[Φυσική Α´ Λυκείου] Σχολικό βιβλίο - Δαπόντες & Κασσέτας

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ps oqp€roK6crvrrrefpevoI.q;.rerrirvoup€'r0q6oq rou, €vrofii(oupe
6qlo6q ro rer-pdycrrvoro orroio ppioreror, oe 6rdrpopeglpovrrdg
orrypig. tDrrdlvoupe xcxrivov rrivcrro rrov Oioecrivrou Kot rcDVo-
vriororX<ovlpovr rr6v orrypc6v.

Av opreoro6prepovo orrg nlqpogoprcs rrourrroipvoupe o116ra
rerpdyc,rvooro orroio ppdeqreoe 6rdcpopelgpovrrig orrypdg,11rre-

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orqv6odorrlpc o{6vov xOy rccrvc rroipvoup€rrs rrlrlpocpopieygro
xdOeOioqarrdrrg ovriororle5ouvrercypfvrg.

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prdvonueprypdrperoFt€rts Xpovrri5ouvoprrloersrov ouvreraypi-
v(DVrou. Orouvoprqoergourig ldyovral e{tcrt6oelrgivqo4g.

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66o:x:x(t) ror y:y(t). fro rivrloqo€ Flrd6ldorcorliloupre;lo e{i-
ocool,rrl x:x(t) q onoio pog6iverrq Oioqr()u ovrrKapivouoe rd-
0elpovrrrlorrypq.

Y.nf l e, woto ou, ornpaaYggoPtos

To rapcxpdrirXeroolrrdperarrd ro trrpdvrro,.lrlerpqrdyro rqv Aryr-
va. Irqv rrpripvq,ivog eugdvrooroserrrBdrrlgplirrer rov flerpold
vq orrol-rcKp6verro<roor rdgrerdt vo rprrdf,eer {ror6oerrgfvqor15.
Irrlv onopdOpoivog trrprevepydrxqogrrd(ernpos rn ;.reprrdqg 116-
trqgrco<r puorrcedivororyoupo56rr o l'lerpordg;.riveor rrl 0io4 rou.

Kdrr ovdtroyoou;.rBoiveKl otp€ rou5 cle{rrrr<lrrrorig rrou
errrlerporivdvo orpoporrx6 vo6pepo orov cipc. 'E1ouvrri-
oer qrr6 ro oeporrtrdvo Kqt rrp6xerrol ..rooXqporioouv ivo
<oordpr>.'Evo5o116curo65, oe oXdrrrlpe ro 6rrrlov6 rou,
eivorarivrlrog, evc6o i6rog,ovogoprr<i pe rr1 fq, rricprer.

Ag 6oripe ;.reivo rpiro ncpd6e ry;ro Kqr ro 4qrr1porqg

rpo1d5. 'Evc noproroli loprrdrr eivoror€p€rDFfvoorrl (dvro ev6g
rro64lorou.

Tr rivqoq rdver ro <pavdplrrou ppiorerot oro rrevTdl;
frq rov rro6qldrrl 11rpold rou eivsl rurl,rrrl, evc6yro ivqv rro-
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Frrdll rrou ldy€rcr KuKlosr61lT5o. govdpr rou no6r1trorour,opo
yro rov no6qldr4 eivoroxivqro.fro rrlv rropdrnpnri dpog rrou
ppiorerororo i6ocpo5'roi6rorpovdpreucpovf(erpr old eu06ypcp-
Frl.

[1poro6<prdooupoee ouvotrrrdoup'nepdoporoo,S0up4Oodpe
drr or ouvrercrypivee5v6gorlpreioculld(ouv rd0e rpopdnou otrld-

qoupr ouorrlF0 qvoqopos.
To oupnepdoFGrq rrirpo. H x(v4oq evrigovrtrerpdvou neprypri-

g€rcrr ;re6ragoperrxdg e{rotiorrs Kur epgovi(er 8ragoperrx{ tpo-
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pnoporiprevo rdvoupe rrlv nsprypocpqyrag rivrlorlg, prroporiprevo
nodpe 6rr ro rro rordtrtrqtroeivorexe(vc,oroonoio q rivqoq nepr-
ypdgerorrrro orrld.

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FroS.AScpavrcorofps rrlv drpq rou ovr-ilerpo pro5 ro0qyrlrprog,
rrou rrpoofioOe(vo er-rrrorvovrloero, r-rd;lorprd, F€ prCIouvd6elg6
rrls os 6pa 6ratrefppqros.Ko0c6gro lipr rns F€rcKrveiror o116prro
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pou oro onofq ppiOqxerl dKprlrou avri;1erpc. To dvo og ro no6pe

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H NEPIPAOI.T] H: KINN:I-'1>

(A) Kdrro dllo <B>.'Evognol6 pohrdg rp(inog ytd vo rrcpcorq-

ooup€ ourrl r4v o)ilat4 Odor1geivorvq oXe6rriooupeo' ivq Xoprf f-
vo eu06ypopporprlpo qrrd ro A oro B rcr dcnepq vo qrraKovioou-
p€ F€ rrlv or1;.r(ev65pilou5 ro yeyov656rr q dxprl rou ovrrXerpo{-
rc.v oro A rol pp€.1r1reoro B.

To pitrog nou 6r1;.rroupyrloopiXreer opropivo gr1ro5KqrouyK€Kpr-
privqrcre60uvoq. Kd0eriroro pilo5liyero perordnrorl, H ;.rero-
r6nroq ovogiperor o€ orlF€rqKdovrrrcefpevo'roorroio olld(er 0ior1
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oroorl rov 66o Oioecovror p) o116rqv roredr3uvoqr4g.

