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NoT,ont rN DtlL VtruENtlaN?osrnoN ,{?Locirl ,+AJ> s?Ee-Dhu olJrrlt eo,i['n\ , r, is 't1- ,Li,Jr.* /orol'o^ d/|k ol,Zcf vv;fh m7r"f lk ,tvlla E/ +k s,trrfw'-A w/er+,c<- to.(rr) " xvi4-r*-oDtSTfotcL "tg . DtSlLlcEt4+AtT[x1'm/.: ?;lo,^r- : Yk lunSLf o7 fu nfth Sot"Y /* l'*'f * '\Lu:>ifheu*f: AX-x1 i ,iarcy"r"l*6 /"t^h A *ol(r-,/ 4 rL J/,.1h"_E,c9"/,heor o4/r^..2.'1zl,,lxI-tttbLoctT/ dc. rpeaD,/ .av"-;:-Wtu ALl /L>/"rcrnuef o(* " 'frl..-. ,ulxru.fr t!af.Vy,avq i 11yo1o.q Ve/0,,h :$ ----------+-,;, Vu. *i//^.e,,{4t'awtte/ + a(. rtrcrr,,--rt'f ry hv .TI,ITIANT*I'IEEIS VELOCIT/ NP S?ETAs- = -1,rL 6, - /x'A a*'+o 5i - V, 111fa.nLr*out */."|++'lk tab,*l"l,cta tpt/ ,i ftc ,*t*i/-"6 a/whalg (eatia. lo lt. 'fk oly'/ot-.,J. ,, z-il :r/r)6o(oloo4o,{l<:- Ato _-___t/At+o =+-tt7Z tt<t/*141.*a1yy,av| ,- (o[.-t, V^3hccYuei2fg 6n1(tLot'r^ m/",r r^tLl ,elr^/-1,-,rcctn, z.s , rr;( le E"rn I,a spea\( *t * ^f'rn */r.r rt*tf,-,l orvc/ern/l'ura ,-A^aa.elern"li*.-i, e;^/ 'fu trr" ) .4r,*b7^lliellv , il ioarlo*'15'*''^ 'Nr'le tl"^t &hcef^ctrn f x-- (* -v't+1 -trAV*- ./,t^ AV* - ,tV*aa.-,Atro at AtI^*l' S.r Ax a4+. k *n'//'^ 4J 4,3. accehoJ'*--/. .drt t ,rrfoufu,$vf t4@Lc'r|,'4ru,r-'-.*{*aVa2(txq s.6 of,h' 4!^+/v^4t: A,4,,.r !r/*)ff n wrV l^^7tL/ tl^t 2"^, r'/ral,tlt rLti"^rr^/U ^,r"1 ,t^/.1",a/ .olo^/rtfL" t^lw<af/-1 y' r./o-/n, ttt t(a{1rc' lou k {ff a- fs)tltstdzt4*\c- e4{r^Ttd^if W)EB4veD ?fi4t4. cftLcdLds('lra ,r buw, , YL,J it hD/ fka^L).x+ KontNlcceceprtrtr cnt )rt' drrtut tr rq[l -U" =o^t^t /r//"wt i€0dftno^rj/roxsTftatr',b,/Wc ttnf 7+.,,r^ ^^, & , rtutdlt\-a! (r//ort ;/vr, orltT1ntA, y't- ee{"W\" iofQ ,,'o/oJ ,'r'1 tJ'^u* = \^'l+Vri oW r,x^t["^t *rr/*o/'t"^ (a, //$) ,fuvtr1 +.f n^ ' av )^*VxiloVtr-Vr; = 4x((-'> ' o'f +AJ"w v< utL {^r*i , a.nol * *nurJf. ,'lAx =uxlt i ir" ' \v,rthw,apr I wu,tr trr ;t n"f : ,r-rLuf ( vru ,tt: ,Vr; *ort).sfUrcfirc rnd -"'{" t /u,, *ort) ),t .o*\+ lr :J,+0v .