B=PK@ARK?rRANKCNm?KOANBAEPK?KJ?KIEP=JPAIAJPA?KIKIKREIAJPK 123 Instrumentação para o Ensino de Física I %ECQN=&Nm?K@K,14%KJPA%ECQN=IEJD= %EC&Nm?K@K,14 (JPANLNAP=poK@ACNm?KO@="EJAImPE?= N=zFK LNK@QpoK @KO CNm?KO BKE OEJ?NKJEV=@= ?KI = NA=JEI=poK @K IKREIAJPK@ABKNI=MQAKOAOPQ@=JPAOLQ@AOOAIRANKK>FAPKOA IKRAJ@KAKPN=p=@K@AQICNm?K?EJAImPE?K?KNNAOLKJ@AJPA=AOPA IKREIAJPKOEIQHP=JA=IAJPA.ONAOQHP=@KOK>PE@KOJAOPAAOPQ@K EJ@E?=IMQAAOP=Pq?JE?=JoK=LNAOAJPKQQI=R=JP=CAIA@Q?=?EKJ=H OK>NA = BKNI= @A EJOPNQpoK PN=@E?EKJ=H . =QPKN =NCQIAJP= MQA @AO@A MQA !N=OOAH :; A KQPNKO LAOMQEO=@KNAO @AIKJOPN=N=I = OQLANEKNE@=@A@=OLNmPE?=OQPEHEV=J@KKLNKCN=I=,!+AINAH=poK kO Pq?JE?=O PN=@E?EKJ=EO @A AJOEJK KO NAOQHP=@KO @A OAQ AOPQ@K OQCANAIMQA=FQOP=LKOEpoKREOQ=HJoKqQI=R=NEmRAHNAHAR=JPAJ= IAHDKN=@K@AOAILAJDK@KO=HQJKOJ=EJPANLNAP=poK@ACNm?KO@= "EJAImPE?=.B=PKNMQANA=HIAJPAB=V=@EBANAJp=OACQJ@K!AE?DJAN q = EJPAN=PERE@=@A@K AOPQ@=JPA ?KI K ATLANEIAJPK$JPAJ@AIKO MQAKQOK@AQI=BANN=IAJP=MQALQ@AOOA@AO?NARANKOLNK?AOOKO @EJ=IE?=IAJPALANIEPEJ@K=K=HQJKEJPAN=CEN?KIKIKREIAJPK @KO?KNLKOAJRKHRE@KO=KIAOIKPAILKAIMQAK>OANR=KOCNm?KO OAJ@KPN=p=@KOLK@ANE=REN=B=?EHEP=N=OQ=?KILNAAJOoK@KARAJPK .QPNK=OLA?PKEILKNP=JPA=OANO=HEAJP=@KqK@=IKPER=poKL=N= =LNAJ@ANLNKLKN?EKJ=@=LKNAOPAPELK@AEJPAN=poK HqI@KEJPANAOOA J=PQN=H@AOLANP=@KLAHKQOK@AIE?NK?KILQP=@KNAOKONAOQHP=@KO K>PE@KO LKN N=QFK :; OQCANAI MQA = =LHE?=poK @A =PERE@=@AO @A IK@AH=CAI?KIK=O@AO?NEP=OJAOPA=NPECKATAN?AQI=EJQrJ?E= 124 !("+" LKOEPER= J= LNA@EOLKOEpoK @K EJ@ERs@QK L=N= =LNAJ@AN %sOE?= (OPK K?KNNA J= IA@E@= AI MQA = NAHARnJ?E= @A @APANIEJ=@=O NAH=pwAO I=PAImPE?=OA?KJ?AEPKOqLAN?A>E@=LAHK=HQJK@QN=JPAKLNK?AOOK @AEJPAN=poK?KIKOIK@AHKO?KJ?AEPQ=EOLANIEPEJ@KMQAK?KJPAz@K REOPK=JPANEKNIAJPALKNAHAAMQA=PqAJPoKAOP=R=IQEPK=>OPN=PK L=OOA=PANQINABANAJ?E=HI=EO?KJ?NAPK Aula 6 2ACQJ@K!AE?DJAN:;=?NAJp=@AMQAKOCNm?KOOoKQI=AOLq?EA@A BKPKCN==@KIKREIAJPKqLNKR=RAHIAJPA=LNEJ?EL=H?KJBQOoKMQAKO=HQJKO B=VAI=KOA@AL=N=NAI?KICNm?KO@="EJAImPE?="KIKQIATAILHKu>REK @AOP=OEPQ=poKEI=CEJAIKOQIC=NKPKJQI=>E?E?HAP=@AO?AJ@KQI=?KHEJ=A @ALKEO?=J@KOK>NAQILAMQAJKIKNNK0Q=J@KKO=HQJKOOoKOKHE?EP=@KO = PN=p=NAI CNm?KO ?EJAImPE?KO NAHAR=JPAO @= OEPQ=poK BNAMQAJPAIAJPA K MQAqPN=p=@KqQICNm?KUROTIKOPN=J@K=@AO?E@=@=?KHEJ=A=OQ>E@= JKLAMQAJKIKNNK=KEJRqO@AQICNm?K@AUKQMQ=HMQANKQPN=R=NEmRAH ?EJAImPE?