O xovdvcA rtov Frroronioeov. Meyd0q 6rovuqrcnrri. Av 11ro-
Oqyqrproe(orolouOef vo ;rrlder,xouvr6vrog'ro Xipro rqg, ;rnopori-
p€ vo fiopoor4oouprepro end;.revqpreror6nroqorrd ro B oe dvq dtr-

tro oqpefo l-. Edxotrq6rorrrorcbvoupedrr ro rtfurd orrordleopo rcrrv

6do perororrioeov 0o e(vorro i6ro F€ rrl F€r(xr6rrrorlo116ro A oro
F.Tq percrdnroq AI-ovopd(oupredOporopor(DV6rjo dll<ov prsroro-

rrioecovrorypdgouye :

nJ=ni+si

Kd0r dvvorqrrou ouFrfisprgiperor6nolg 11peror6nroq liyeror

6rdvuoproM. 'dllo l6yro ra 6rcv6opcro rivoir dvvoregor orroiegc)
dyouv pdrpo rsr xared0uvon Kcrrp) npoorieovrcr oripgtovcrF€
rov rqvdvc rrrlv F€TcTorrioeov.

H Odoq,q ro16111ro,q errrrdXuvorl,I oppri, rl 66vopq eivorpreyf-
0r1rrou rrcprordvovror Fs 6rov6oprcrorar trf'yovror6lovuo;rcrrxd.
4116rqv dtrlq, peyiOq6n<o51y61a, 11lpovrrq 6rdprero,ro fpyo, 11
rrurvdrqro, orc orroio ro pirpo rous Kqrp6r'o eivorororXeioopre-

rd yro vo rq npoo6ropioer,ldyovror ;rov6yer5n r1poOporrd.
Boor(6;.revolro, rn6v, orov rsvdvo r(Dv perororrioecovpnoporipre

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H N E P IIP A OTFF]]:K IN I:H )

vo fipooeioouFs 660 6ravdoparo o5 e{rig:
Merogipoupenopdtrlqlo ro ivo qrrrjourd c6ore11oppl rou vo
oupnfnrerpero rripog ro.r dltrou.To dOporopqrous
0o ovrrororlei orqv ntreupd Ferqv orroio<rle(vel>ro
rpryotvoror 0o roreu06ver-qcrxrr6r4v oppl rou rrpc6_
rou rrposro ndpagro 6e6-repou.
O xovrivogrou nopol,t4loyprippou.'Evogdlloq
rpdnog eivoro ley6pevogrov6vogrou nopotrtrrllo_
ypdppou.Mrrogdpoupen<xpdllqlo ro ivo qrrd ourd

<6oreor 66o oplig vo oupnioouv Kdrcr;1e6rd(ouproe napollqld_
ypotrpo or 6rio nleupdg rou onofou ov1-rororxo6vorq 66o 6rov6-
opcrd. To dOpotopd0q ovrtororXeoi rrl 6rcryc6vrou nopotrtrr;lo_
ypdppourar 0o roreu06verqfriposrqv.rdroprqropurprl.

E{urror<oderqrdrr o rovdvog rou nolrollqloypdppou 6sv prro_
pei va €(poppoorrfov ro 6rio 6rtxvrjoproroiXouv i6regr1o_
v r i O e r e gr o r e u 0 6 v o e r go.
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ovol6ooupreiva 6rdvuopq o€ 66o ouvlorrioeq.

- H ld{r1 xa're60uvor1prropef vq cv.rrrqOrorir rr5 66o l6{e r5nou errfoqg
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F.-;l fro vo neprypdrgoupsrqv r(vr'1oq1percr(6paore6pyovo yro dpeoeg
perpqoetgXpdvalvrqr qrroordoeotv 11rcdrrrrou 0o prropodo€vo ro
ovrrKqroorqoa. Krcurd yrcrrforrg yprlyopegrrvrloerg6evnporproi-

voup€vo oqperrivoup€rrs OioerqKCxrt s Xpovlrig orry;-rdgY.ndp-
louv d,pcrrfgi€rpcporrKdgreXvrrigpe rrg oroir,s ro fi€ruxoivouye.

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;rnoporipevu rrpoo6ropiooupOe doergror lpovrxdgorrypdg.
O 4lexrprxri5 lpovo;.rerprprigpe laprorurvfc,

rrou ouvr1O<ougndpXer oro q1oh16 epyoorrlpro, ef-

vor ivo e61pr1oroepyoAeioy o rrlv rlvqlooio prrog

eu06ypoppr;grivrloqg ovd ioou5 Xpdvou5,roOdvo5
cxrrdroug orroiou5pnopef vc t ivqr dvo prrp6 rtrdopo
rou 6eurepotrdrrrou.'Evaogrpecpdpevorgpoldg (11

;.rronoll6pevq ori6o) ocpqvr:rp,e rq Borl0€rorou
r<oppndv,i1vr1ndvc,rorq -our'6e6epdvrp1e ro rrvo6-

pr€voovrrK€iprevo-XnprororvfHore. rrdva rrou rroip-

voupr pog 6iverro o6volo rorv rXvtiv,oopopdg,611-

tro6(, rrtrqpogopiegyrGro roroprrdrr15xivqoqg.