\lt-;.. Jo*d,t;:vxit*jd'*s a*ruft ,,r't- A*w J/o,tnt-/+ fQ gfd'rn ad '*'ol''n'/n lk poti/r'*n *"1 t1' wLo'f7 '/ ^ y'{'>(* a!o 7nvtclr6. ,/ lW t4 we -at'l''o'tt"rz^yo +rlyot r lqrt'Vxo + a.x {+A*E-4^/AT(rt$J oe Xo-trrn/ - ror{flrtnii AcceultlWEA{lfidnv! ,F Unl1vtl - aa13ffif ttEcoctrYh +q- ,q V cq^tfa^"f nl"o'/2- (o*t o) , .^,. oL/o,tn :X' Xo * V^.1V* =V"o z ct\iaattwUr/fvrL I.q"no/r'oJ ,h fk roft- * ,on1/zt-f oor/or.,/4x-- Y. * / (v,. +v,)tV^t = ,/*.t * 2"., (x^Y,)Tlnefn* * *[ ub( 1r',*5)>.,,f ^ne/c&-l"nn. ui" t,"-<T.*, oo:l ft< r,rexf "rf*r,r^h obhq tL{a..1., _ Vr;+Vr1-1(ne loola) 'Lu'nt' 'j:-::tJ6IF\EZLV f*LuN6 ^E|ECVAs ,* vqll ut n^ tL*ytr r /Netbur /--r) , ,Q d,/vr *u,.o:Le, ^-. oLrvc/ lo'o"ebr^tL ,rt2-u../ 7\ "//+o /*.?b i+- L f =rvu. , l^^NeurfY-'. L I .h+14 aft bX ,Lrtr/t /^/(,,,>"/f"t tvr/^z< ,/ lW Eutr,,;{;r'/r+ x"J*'fit'r^"t /i. vh^f '+**l"^*ha'vt ourfrno f'^ * 71L ,b1>r/ . Jl ,\ "^ib( ,-*rar,L{\<4$ tr fto*,''ly *"f*oil"m ,'it o/tt'n t ,*/"''/ "Ja 'fu"L'.'S*a6'"*Jl o.r'{ ,rb r*b. ,} ?,st ftz't1'. e4- ,f'n, I o^,it"t- /,.-,t an'u4"'r.'l'v. kco^,.ya if 7o,hti lr'. .Tr"-',\ onrl*/{nn = t=t-(l YsL7n, *a d^tr^,a^$'r^^ ,lnrLy /Jt'-t- elFhIUIO/&=-i"+vtr"t .tal,Vt,Vt. - fttPIruoBW-i(E _ r(oTrd^J rN DNL DrFEatSrodA rrutl to\'ers ]0.0 nr irr 8.i0 r rrll;::: ;;l lil ;:i:l ;i ;;r ;'::'l:,'';il'il ;i,;tl::f^,4" Z-ton{lY;K=oKP(y! :{oprV.?7^)L)orrr/*oA'n^4 / r-"y't ., rL a-D /r r*t/^.-f or*/onJ.n^ iI") o{rc y,{o rifu-"Jf-,#)-/+ry-ffifu,fti:,tlll!^ y ""{r= {ou 4Xt = oV* = t.to f92f tou\ - z-tft-6ss(.s sVx -Vr"t2.9ryl - t.{ta7t\I+r)M =6sr,Ll;*( yeu(Vr-V*0. a1t )t.s rP.aO l-nrilr challengcs her friend I)itvid to catch a dollar billas loll<xrs. She holds lhc bill \erricalh, as shol,n iu Figur.cP2.,10, with rhe cenrcloi the bill benveen f)avid,s indexlingcl and thurDb. David must catch the bil afier Ernih.rrlc:r\c. ir \\irlr,,lr rnorirrq lri. lrarrl dorrrrrvarrl. lt Li. reac_tion time is 0.2 s, will ire srrcceerli Explain xrrrr reasoning.tp ro.2y .t=i"-(+*Jo.rt''! -u/o ^tr'-rIz('.tI)T'l*xl,'J.;i,n."lt'-d l,^J-'$ 1rtf' ilo*'l,,.o.olr'rn \tnu)e u."rol ra 7,,,J^l> kwo- 't -1" -- Nt\'- !at' 'h, No , \.e /Ur^*) uro-f oLL. 1tz- (til .