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" }{TEXT 256 7 "Donn\351es" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 18 " g = 9.81 " }{XPPEDIT 18 0 "m" "I\"mG6\"" }{TEXT -1 1 "/" }{XPPEDIT 18 0 "s^2" "*$%\"sG\"\"# " }{TEXT -1 10 ", m = 110 " }{XPPEDIT 18 0 "kg" "I#kgG6\"" }{TEXT -1 12 ", r = 0.105 " }{XPPEDIT 18 0 "m" "I\"mG6\"" }{TEXT -1 2 ", " } {XPPEDIT 18 0 "rho" "I$rhoG6\"" }{TEXT -1 11 "0 = 1.2253 " }{XPPEDIT 18 0 "kg" "I#kgG6\"" }{TEXT -1 1 "/" }{XPPEDIT 18 0 "m^3" "*$%\"mG\"\" $" }{TEXT -1 12 ", C = 0.178," }}{PARA 0 "" 0 "" {TEXT -1 26 " \+ k1 = 1.39313E-9 /" }{XPPEDIT 18 0 "m^2" "*$%\"mG\"\"#" }{TEXT -1 19 " , k2 = 9.45557E-5 /" }{XPPEDIT 18 0 "m" "I\"mG6\"" }}{PARA 4 "" 0 "" {TEXT -1 3 "2. " }{TEXT 257 20 "Conditions initiales" }{TEXT -1 2 " : " }}{PARA 0 "" 0 "" {TEXT -1 38 " x0 = 0, y0 = 0, vx0 = 1017.7 " }{XPPEDIT 18 0 "m" "I\"mG6\"" }{TEXT -1 1 "/" }{XPPEDIT 18 0 "s" "I \"sG6\"" }{TEXT -1 15 ", vy0 = 1234.6 " }{XPPEDIT 18 0 "m" "I\"mG6\"" }{TEXT -1 1 "/" }{XPPEDIT 18 0 "s" "I\"sG6\"" }{TEXT -1 12 " (v0 = 160 0 " }{XPPEDIT 18 0 "m" "I\"mG6\"" }{TEXT -1 1 "/" }{XPPEDIT 18 0 "s" " I\"sG6\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "alpha" "I&alphaG6\"" } {TEXT -1 10 " = 50.5 \260)" }}{PARA 4 "" 0 "" {TEXT -1 3 "3. " }{TEXT 258 5 "Dur\351e" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 9 " \+ " }{XPPEDIT 18 0 "Delta" "I&DeltaG6\"" }{TEXT -1 8 "t = 181 " } {XPPEDIT 18 0 "s" "I\"sG6\"" }}{PARA 4 "" 0 "" {TEXT -1 3 "4. " } {TEXT 259 25 "Equations diff\351rentielles" }{TEXT -1 2 " :" }}{PARA 260 "" 0 "" {TEXT -1 23 "dx/dt = vx, dy/dt = vy," }}{PARA 259 "" 0 "" {TEXT -1 15 "dvx/dt = - 1/2 " }{XPPEDIT 18 0 "rho" "I$rhoG6\"" }{TEXT -1 22 "0 exp(-k1 y^2-k2 y) C " }{XPPEDIT 18 0 "Pi" "I#PiG%*protectedG " }{TEXT -1 32 " r^2 v vx/m, dvy/dt = - g - 1/2 " }{XPPEDIT 18 0 "rho " "I$rhoG6\"" }{TEXT -1 22 "0 exp(-k1 y^2-k2 y) C " }{XPPEDIT 18 0 "Pi " "I#PiG%*protectedG" }{TEXT -1 11 " r^2 v vy/m" }}{PARA 4 "" 0 "" {TEXT -1 3 "5. 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" }{TEXT 263 37 "Quelques valeurs de x, de vx et de a x" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7/7&%&t~(s)G%&x~(m)G%)vx~(m/s)G%*ax~(m/s2)G 7&%!GF-F-F-7&\"\"!F/$\"&x,\"!