H aeporprirre(c eivar dvo rcrpc6rro(rooc) rou o-

moiou q rrdvcoerrrcpdveroeivcrr etre(otgerrirre6qxor

iler ivo rrurvd 6frruo arr6 prr<pdrgprjneg porpo-

opdvegrovovrrd. To rcrpc6rrropogo6oreiror p€ ou-

prrreopivooipo. O ofpog rrou Byoivslond rrg ;rr-
rpi5 rprineg, napeppdllersr ovdpreooorrlv errrcpd-

vao rou r<rpc6rroKuororrlv enrcpdveroevdg6iorou
nou ppforerqr rrdvo oro rcrpc6rrorrdre 6rlptoup-

yei'rcrdvo ei6og<oepoprcx{rlopro6A>v. onpcS{ou;re

rov 6ioro, ourd5 0a rrvrl0ef rrdvororrlv errrcpdvreo

p€ouoroorrrd erprrl6evroprivrerg<r, prpig.

Ta ouroorqpr(riprevc rrv4r-d eivorr<ufuv6prxodu-
vqOorgoriprarc rrou pyd(ouv oipc o116rqv r<dro errrgdverd roug
ror 6rlproupyo6vro 6rrd roug aepopo{rldpr. 'Eror Xtrlpi'Svo dXouvo-
vdyKnrr5 rp6neq Korrov tiepo rqg oeporpdne(o5 ;rnopofv vo Lrsro-
rorri(ovror rdvco oe enirre6qenrgdvero ouororrrrd Xopi'Srprpdq.

lF'e v t K o

H 0dor1Kqr q Fsrtrrdnro4. fra vs neplypdrpoupsrqv eu06ypopprl
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6rr ro rrvodpevoovrrrefpevorord rq trpovrrrol rryprlt, ppioreror
oro M,. To 6rdvuopoOM, rrcprordver,) guorr<ipiyeOog0doqrou

cv'nxetp6voxuorouprpotri(eroprex'. H lrprrprou 6ravuoporrrodou-

rof peyfOougeivar0errrq erp6oovq ro'reriOuvorol u 6rovrioprorog

ouprrirrrerprerq Oerrr<rro1re60uvorlrou d{ovo Kororrlv ovri0erq

rrepirrtcooqopvrlrrrr1.

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vqr6 ppiorerqroro oqpeioMr. H via Oioq(xf noprordverorpero
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ovrrrerpdvoxuord rq lpovrrq6rdprerocrrrdt, p61ptrr.4116ro oXq-
prceivorgcvep<Oi rr?+vR ,4 \M?,:B?

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peqrrvqoergp, nopodpsvo rrl ouppotri(ouppeeAx.Av ;.r€x, ror x,
ouppolioouperrg cvriororx€Sotryepprrdrrr;pig 0a 61oupeAx,:xr-x,

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p) H iworo perar6rrc4 (peropotrq06or1qc)rvogiperoroe rrvodpevo
oq;reroxo6vrrreipevo e d€ovoKoro€ ouyrerprpfvrllpovrx46rdp-
re1c.Av n rrp4 rqg efvcr0errrrloqpoiverdrr ro cvrrrefpevoF€TqKl-
vqOrlxerrposrn 0errxrlxore60uvoqrou ri{ovo.

Kord rqv neprypacprrrllg eu06ypcpFrrrlisvqorlgo paor165po5
o161o5e(vorvo roroorpr6oouF€tqv e{focooq0doqg- lpdvou
x:x(t). H enr6iro{rp1ogourrl rrpoDno0irErr lyvoprFfopeopropivc

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F€yferl/drrog q raplrrlro ror q errrrdxuvon.

ndoo ypriyopc rrveiral; l-lpo5'rcrtrou xqrsrrOdvoratl flo vo ofio-
vrqooupe oro epcbrqprc<trr6rsayp4yopcu rp:i1er dvog poroolrlerr-

orqg 1perd(tror vo yvcopf(ouprero <<n6rsycit'dperpa rrlv u)ps>>v,a
pdOoupe6qlo6q <trioryeivat q raytjrrlrd rou>. To i6ro 0o r<dvo;re

Kotyro dvo 1efu6dvr11r<ulyto pto r<oluplpqrproO. a ovo(qrodoopre
rqv rolUrqrd roug. Irq ytrc6ooorr15rcoOqpcplvrlpgo5 (orr1gq ro-

16rqro eivarpro rroodrqro rrou 6ivElurdvrrlorl oro epc6rqpc<t <n6-
oo ypryyopanveirst (.vaavnxdprvo;) Kotpdvo o' ourd.

Irq ylc6ooo, dp<r-rgrr,lg rpuorrrlq11i6rc ld{q lprloryonoreircr pe
vdqpc rdrrog 6rocpoperrrdH. rol6rqro rn(; <puorr<ro1rgrcvrd 6Xr
p6vo oro epc6rrlpo<n6oo yp{yopq rnrefror dvo ovrrre ipevo;>otrtrd

Kororo epcbrrlpo<<Tporgu, rrou rcartu)1veru;>>
q) To (rr{ioo yp{yopc>.'Evo pqlovdrr <rroni,>os Fro trolp6o rqs o-
6of florqofov 6rov6er110 pirpo oe 10 6eurepdtrenro.Krveirord-
poy€ rrro yp4yopo srrd dva rp5treiro orroio o,sprc d)rlq }orpi6o 6ra-
vrjer144 1t(.rpcot e 16 6eurepdlerrro; kecprS;.roote6rt yro vo rd-
voup€rq oriyrproq 0o Xperooref vo unoloyiroupt ro r6oa p(.rpa
peraxrvtirat ro xs)iva ot xdoe 6turep6Aenro/ v(r 6rorpdooupe6q-
tro6r1rr1perar6rrroq rou roOevdgpe rqv ov,-fororlq Xpovlr<r61rdp-

Ktt0:

Aurd rrou pog 6iver q 6rofpeoq,ro rrqlfrco6qla6q rou ;:drpou
rqg pero'r6firorlsrrpos rov ovriororXo Xp6voliyeror pdrpo rn5 Fd-
o45 ropir4ros rou ovr-rxerpivou.