=ROP$OPAANNKqAOLA?E=HIAJPALNK>HAImPE?KMQ=J@KKIKRE IAJPKDKNEVKJP=HqQI=BQJpoKHEJA=N@KPAILK-KIKREIAJPK@ALNKFqPAEO LKNATAILHK=O?QNR=OJKOCNm?KO=HPQN=RO=H?=J?AA=HPQN=ROPAILKPrI KIAOIKBKNI=PKL=N=>uHE?KB=VAJ@K?KIMQA=REOoK@ACNm?KO?KIK BKPKCN==O@KIKREIAJPKOAF=@EBs?EH@A@APA?P=NLKEOKAOPQ@=JPALK@AAOP=N PN=>=HD=J@K?KIQIPELK@ACNm?KI=OLAJO=J@KAIKQPNK %ECQN=&Nm?K?KICQN=@K,KREIAJPK %KJPA: N=QFK5AEPA,KNAEN=; -KAOPQ@K@KPAI=EJPANLNAP=poK@ACNm?KO@="EJAImPE?=,?#AN IKPP1KOAJMQEOPA5=J9AA:,?#ANIKPP;=J=HEO=N=I=OJ=NN=PER=OBAEP=O LAHKOAOPQ@=JPAO@QN=JPAKLNK?AOOK@AAH=>KN=poKA=JmHEOA@KOCNm?KOA E@AJPE?=N=I@=OLNEJ?EL=EO@E?QH@=@AO=LNAOAJP=@=OLKNAOOAO=HQJKO =KPN=>=HD=NAI?KICNm?KO?EJAImPE?KO"EJ?K@AOP=O@E?QH@=@AOAOPoK AI?KJA?P=NKOCNm?KO=KO?KJ?AEPKOBsOE?KO=@EO?NEIEJ=NAJPNAEJ?HEJ= poKA=HPQN= >EJPANLNAP=NIQ@=Jp=OJ==HPQN=AIQ@=Jp=OJ=EJ?HEJ=poK 125 Instrumentação para o Ensino de Física I %ECQN=&Nm?K?KICQN=@K,KREIAJPK %KJPA: N=QFK5AEPA,KNAEN=; %EC&Nm?K?KICQN=@K,KREIAJPK ?NAH=?EKJ=NQIPELK@ACNm?K=KQPNK @NAH=?EKJ=N=J=NN=poK@AQIIKREIAJPK?KIQICNm?KMQAK@AO?NARA AEJPANLNAP=N=mNA=OK>KCNm?K %ECQN="KJBQOoKAJPNA=HPQN=AEJ?HEJ=poK %KJPA: N=QFK5AEPA,KNAEN=; :%EC"KJBQOoKAJPNA=HPQN=AEJ?HEJ=poK 126 !("+" OKQPN=O?EJ?K@E?QH@=@AOAJ?KJPN=@=OAOPoKAI?KJA?P=NCNm?KO=K IQJ@KNA=H=NALNAOAJP=NIKREIAJPK?KJPsJQKLKNQI=HEJD=?KJPsJQ=> OAL=N=N=BKNI=@AQICNm?K@=PN=FAPuNE=@KIKREIAJPK?NALNAOAJP=N RAHK?E@=@AJAC=PER=@NALNAOAJP=N=?AHAN=poK?KJOP=JPAAB=VAN@EOPEJpoK AJPNA@EBANAJPAOPELKO@ACNm?KO@KIKREIAJPK3AJ@KAIREOP=KONAOQH P=@KO@AOPAPN=>=HDK!AE?DJAN:;LNKLvOK@AOAJRKHREIAJPKA==JmHEOA @AQIPAOPAL=N==RANECQ=N=EJPANLNAP=poK@ACNm?KO@="EJAImPE?=LKN L=NPA@KOAOPQ@=JPAOB=VAJ@KP=I>qIKHAR=JP=IAJPK@AOQ=OLNEJ?EL=EO @E?QH@=@AO$HA=NCQIAJP=MQAKOLNKBAOOKNAO@A%sOE?=QPEHEV=ICNm?KO ?KIKQI=OACQJ@=HEJCQ=CAI@A?KIQJE?=poK=@IEPEJ@KMQAOAQOAOPQ @=JPAOLKOO=IK>PANQI=@AO?NEpoK@AP=HD=@=@KOEOPAI=BsOE?K=J=HEO=@K =PN=RqO@AOPAPELK@ANALNAOAJP=poK(JBAHEVIAJPAOAQPN=>=HDKEJ@E?=MQA KOAOPQ@=JPAOJoK?KIL=NPEHD=I@KIAOIKRK?=>QHmNEKMQAKOLNKBAOOKNAO 3K@KOKOAOPQ@=JPAOMQAL=NPE?EL=N=I@KPAOPAFmD=RE=IOE@KATLKOPKOk "EJAImPE?