\"\"$!&9f&!\"$7&$\"&+\"=F5$\"&lX\"F/$\"&q ;(!\"#$!&Mr$!\"%7&$\"&+i$F5$\"&$>FF/$\"&_(oF=$!&$\\b!\"&7&$\"&+V&F5$\" &\"eRF/$\"&\\#oF=$!&eD\"FJ7&$\"&+C(F5$\"&>>&F/$\"&3\"oF=$!&m(\\!\"'7&$ \"&+0*F5$\"&SU'F/$\"&L!oF=$!&g\"RFgn7&$\"&g3\"F=$\"&Zl(F/$\"&Zz'F=$!&S K'Fgn7&$\"&qE\"F=$\"&I)))F/$\"&Xx'F=$!&4%>FJ7&$\"&![9F=$\"&/,\"\"\"\"$ \"&7p'F=$!&?P*FJ7&$\"&!H;F=$\"&&G6Fhp$\"&!\\iF=$!&D!\\F@7&$\"$\"=F/$\" &\"H7Fhp$\"&$4YF=$!&:F\"F5" }}{PARA 261 "" 0 "" {TEXT -1 0 "" }}{PARA 269 "" 0 "" {TEXT -1 17 "port\351e : 122900 m" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 3 "7. " }{TEXT 262 37 "Quelques val eurs de y, de vy et de ay" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'MATRIXG6#7/7&%&t~(s)G%&y~(m)G%) vy~(m/s)G%*ay~(m/s2)G7&%!GF-F-F-7&\"\"!F/$\"&YB\"!\"\"$!&Sw(!\"$7&$\"& +\"=F5$\"&=i\"F/$\"&%)4(!\"#$!&)[8F57&$\"&+i$F5$\"&Rr#F/$\"&&f]F=$!&=- \"F57&$\"&+V&F5$\"&_Y$F/$\"&=D$F=$!&)p)*!\"%7&$\"&+C(F5$\"&D*QF/$\"&5Z \"F=$!&2#)*FR7&$\"&+0*F5$\"&z*RF/$!&H0$F5$!)*FR7&$\"&g3\"F=$\"&@y$F /$!&$z?F=$!&1z*FR7&$\"&qE\"F=$\"&cC$F/$!&c%QF=$!&)*p*FR7&$\"&![9F=$\"& FR#F/$!&-c&F=$!&7.*FR7&$\"&!H;F=$\"&ND\"F/$!&I*oF=$!&CS%FR7&$\"$\"=F/$ !&!46F5$!&$plF=$\"%6$)F5" }}{PARA 274 "" 1 "" {TEXT -1 0 "" }}{PARA 270 "" 0 "" {TEXT -1 16 "fl\350che : 40026 m" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 4 "" 0 "" {TEXT -1 3 "8. " }{TEXT 264 64 "Variation au cours du temps de la valeur de la vitesse de l'obus" }{TEXT -1 2 " :" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 268 "" 0 "" {INLPLOT "6%-%'CURVE SG6$7aq7$\"\"!$\"%+;F(7$$\"1++++++5=!#:$\"1+++B@fb9!#77$$\"1++++++?OF. $\"1+++;$y=N\"F17$$\"1++++++IaF.$\"1+++qsmt7F17$$\"1++++++SsF.$\"1+++` #[C@\"F17$$\"1,+++++]!*F.$\"1+++@-2j6F17$$\"1++++++'3\"!#9$\"1+++f#HA7 \"F17$$\"1++++++n7FI$\"1+++L\"4x3\"F17$$\"1++++++[9FI$\"1+++;+(z0\"F17 $$\"1++++++H;FI$\"1+++H=\">.\"F17$$F-FI$\"1+++f5t35F17$$\"1++++++\"*>F I$\"1+++USIy)*!#87$$\"1++++++s@FI$\"1+++amf(o*F^o7$$\"1++++++`BFI$\"1+ ++P%e<^*F^o7$$\"1++++++MDFI$\"1+++#ya\"[$*F^o7$$\"1++++++:FFI$\"1+++u+ v%>*F^o7$$\"1++++++'*GFI$\"1+++^a'*\\!