Movd6crp6rpqoqg rqg p6oqgrol6rqrog 0o eivsr ouverrc6g,ro

nqtriro rrls pros ;rovd6og pqrouq rrpos rrl pfo ;.rovd6clpovrr<r1g
6rdprerog.To ivo rrd6r qvd npc6ro lerrr6, q prioyudp6o svd 6eure-
p6trerrro,eivor povd{i€Sfiou 0c pnoporioop€\/d Xprlotpotrotrlooup.re
Irq cpuorxrlo, ro AreOvig16o14;ro povd6or,, q povd6u pirpqoqg
rrlg pdoqgro16111ro5eivorro ivo prdrpoovri Seurrp6trerrroI.up-
potri(eror pre1 rnls.
p) To npog rq rrof. Eg6oovq peror6nroq (peropolq 0io4g) eivor
pdysOos6rovuoporrrd, ro nrlhfro rrls Ftsrcr6nroqgrrpos ro Xpdvo,
onoretref piye0og 6rcxvuo;rorrrdH. rore60uv,rr1rou neplypdcpero
Tpoq ra, no6 tytve q ptrardtnorl.

Mdoq ralrir4ro. Oeoporipredvo oqpero16 uvrrrei;.r€vo€ euO6-
ypcpprl rpopd. Xprlorprorrorodpoe5 o6orqprorovogopdgdvovdlo-
vo x'Ox fiou vo ouprrirrreI p€ rrlv rpo1d. Oe<opofpeKqt pto ouyK€-
rcprpiv4lpovrrrl orryprl ros qpx4 rov lpdvrov. Yno0droupedrl rr1

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XpovrKllorryp{ t, 11Ofoq rou rrvqrod r1'rovx, Kotrrl lpovrrrl orry;rq
t, q'rovxr.

Opf(oupreorgp6oq rolfrqro ivo 6rovuoporrrd piyeOogHs Fd'
rpo ro nqliro rrlq prerordnrorlsfipos r-ovlpdvo KorFs rqred0uv-
oq rrlv rore60uvoq rqg ;-reror6firorlg.

T6ooro pdrpo doo ror q rored0uvol rou 6rovuoporlrodourori
peyiOougpnopo6v vCIn€prypo<po6vpe rrlv olyepprrrl rrpq rou -rl
orroiq cvocpfperororov ouyrerprprivod{ovo- ror eivor:

up=TXri'fXi-t

Too1ppoAoo {vat ro xaAfuypaEx6apyrc5rrlgA(.fr1cvelocitynou
oqpaivetray6rryra.

H ordtrurq rr;rqrou rroporrdvonqlfrou onoretrriro pdrpor4g
pdonsroldrqrog ev<6ro np6oqpr6rrls yos n,\r1po<pofpyera rqv ro-
re60uvo(rqg.

Av urro0foou;re6rl t,:0 s, tr:3 s, xt=126 cm Kctxz:47 cm,0o
€ivctxr-x,: +21cm, tz -tr: *7s, ot5'rt u,,:B cm/s.To 0errr6 rrp6o4-
;ro o4poiver drr 11xore60uvoqr4g pdoqqroXrlr4rog eivor rrpog rq
Oerrrrlgopd rou d{ovo.

H e{ioororloproporirqg p6oq5ralJrrlrcg ypdqsror Kqrps rrl
Hop94uu=Ax/At.

E u B u y p o t roppno l q r c i v q o r l

To yeyov<iro.'Evog;.roroorrlerrorrlg<p,cr;1i(erorvd ioo Xpovrrd
6roorrlporcxKorqoroypocpi(eror. lldvot orrl qoroypocpio prnopo6-
p€ vo €vrofiioouprero orlpeio rou 1c6pouoro orroio ppieqre q d-
Kpnrns p6rnSrou or lpovrrcdgorryprdqrrou oniXoov 1l4Orou 6eu-
repolfrrrou.
OI ptrp{otrg Oecoporipr6err q dxprl rq5 ptirns rou poroorxlerrorrl
eivoroqprero16ovrrrrfpevo.Arqrrrort6voupe5rr 11rpolrcl rou eivot
;rio euOefo ypopF4 ror 5rr or psrdrofiioe rg,\A,, 41A2A, ,A3,ArAo,-
fiou ovrrororlofv oro ioo lpovrrd 6rcorrlporo 1l4Os - eivor6le5 i-
o€Sp€64 cm.

Av urrotroyiooup€rrs rrprdgrrlg pdonsro1614ro9 ot \nEoptnxd
Xpow<d\norqpara, drra4 (O,r) (2r,4r)(3r,4r),0o rpor<rlrpedr rr oe
r<<r06voo116ourd I pdonroX6rrlro dler rrpq +25,6 m/s,dler 6r1tro-
6q ro f6ropirpo Korrqv i6rorore60uvor1.