* Y"u c^-- fry #s fi ,,.-r*s* )u,^v E^oi'\ $Un . Una r,rl- B-J rc/o^t t\< er7*^L*'-t -/ /t^l to 'ftl-,':f1,q *flto- 1et,la-"n fk $;( 7^//r rh l'Lftc't^/t= -itttl.rrasL: -0,?tA =-/oCc1.P3A A strrdt'nt throts a stt ol kcvs verticallv rrpwarrl to hcr'sorori[ sistt:r, rvho is in a window.1.00 nr abolc. Thc kclsarc calrght 1.50 s latcr bl thc sister's outstrr,-tclrr:d hand.. (a) \{'ith rLhat initial vel<rin u,t:rc the kcvs throwni(b) lVhat was thc velocitv of the kcts.just befor-e they rverc(aught?t{w\ - .x-tx-r t=*tl.t sa)| . rLt="6, 4Y,'t 'iar{v"+ - )Z+]t Jr1-zt'.---tr{ --(= lolslgqt ^t'n J., vLof nn fh u4)(cl'o"tn l',,VLt IM *Tr-f1.ttut I,Ltfi f\ ,z;7'-,".t'L'+*t tto tta,xJ*-tt' Lo7L1 ,lA w[",Q tt rav-t\/:o:U, -ltn -b71-u^ , w<- ,.*Lt/rJ..'rL 'fh 'f"-r.rr'uJ.,/* YL hea/kr tt.rIt9=T^fr= p t a*{ =,0 ? - 1. / t z - t.t t = :n;;r"1,L-?\- XxXr={*l? u.{-it'tl: roe .r'U-Y"&)'=aAul(nr()ti\'('crrgilt.els rcltr to lhc timc ratc ()i chan{e olitccclclati()n as thc 'jerk. Assrrme arr object nror.es in olcdimclrsion srrch thlrt its jcr'k./ is constilot. (lr) Dctcrolir)cexprcssiolrs Ior its accelcration ./,(t), \rl()cit.! r,(/), arrrlposltion j((1), givcn that its inilial acccleralioD. r.clocityand po.ili,rl drr ,/ ,...rrrd r. respr, rircl,, rhr \horr rlr:rra.' = 1,,' + ?/(r. -,,.,).?.{^)7= & , rr..rJr*//o , tlt --) I/^ = J pt -+ q, Jl +e,.!r ^ = 4lt+ V_-(u(r="l{r*,o,) ltJlu '!auttJuk =)(+c,2c\.)v/(q,t ?4Xn Vrl)t t * q.f *'r") lttzink rr".-rf*f t fi"tn ^J, V ,h.*y / or"e/o-</*r-(a(.") =q.It+e{"re i"\ klvr"*,ta o/+) , v/+)$) Jht",/ 4"*t q? .41Zr ta" )o(+) = 1t +e.+ lv' ",/+)l{ -)j l+' +o.ot +)=,/o + Cz=v(t\,!7"t(' + ao{ +Vo-t V:tl*rc/"'thx'/ t|t ,Kft,") = v,x(t) = ! t( r ! a,t' +'r,( n x,) Ct'Xo Yt c.,"t/,rt-PS7L(z +aJ r214.t+J2+^")t i/ J't'+zr(J{ I +q.. (tt+'- 4oz I2= AoLa'b) 4z2 Jc,t)'-o.t)-u. =(Jt'*n.*)+ /,, :> Vr4TrotnT{Vrt's ( v-v" )4l =4oz


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UCF PHY 2048 - Notes

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