*F^o7$$\"1++++++xIFI$\"1+++`Rd7* )F^o7$$\"1++++++eKFI$\"1*****p5A;y)F^o7$$\"1++++++RMFI$\"1+++70Pc')F^o 7$$F4FI$\"1+++j$[i`)F^o7$$\"1++++++,QFI$\"1+++:$=3U)F^o7$$\"1++++++#)R FI$\"1+++V\"\\(4$)F^o7$$\"1++++++jTFI$\"1+++/Vz-#)F^o7$$\"1++++++WVFI$ \"1+++h]x*4)F^o7$$\"1++++++DXFI$\"1+++$3n0+)F^o7$$\"1++++++1ZFI$\"1+++ 'y*30zF^o7$$\"1++++++()[FI$\"1+++uxH8yF^o7$$\"1++++++o]FI$\"1+++\\RZ%3qF^o7$$\" 1,+++++SsFI$\"1+++a)ey'pF^o7$$\"1***********4U(FI$\"1+++mJlJpF^o7$$\"1 ++++++-wFI$\"1+++&)o))**oF^o7$$\"1++++++$y(FI$\"1+++g3hsoF^o7$$\"1++++ ++kzFI$\"1+++^#p)\\oF^o7$$\"1++++++X\")FI$\"1,++E))pJoF^o7$$\"1,+++++E $)FI$\"1+++m$G\"=oF^o7$$\"1***********p])FI$\"1+++e\"y\"4oF^o7$$\"1+++ +++)o)FI$\"1+++!ff[!oF^o7$$\"1++++++p))FI$\"1+++_[<0oF^o7$$\"1++++++]! *FI$\"1+++Fn65oF^o7$$\"1++++++J#*FI$\"1+++)[o'>oF^o7$$\"1++++++7%*FI$ \"1+++\")Q!Q$oF^o7$$\"1,+++++$f*FI$\"1+++/s[_oF^o7$$\"1***********Rx*F I$\"1+++ZMnvoF^o7$$\"1++++++b**FI$\"1,++5&3L!pF^o7$$\"1+++++g85F^o$\"1 +++j%H`$pF^o7$$\"1+++++qJ5F^o$\"1+++\\[mrpF^o7$$\"1+++++!)\\5F^o$\"1++ +')\\B7qF^o7$$\"1+++++!z1\"F^o$\"1+++yA&p0(F^o7$$FHF^o$\"1+++)[@d5(F^o 7$$\"1+++++5/6F^o$\"1+++e*R%erF^o7$$\"1+++++?A6F^o$\"1+++Tx*\\@(F^o7$$ \"1+++++IS6F^o$\"1+++CwFvsF^o7$$\"1+++++Se6F^o$\"1+++#*\\:RtF^o7$$\"1+ ++++]w6F^o$\"1++++v\\1uF^o7$$\"1+++++g%>\"F^o$\"1+++4X;xuF^o7$$\"1++++ +q77F^o$\"1+++=i+^vF^o7$$\"1+++++!3B\"F^o$\"1+++\\C'yi(F^o7$$\"1+++++! *[7F^o$\"1+++z4c2xF^o7$$FNF^o$\"1+++d`\"**y(F^o7$$\"1+++++5&G\"F^o$\"1 +++!3AZ(yF^o7$$\"1+++++?.8F^o$\"1+++4qvhzF^o7$$\"1+++++I@8F^o$\"1+++u3 x]!)F^o7$$\"1+++++SR8F^o$\"1+++)p$[T\")F^o7$$\"1+++++]d8F^o$\"1+++\\zd L#)F^o7$$\"1+++++gv8F^o$\"1+++)>!pE$)F^o7$$\"1+++++q$R\"F^o$\"1,++'3,/ U)F^o7$$\"1+++++!=T\"F^o$\"1+++ULA9&)F^o7$$\"1+++++!*H9F^o$\"1+++/xe2' )F^o7$$FSF^o$\"1+++0m#)*p)F^o7$$\"1+++++5m9F^o$\"1+++Sc:!z)F^o7$$\"1++ +++?%[\"F^o$\"1+++aIlx))F^o7$$\"1+++++I-:F^o$\"1+++OyBh*)F^o7$$\"1++++ +S?:F^o$\"1+++dukR!*F^o7$$\"1+++++]Q:F^o$\"1*****>,<96*F^o7$$\"1+++++g c:F^o$\"1+++qB'[<*F^o7$$\"1+++++qu:F^o$\"1+++w42G#*F^o7$$\"1+++++!Gf\" F^o$\"1+++#30*o#*F^o7$$\"1+++++!4h\"F^o$\"1+++'>B]H*F^o7$$FXF^o$\"1+++ Sh#RI*F^o7$$\"1+++++5Z;F^o$\"1+++*yLIH*F^o7$$\"1+++++?l;F^o$\"1+++Bozf #*F^o7$$\"1+++++I$o\"F^o$\"1+++CT%=?