H I I E P ]IP A OTHF ' ]K: IN]:I:

H xivqory-roodxpou rqc,ytrrlC rou poroot-

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pan ooyxpt9€i 1Ltr\v rdxdrqrd rou €A€-
gcxvrc\ firperce\qrrl;>, rou tivat y6put
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payp(yopa Qi;a.

I ] t ' I E P I T P AIOHHI K INI]IH:

vq €fvqrqvrfororxo x0/x. T6r€ n rorydrnro rorJovrtK€tpfvou0o eivot
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ntl roxuI rrlro

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xord rrpooiyyro4 prropoti;.revo ro rrer6Xorrpe. flop6lo ourd ot r-
6r6rr1re5ourrlg rqg rivqoqg 0q onorelioouv ro rrp6rurro oro o-
noio 0q poororo6peyrq vo neprypdt,trouFhi:€orxrv(oergrrou 6evei-
vor oprotrdg.

Iro epyoorrlpro rorcrypdq;operqv rivqorl ev6goqpetorof svrt-
rerpivou. To <roroprrdrtrls ovorroplordvercc orq Xoprorarvio.

Or perp{oerg.Eivor povep66rr q rivqor;our-r16ev;rnopei vo Xdpo-
xrqproreico5opotrr1A.v prerprlooupr€rlv orrriorqoqrrou 6rqvder ro

cvrrrefpevooe6volpovr166rdorqpo6ev;rrr,rpodpvreo npopldrgou-
pernv ondorcoq rrou 0o 6rov6oer oe dvodrtrtrXopovrr66rdorqpa.
H oXdoqovotroyiog0dor1q-Xp6vorruou yvcopioopeorqv oprolrlrivrl-

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oq 6€v Ffiop€f vo sqopFoo0ei o' ourqv rqv rrepirrroorl. Errrrrtrfov,
0o pnopodoop€ vo lrodp€ 6116evundpl'eryia rayfrqra.

To ovrrreipevodlel <nolldg rcxXrlr4'regr>rou rupoivovror orrti
notrtl prrpis orrlv qpx4 rqs rivqoqg pd'1prnro F€ydlss oro ritro5

rns.

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i6ro orprpr6grivqo4 otrld pe ;rrrp6rrp<lpdvo qrrordrrcDorlrstov
6ro6olrc6vorryprdrorovrl Xoprororvio.To roroprxdrrlg i6ro5r<ivq-
oqsovdfioprordvovrororq fiopoKdrcocryqporo.

t:12s

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prrcrogrroro6r]rrorer<ivrloqg:

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oxtorl y€ rrlv av9pdtnrurl avriArypq)q rcivr,orp1ropei va Oeutpry)eoi -
yd\4.

Aurd, o4profver6116oc prdOopryro rrlv rolfrqro orrlv eu0ti-
ypoFpnopolrl rivqoq, prropodpevcxro XFrnorporrorrloouopseprcxo-
rroro6(rrore rivqoq oprei vo rr€proprororiproe prxpdlpovrrd 6ro-
orqporo.

Av unoloyiooup€ rrl p{,oryrayirrTra o.n5rr1 orrypq t : 6s piXpr
14 orryprl rq5 end,pevrlsKCIrcrypoq4S- yrrr rdOe yio orrd rr5 6rarpo-
perrrig ovofi opoordoe r9-6rorrrorc6voupredrr ro rrqlir<orq g peror6-
rrrorls rrpos rov cvriororXo yp6vo ntrqord(errrpog ;rio rrpr1.Me dI-
tro l6yro, prnopevf o prrrpoive1r 6oo q peror6nroq doo ror ro cvri-
ororxo Xpovrr66rdor4po oltrd ro rrrllir<orous'rrpoosyyi(erpio rr-
F4. :€ 5oo prrpdrepo Xp6voyivovror or ;rrrpqoerg16oo rrlrlord(ou-
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oro XpovrK6drdorrlpoand t : 6s pflpr rqv <err6;revqX>povrrrl
orryprlq r(vqoqeivaropolrl, rivortroyr16vo 6eXro6pe6rr iler v6q-
Fq vq prldpeyro orryFrdiorcrX6rqror1yrc rcrXfrqro o€ proorryp4
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rroiq reiverq pion raXdrqro 6rov q Xpovrrq6rdpreropirpqoq5rei-
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6rioororleio:
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ro cxvrrrefpeveor<eivoqrprp6grq orrypqrar
p) rrlv rcare6)uvortrl ou FoSnlrlporpopeiyroro (npos ro fiou>rlrl-
yciverro cvrrreipevorord rr1orrypqereivrl.Korro 66oororleio ei-
vorcrrropoirrlroy/ rovo trd;redrr q rcrXdrrlroeivoryvcoor4A. v orror-
o6rlnoreorrdourd ro 66operoptr4Oetriipe6rr q rcrXfrqro dllo€e.

Ie rti0e lpovrxri orryFriunripler ;rio rclirqra

u(nris)

f t(t)

Eo0tiypaltpq xivqory Eu)tiypappq xivqoq
pe ora9eprl raydrqra pe perupaAA6pevr7ray6r qra

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rou nopctrtrqtroypdppAouBI-Oeivorioo prerqv rrpqrqg pero,6-
rrrorls.Avriororlq 6rorr(oroorlpnopefvo yiverKoryro ro eprpo-
66voro 6edrepo6rdypapproolld 4 on66erlq6eveivore6rcolq.