= 3=>AH=@AO?NARAMQ=EOBKN=IKOK>FAPERKO=>KN@=@KOLAHK PAOPAA=3=>AH=NABANAOAkO@E?QH@=@AOMQABKN=II=LA=@=O=PN=RqO@= QPEHEV=poK@KPAOPA Aula 6 3=>AH=.>FAPERKO@KPAOPA34&* 127 Instrumentação para o Ensino de Física I 3=>AH=#E?QH@=@A@KOAOPQ@=JPAO $TAN?s?EK4I=QPKIuRAHL=OO=LKNQILKOPKLKHE?E=HkGIDKJ@A KHEIEPAImTEIK@ARAHK?E@=@Aq@AGID-AOPAEJOP=JPAQILKHE?E=H O=E=KOAQAJ?=HpK@KNALKQOK?KI=?AHAN=poK@AGID$IMQ=JPK PAILKAMQ=JPKKLKHE?E=HEN==J@=N=Pq=H?=Jp=NK?=NNK%=p=KCNm?K@K IKREIAJPK 1AOKHQpoKQO=J@KK .*!/2- * ''0. >N=K .*!/2- (* ''0.AJ=F=JAH= IK@AHKI=PAImPE?KEJOEN==AMQ=poK @KIKREIAJPKQJEBKNIAA@K,145 "HEMQAAIEJPANLNAP=N 5=IKOAO?KHDAN=N>EPN=NE=IAJPA2KKQOAF=KI=N?KVANKAR $IOACQE@=?HE?GJK>KPoKL=NPs?QH=AAIOACQE@=?HE?GJ=PAH= $O?KHD=QI>AHK?=NNKL=N=OQ==JEI=poK1ALEP=L=N=QI?=NNK@ALKHs?E= "HEMQAJ=F=JAH=CNm?KOAOAHA?EKJAOAOLKHL=N=AHALHKP=N-=F=JAH= P=>AH=I=J@AAHAIKOPN=NKO@=@KO@APOARLKH "HEMQAJK>KPoKEJE?E=NA@AETAKO?=NNKO=J@=N=PqMQAAHAOOAAJ?KJPNAI #EO?QP=OK>NAENNA=HE@=@A@KATAN?s?EK 128 !("+" Aula 6 %ECQN="KJBQOoKAJPNAR=NEmRAEO?EJAImPE?=O %KJPA: N=QFK5AEPA,KNAEN= %EC"KJBQOoKAJPNAR=NEmRAEO?EJAImPE?=O 2ACQJ@K KO =QPKNAO =?EI= = I=EKN ?KJBQOoK MQA KO =HQJKO PrI q = ?NAJp=@AMQAKOCNm?KOOoKQI=AOLq?EA@ABKPKCN==@KIKREIAJPK 5K?r?KJ?KN@=?KIAHAO 2ANmMQA=KNAOKHRANQIATAN?s?EK?KIKK=?EI=LANCQJP=NIKOLKNMQA KCNm?K@K?=NNKqHEJA=NAK@=LKHs?E=JoKFmMQAKO@KEOIKREIAJPKO OoKNAPEHsJAKOENmNAOKHRANAOO=@zRE@=@KOAOPQ@=JPAO 5K?r ?KJ?KN@=MQAKO=HQJKO C=OP=NE=IIEJQPKOL=N=IKJP=NQI IK@AHKI=OJoKC=OP=NE=IIEJL=N=NAOKHRANKATAN?s?EKJKL=LAH 5K?r=?D=MQAQIATAN?s?EK@EJnIE?KAEJPAN=PERKENm=QTEHE=NK=LNAJ @EV=@K@KQOKA=EJPANLNAP=poK@ACNm?KOJ="EJAImPE?= (*' ,K@AH=CAI?KILQP=?EKJ=HAPAOPAL=N==R=HE=poK@KO?KJDA?EIAJPKO : N=zFK; -KPN=>=HDK@A N=QFK=P=HHAHAO?KHK?=N=Ik@EOLKOEpoK@=?K IQJE@=@AQI?KJFQJPK@A=PERE@=@AO?KILHAIAJP=NAO@AAJOEJK@A%sOE?= AJRKHRAJ@K=ATLHKN=poKA=?KJOPNQpoK@AIK@AHKO?KILQP=?EKJ=EO?KIK QILNK?AOOK@AEJPAN=poKATLANEIAJPK=HQJK ATLHKN=poK@AOOAPELK 129 Instrumentação para o Ensino de Física I @AIK@AHKB=V?KIMQAKAOPQ@=JPAOAMQAOPEKJA?KJOP=JPAIAJPAOK>NAKO ABAEPKO@AOQ=O=pwAOOK>NAKONAOQHP=@KOCAN=@KOLAHKIK@AHK?KILQP= ?EKJ=HJKNI=HIAJPAAOP=MQAOPoKLK@AOAN@AO?NEP=?KIKOAAQ=HPAN=N EOOKKMQA=?KJPA?A?KI=MQEHK$OPAN=?EK?sJEK?=QO=HOQ>F=?AJPAOAN 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