, g I0c apm67.;'U h@7F[ 'OwA boat is pulled in toward a dock. The rate at which the rope is pulled, v, is constant. The dock is at height h above the deck of the boat. For any given distance d of the boat from the dock, what is the speed of the boat?at? {P |$40{PCathy Gor[D h@7F  Cathy Gorini Bill Finzer 3/95@{P@(Z@( @& $ h@7F Velocity versus positionon0{P|(x| |# h@7FG|0i4 @C( SIXN h@7FB_|CB S+X0 h@7FAB4B RX' h@7FjB4BCB?,4 h@7F Show Problem@~mX8mx@ms;8mW -@0 h@7F Hide Problem@~mX8mx SX?z h@7F greatest reachr@~&|4CB SgXl>V? h@7F  dock heightr@~&|4BB S#X(% h@7F origin|r@~&|4BB ShXm?Q h@7F/ dock heightr@~&|4BHB RfX  h@7Fk iBBCB? R"Xl  h@7FnBBBB? SX>, h@7F Drag|r@~&|4 CcB 'ns h@7FlksBills Calendar CooserControl PanelsDesk AsPC(BC(?RgX  h@7FavBHBCB? f'lns h@7FaisBills Calendar CooserControl PanelsDesk AsBBLBB? !?>4 h@7F H|&_| AC( SAXF?-U h@7F  locus driverr@~&|4 CBB JgOl>+ h@7F BJBB '!ns h@7FmksBills Calendar CooserControl PanelsDesk AsA@AC@?!  h@7Fo@C(AC(?|0 h@7FH|&_| C\C(  dbAct h@7Fc1nu ItemsApplicationsAutomated TasksBills CalendarAC(B?5%F?5%F:?@ h@7FH|&_| CC(  JO|+ h@7FBJCB  _h h@7Fc30` AC(C>?5%F?5%F!> h@7F BLAC ! h@7F I hp^d`ACl = h@7Fc8 ^,0AC(C?5%F?5%FIfO  h@7FakCBBB?'ns h@7FamsBills Calendar CooserControl PanelsDesk AsC>CC?'!  h@7FpAC(ACl?'ns h@7FqksBills Calendar CooserControl PanelsDesk AsClC>Cl?0F h@7FPull the boat!r@~&|4HH! !#@@! ? h@7F v|r@~&|4 AC" h@7F KCPyCl $IN!@ h@7F AV|K AC #16 h@7F BU|`Jh CrCl $ A` h@7F BM|#l`\ AC &!  h@7Fan   anACAC?&  h@7Fr LAC(CPyCl?'Afff h@7F/KC^ Cl ''1 h@7F/BZKCPyC( '& h@7F/KCPyC}b 'HN'ns h@7FxksBills Calendar CooserControl PanelsDesk AsBCC?#(K|0h@7F  i An|t|40(N!  h@7Fh|r@~&|4AC(AC?aa (u h@7Fm13 F m{!:A}HKI = .;' ;'LoPL@LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05Ub Angle(HKI) = B@89n V H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h :1+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³('vj h@7Fm9 F m{!:A}HBUI = ;' ;'LoPL@LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05UbAngle(HBUI) = B@89n V H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h :1+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³()x h@7Fc6ACA`?5%F?5%F&*w h@7Fm5Microsoft Word My GropsNuCalc - FPU QuickMail F m {S:BLv} = ;' ;'LoPL@LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05UbLength(Segment BLv) = 9n V H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h :1+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³(++8Act h@7Fm10u ItemsApplicationsAutomated TasksBills Calendar F m {S:BLv} = ;' ;'LoPL@LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05UbLength(Segment BLv) = 9n V H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h :1+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³(+ h@7Fc4CPyClAff`?5%F?5%F'-h@7F .'ns h@7FtksBills Calendar CooserControl PanelsDesk AsB?C}bC|C}b?$/ h@7F BNAC +5 h@7F LCCCf߀ ,8'ns h@7FuksBills Calendar CooserControl PanelsDesk AsC—CCu?: ! h@7FAX|'` AC}b :#'ns h@7FyksBills Calendar CooserControl PanelsDesk As@@@C@?:r~sG h@7Fm12  F{(:m {S:BLv}}{!:*}2 = ;'LoPL@LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05Ub Pull boat at t BLv) = 9n V H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h  ft/sec+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³(7FW h@7Fm15 F"{D:m {S:BLv}}{cos{(:m{!:A}HKI}} = L@LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05Ub&Length(Segment BLv)/cos[Angle(HKI)] = H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h  ft/sec+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³(773UpEX h@7Fm11rssss uuu u     F#{D:m {S:BLv}}{cos{(:m{!:A}HBUI}} = @LoP((8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05Ub'Length(Segment BLv)/cos[Angle(HBUI)] = H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h  ft/sec+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³(774}?  h@7FBNAB ;&  h@7FBNAC  ;&6'ns h@7FsksBills Calendar CooserControl PanelsDesk AsCeC C!C*?,< h@7FAU|#LP[ CC}b := h@7FAY@C}b :?:R, h@7Fm16̙ff̙33̙ffffffffffff33ff  F,{(:{D:m {S:BLv}}{cos{(:m{!:A}HKI}}}{!:*}2 = (8 8@F 8,- a sav9>F08./ H 8U@ sav F89l nt b a/ / aF0899>JZ05UbSpeed of boat is v)/cos[Angle(HBUI)] = H@hV O2O ablH sav;h 0n@9L9LB@ wilt b9\ wil9L9NL9LH savm, B@ ablH;h 9199L sav;h  ft/sec+L(` sav/pB@L@0 savL wil sav::0;h@+/p:@:@:`JK8::(:/d:8;=jP P ³(A? h@7F+KCPyCTu 'A16? h@7F+BU|`Jh CrCUY# )B|  h@7FaoACAB?C&  h@7FapAC AC?&D''H h@7FssBills Calendar CooserControl PanelsDesk AsCWC-CC}?E'<B h@7F/AU|#LP[ DC}b Fx%('h@7F?BU|`Jh J( )4BJ' h@7FsBills Calendar CooserControl PanelsDesk AsCJ(CaC(C?M'< h@7FALC5Ca M,'ns h@7FwksBills Calendar CooserControl PanelsDesk AsDB DC1?:N-9@  h@7FHide Velocity Info@~&|4  LK+&O@IH9,  h@7FShow Velocity Info@~&|4  LK+&O@IH' h@7FsBills Calendar CooserControl PanelsDesk AsCNW' h@7FsBills Calendar CooserControl PanelsDesk AsC!BZByRCZBY‡zCh?q'<.3 h@7FWCC׃ q,!' h@7Fslendar CooserControl PanelsDesk AsS"BEf¢dPCcT?s'< % h@7FVPC s,' h@7Fsendar CooserControl PanelsDesk As7B0½MC^?u'<49 h@7FU<ȤC  u,' h@7Fsndar CooserControl PanelsDesk As oHBb7CYT?w'<&+ h@7FTrCv w,' h@7Fsdar CooserControl PanelsDesk AsVBB!NCTq?y'<PU h@7FS”7CU y,' h@7Fsar CooserControl PanelsDesk As† Ah|COQT?{'<BG h@7FR¯!PBj {,' h@7Fsr CooserControl PanelsDesk As AhzQCJ0?}'<49 h@7FQ B) },'  h@7Fs CooserControl PanelsDesk As»LAh!&CET?'<&+ h@7FPB ,' h@7Fs CooserControl PanelsDesk AsAWb/cC??'<" h@7FOOBק ,'o h@7Fs CooserControl PanelsDesk AsAZ