H N E P IIP A OTHH : K IN H IH :

H tcXdrqro m4v npd{r1H raX6rrpo er,6sorlFerqxodovrrrerpivou
unoloyi(eror -xqrd npooiyyroq- qv 6,a0iroupsrrl XpovoEuro-
ypagia rr1qx,ivr1oqsO. o lpercorodpexordvouno6erdprerpoE.vro-
ni(ouperq npooop; FdSoro oqpeio'rrorF.)oSev6rogipeKr ororo q-
pioolgen6pevoror 6rorpodperq perold rou5 ondorqoq p€rqv o-
vrimorXr;lpovrrr16rdprero.

Me rov i6rorpdno urrotroyi(erorrl olyptCIiororXdrrpoov 6lq0d-
roup€ro roroprx6progxivr;o4sp€rq ixu,ltnSoeXoprororvio.

Kctrdrepqnpooiyyrorlrr15raXdrqrq(;rrl Xpovrxrol rryprlt 0q i-
XouFecv ;.rerprloouFrsnv arr6orooq 611o qprie<ovfiou ovrrorot-
loriv orr5 XpovrrCo5rry;rigt-r rqr t*r rsr rq 6rorpiooup€l.lrrrl
lpovrx46rdprerc2r.

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rcrl6rqro5 rjrav ivo orrd rq npcoroErioxolonpoplrlpcro r45
vecprl5rdre Kvqprcrrrrlg'H. rov oe1pr1orp1dvoq loyrrq rns pi-
oqgrcrldrqros rrou6iver6, rr<oq{ipoupe,ro pu0p6perorivqoqq
o€ Frolpovrr4 6rdprero.To np6plqyo rlrov ro (rrcos)0o prno-
pb6oevo 6qpuoupyne€i'dvpoiye0ogrrov6 va neprypdEErro
pu01t6perarcivqorolq€,,lrtdypowxfiorrytr|.Mro l6oq 660r1repd-
vo rqrd ro rilq ro6 17ooorc6vc- qrr6 rov Nedr<ovoKorro
Leibnitzc,ve{dprqrc - F€rrlv enrv6qoqprogevrelcfgxavofprcg
poOqporrrqgiworo5 Trourrl liprenopdycoyo.

H enrrdyuvoorrlrlveu8uypoppn

Krvrlorl

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xlireg ror qurorivrlrcxf.loMoi 6ropd(ovrdsorq oXerrrdrrepro6rxd
drr q rd6eFrlxqv{<rrrdverro 100>oei(r6r:urep6lerrrc,rupterjovror
o1160ouproop6Ir.qv rorvrlyvc6;rre1updreco11errlrdXuvoqoleri(e-
rqr oqnprlpiva prerrlv o6{r1oqrqg rcrldrqrcg. Irq rpuorrrl,q r6ic
rqg enrrdXuvoqfsiporoeprcpovimqrFr€rov fqlrtrciorov'l7o qrc6vo
ornv rrpoorrdOerrdou vq errrvoqoeivl c piyeOogrordtrlrllo vo rK-
gpd(errrgoMcryi5rrlg xrvrlrrrrlgrordororrrl5ev6gcvrrrerpivou.

To yeyovrirq.Me ivo orpopoordnropno6ro6;rveo gori(oupe oe i-
oc lpovrxd 6roorrlporo0,1 rou 6eurepol,irrrouptq prrpqogaipo

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Kcecfsrutrderoe rertrrpivo enine6o. Me ovorXrdro 6rdgpayHo FlCIS
gtoroypoqrxrlq pr11ovr1ognorurrcbvouF€ rryv xivqoq rrlg orpoipog

orrlv nopdrdro Xpovogoroypcgio. To roropr16rqg xivrloqg6ef-
XverroOopd drr 4 xivqoq eivcr eu0riypCIFporllld 6eveivoropol(. Ie
xdOeXpovrrrlorryprl11ocpofpodler 6rogoperrrqroXfrrlro.

Aq perprlooup€rnv rcrX6rqro rqg ocpaiprx5oe 66o 6rocpope'rrri5

orrypri5t, ror t, or orroiegondXouvXpovrrd rrrrd 0,8 s. Oecoporjpe6-
rr 11rpoXrd ouprrfnrer pred{ovo rov onoio fipooovorolf(oupe pe

gopd npo5 ro rdro FdpoSrou rexfupdvoue'nrrri6ou.Ecpopp6(oupre
rq yvoor4 rexvrrq.
H rlp( rrlg rcrX6rqrogr<crdrr1orrypqt, eivcr0 039 m/0.10s: 0,39m/s.
l-pdgoupeu' = 0,39 m/s.
H rtp( tq5 raXrirrlro5 rord rr1orryprlt, eivor0,104m/0.10s= 1,04m/s.
I-pdgoupeu: : 1,04 mls.

Eivargovep6 6rr r<ordrr1lpovrrrl 6rdprcer0o,8 s rroporqprlOqre
percBotrqrrlg roXdrrlros rrls ogoipog rorf 1,04 mls -0,39 m/s :
0.65m/s.fpdgoupeAu : 0,65m/s

Av 0dlouprevo 6qproupyrlooupdevo pdye€fofgiou vo ergpd(e r ro

<ndoo ypnyopCdI yrve,rord pdoo6po, 11otrl<ryr10>c Xperooref vq 6r-
crpdoouperq peropolrl rq5 rcXrirqros F€ rrl XpovrrqErdpxero At
orqv orroioncporqp40qre.

Au : f0f ,65 m/s : 0 . 8 . 1m / s ,

To nqlfro our6 triy^eror;rdoqenrrdluvcrq.EivqrpdyeOo6grqvu-

o;rorr16.Egdoov11xivrlorleivcreu06ypcpylynopotiprvr o ypdgou-
Hsyrorqv olyepprrrrlrprlrqg q r = aAtu

Movd6operprloeogoro Are0vdlgjorrlpo povd6ov0o eivorq
povd6oroX6rrlro5(1mls)rrposrrl povd6o1p6vou(1s),6qlo6r1
(1m/s)/ 1s ror ;rnopofpepiporovo ypdrpoun 1 mfs'.

O oprop<i5l.rc vo orro6oprqooupreit,roq,r'qvdworoenrrdXuv-
on Xpnorporrororir;qrev i6roloyrx4rrdv<oorqv orroio0eprelrc604re
11ivvororoXdrrl'ro.

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H enrrdXuvorel vdgovttrctepfvouo€ llto ouyrexptl.tivlrpl ovtrrl
orryprlrq5 xivrloqgopi(erorog o pu0p6,9perapofuigrq5 ra16rr1.

rog rard 14 mryp{ exeivq.Yno}oyi(erorar6 rrlv rrp4orrlv orrofo

reiverq piorl enrrdxuvordl rov q lpovrrrl 6rdprerorq5 peropolq5
reiver oro pr16dvIu. ppotri(erorps ro yprippoo, op1tr6rqg trf{15

acceleration.

H enrrdluvoq trrqv npri€n.H orro66prqoprdl poroptoSrcorvod-
pragiworoq q onoio eivqrxql cpuorrdprdye{)nopgirret vo neptdXerot t
pronp6roorlyd rtl pirp4orlrq5. l-lc6g0c pnopodoopenporrtxd vo
;rerpqooupreqv rrp( rqg enrtdXuvoqg'E; vrrgtpdnogeivoro e{q5:

Boor(6pevoorro iXvrlprrogeu06ypCIpHrrilvsqoqgunoloyf(oupe
rq pfoq errrrdluvorloeXpovrr66rdorqporo onoio prrropievo Oeor-
pr10feprrp6,ofpgtovo F€rnv dwotqrrou6cooopneporlyouprivoS.
Ie xd0e-urrd aurrl rrlv dwoto- prrp6lpcvrrd6, rdorqpoq trpq rr15
FdorlSerrrrdluvoqgpug6ivern (nrodFsvrtlrprlrq5 entrd1uvor15.

EuBuypoprpivnqorpl €oroB.pn

€nrToxuvorl

To yeyovrirq.'Evo quroorrlpr(6pevoruhv6prx6oc6pcocprlve-
rqr vs rrvqOeoi ' ivq rerfu;rivo errirre6,rrpan€(r. To oqpeioA
rou Krvrlrori6raypdcperrrlv rpoxtd nou'nporfrrret, cxv€vt6oou-
p€rq oq;reia€yypogrlsrou A,,4, A, ...fu ndvo oto Xcptf.

oaa a I a a a

A, Az As Ar Ar Aa Ar Ar

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a-, A, f,, [o As Ae Ar

H eyypagryrutv oqpeiuv A,,A.,A,...A"naprcrdvtr@ oe rpqyPanxi.s 6nord-
oeg. Ta ioa ypovtrcd\norqyara eyypag4sruv orlpeiu.tveivat r : 0.06 s. l1a-

parqpqoart 6n 11xivqoq eivatennayov61ttvr1;

Arqrrrorc6voupderr 6troro oqpeioppiorovrcrrrdvcoo€ Fto€u-
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e(votioeg,6tr<ogout6 ouppoiveot rqv eu06.1popropprqrcxtrr(qvqoq.

H Oeopqrrxroi rdqq. Or perp4oerFs qSo61yo6voro ouprripoo;ro

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6rr xord rqv r<ivqorlq raX5rrlra au{dvera'i olror6lropgo, ovd foo

6qlo6r1lpovrrd 6roorrl;roro rroporqpeiror q i6rao6{qoq. Me dltro
ldyro q ;rior1enrrdxuvorl eivor oroOeprl.

Ie pro eu06ypoppqr(vr1oqoov ourqv, drrou or rrpig rq5 HionS
enrrdXuvoqqe(vori6regyro 6le5 rrq lpovrrd5 6rdprcerep5rerpqoer6g
rous/ rl ;rfoq enrrdXuvoq eivor iorl prerq (orryprroic)errrrdluvoq. H
errrrdluvoq e(vorouverrc6goroOepq.

O opro;rrig. Kd1e eu06ypappq rcivryorp1e ora1epry urndyuvory Aiye-
rat eo06ypapyryopaAd tnnayuvdltevq xivr1or1K. crd rqv rivrlo4 ou-
rr1q peropol4 tqs ralirrlrog er6qtrc6veropr r oro0rp6 puOprdo, e i-
oo 64lo611lpovrr<d6rcorrlporo ouprpoivouvic'esprrogotrds.

H e{iotooq r4g ro;16rrpag. Av eivoruoKoru o rrpd5r4g roXdr4rog

rrg Xpovrrdgorrypdgt ror to,0o roXfel
0r,: 0 : u - uo/t -to 4 u : uo* o (t-to)

Av 6eXrorlpe6rr to : 0 q olfoq 0oyiver u = uo * at. Av 6eXrofpe
ror 6rr uo: Orl oxion ypdrperor:

u=ot

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A{i(ervo noporrlprlooupedr mrlv e{io<loqu : uo* ot q ra16rr1-
To fiou 0o iler mo prfMovro rrvodpevocrvrrrceipeveoivord0poroprc

i) rnS rol6rrlrog u0 rror) eiXerord rqv opXq rolv
lp6vcov
ror ii) rqg noo6rrl, og ct q onoio ercppd(errrl p€rCI-
pol( rrlg roXdr4rog trdycrr:qg enrrdluvoq5.

H r{ioooq rivr;oq5.Ago,ro(qrqooup€r6po rrlv e{i-
o<ooqrivqols, rrlv e(iococr6qqlo5qnou 0o ;.rog6iver
rq Oioqrou rrvqro6oe xil0elpovrrq orryp{.

Oeopod;rerr1crXioqu = uo+ dt odv rdno ouvdp-
rrlorlspe ;rercxptrqrirgr1'rroXrirqro Kdrrov 1p6vo
rcoor 1e6rd(oupr€rl ypocprrqnopdorooq.Ano6er-
rv6eror6'rrro eppoEdrvou OAB|0o poq6iverqv r-
pnrnsF€r0rornorls.
To oX4pa eivor rpand(ro orrdre Lx : 1/z(u0+ u) t.
Alld u : uo * of orr6re Ax : uot I 1/:rct2.
Av ouprgovrloouprevo eivqrXo: 0 on6re Ax : x rrporfrrrer q e-
€iocoon

x=uot*l/zo;l'

11onoio pag 6ivtt r4 O(.oqrou nv4ro6 oe xd)e ptAAovnx4 orry-
F4, ya rr1veu06ypappryoyaAd emrayovriyevq xivrloq.

Ilcparqp{ocrg
1. H peror6rrrorl uott 1/zort2eivor d0porcryo
i) rrlg peror6nroq5 uotrrou 0o rropouokt(e ro rrvodprevoovrrreipe-
vo sv 6evurrrlpXeerrrrdluvoq
ror ii) rqg;.rerordnroqSl/zort'rrou 0q trrrpouoi'o(ero xrvodp€voq-
vrrreipevoldyo rr15enrrdXuvorlg

2. Irrg 66o e{rocbo€rus : u0+ ot Korx,= tsot* 1/zot'ro ofppolo
rrou ovogipovrdr oe 6rovuo;.rorrrdpeyr10rr1rcpro, dvouv rrg ovri-
ororx€Solyepprrig rrpdgcogrrpog rdrrorov <i{ovo x.
Av Oecopqooupdrerr to: 0, Xo: 0 rcr drr () rrpooovqrofuopdvogd{o-
vog eivoriror c6oreuo>0,T6r€:
a) erpd,oovq rore60uvon rns errrrdXuvorlgouprrrirrrer ;reereivq rqg
oplrqg roXdrqroq, 0q efvoro>0.

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o

I'curq rrlv rr€pfrrroonn roxfTrlrq ouvElcis0o qu€dverorKsl
orfs €qfocOo€urg: uo+ qt Kqrx : uotI 1/zst6trcra odppolo 0a o-

vrlororxodvoeeenKi,qroodrnr€s.
p) erpdoovrl Korrdeuvorlrrls €TTrrdxuvonegirrorqvrie€rl 0116rK€r'-
vrl rrls opxrrlg rcrxdrrlrds(u">0)

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0o eivqrq<0 (orr6re o : -lql) rar pnoporlF€vo ypdgouprerr5 66o
e{roc6oergpe rq poprp{:
u : uo- lolt ror X : uot - 1/zlalt'.
I' aurq rqv nepinrororl -potrovdrr ex6r1l6v€rorpro ouvepl5 eldr-
Toorl rrls roldrqrog, ro ovrrxefpevo6qlo6r1xrveiror 6tro ror rrro
CIpyd- q rcivqoq,orrl yl<6ooq trls guorrq5, Oecopeiroxr ivrloryye
ora)ep1 enrrdyuvoq. I6;.rrpovc F€ rrl guorK(, 11rrcpouoio errrrd-
XUvolSos pro euOriypoppqrivrloq ;rnopef vo 'nporotrioer eire s6€rl-
oq eire etrdrrcooqrq5 raX6rqra5.

3. Av q opXrrrl rolirrlro eivor ioq pe prr16d'1r,1e{iocrrorlrivqoqg
rroipverrn popqn

x = |af.

i) Av eivoryvcoorddrr prroriv4o4eivoropotrd,:rrrrcrXuv6perv6rle 4
e{iocoorol urrl pd56iver q 0ioq (oMd Korrq ;reror6rrroqr)ou rrvrl-
ro6 oe rdOepretrlovrrrorlrryprl.floporqpof;lr proovotroyioovd;re-
oo orrs rrpi5 rrlg peror6rrrorlsKqroro rerpdyrovorou Xpdvou.
ii) Avriorpogo,yrd vo crro6ei{oupe6rr prroer'06ypoppr1iv4orl1<o-
pigopp14 ro1614ro eivorotrrotredrrrroluv6pevral prefvo 6ei{oupe
drr or ;rerororrioergrou xrvqrodeivqrqvdloyss rov rerpoyr6vcov
rarv 1p6v<ov.
Aurd irove ror o Fotrrlqiogdrov epeuvorjorerlv ele60epqnrc6o4.

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