*F^o7$$\"1+++++S,p)F^o7$$\"1+++++!Qx\"F^o$\"1+++&G7R\\)F^o 7$$\"1+++++!>z\"F^o$\"1+++@4aq#)F^o7$$\"$\"=F($\"1+++\"oC]-)F^o-%'COLO URG6&%$RGBGF(F($\"*++++\"!\")-%+AXESLABELSG6$%\"tG%%v(t)G-%&TITLEG6#Fa [m" 2 420 278 278 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 327 117 0 0 0 0 0 0 }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 3 "9. " }{TEXT 261 61 "Diminution au cours du temps de l'\351 nergie m\351canique de l'obus" }{TEXT -1 2 " :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 263 "" 0 "" {INLPLOT "6&-%'CURVESG6$7aq7$\"\"!$ \"1+++,++39!\"(7$$\"1++++++5=!#:$\"1+++\">.#)=\"F+7$$\"1++++++?OF/$\"1 +++JN(*[5F+7$$\"1++++++IaF/$\"1,++/@ja&*!\")7$$\"1++++++SsF/$\"1+++)GZ ,!*)F<7$$\"1,+++++]!*F/$\"1,++E\"R!G%)F<7$$\"1++++++'3\"!#9$\"1+++Zpmz !)F<7$$\"1++++++n7FJ$\"1,++a[1=yF<7$$\"1++++++[9FJ$\"1+++i)**)=wF<7$$ \"1++++++H;FJ$\"1+++LueluF<7$$F.FJ$\"1+++F.]YtF<7$$\"1++++++\"*>FJ$\"1 ,++$p'H`sF<7$$\"1++++++s@FJ$\"1,++Vx()zrF<7$$\"1++++++`BFJ$\"1,++^\\r@ rF<7$$\"1++++++MDFJ$\"1+++?ESvqF<7$$\"1++++++:FFJ$\"1+++'Q_$QqF<7$$\"1 ++++++'*GFJ$\"1+++I)z&3qF<7$$\"1++++++xIFJ$\"1*****RU_X)pF<7$$\"1+++++ +eKFJ$\"1,++^$z]'pF<7$$\"1++++++RMFJ$\"1+++W/B\\pF<7$$F4FJ$\"1+++GeFOp F<7$$\"1++++++,QFJ$\"1+++([Sc#pF<7$$\"1++++++#)RFJ$\"1+++q(po\"pF<7$$ \"1++++++jTFJ$\"1,++$*Hg4pF<7$$\"1++++++WVFJ$\"1+++AJb.pF<7$$\"1++++++ DXFJ$\"1,++V5\\)*oF<7$$\"1++++++1ZFJ$\"1+++MLB%*oF<7$$\"1++++++()[FJ$ \"1+++DFj!*oF<7$$\"1++++++o]FJ$\"1+++B1d()oF<7$$\"1++++++\\_FJ$\"1+++M 7&\\)oF<7$$F9FJ$\"1,++^pp#)oF<7$$\"1++++++6cFJ$\"1,++!pW2)oF<7$$\"1+++ +++#z&FJ$\"1+++1I/zoF<7$$\"1++++++tfFJ$\"1+++%z\\v(oF<7$$\"1++++++ahFJ $\"1+++n/BwoF<7$$\"1++++++NjFJ$\"1+++(\\c](oF<7$$\"1++++++;lFJ$\"1+++_ U+uoF<7$$\"1++++++(p'FJ$\"1+++hS0toF<7$$\"1++++++yoFJ$\"1+++m%*=soF<7$ $\"1++++++fqFJ$\"1+++8mRroF<7$$\"1,+++++SsFJ$\"1******fPmqoF<7$$\"1*** ********4U(FJ$\"1+++!)3)*poF<7$$\"1++++++-wFJ$\"1,++H$R$poF<7$$\"1++++ ++$y(FJ$\"1+++y:tooF<7$$\"1++++++kzFJ$\"1*****\\)4:ooF<7$$\"1++++++X\" )FJ$\"1*****pg\"fnoF<7$$\"1,+++++E$)FJ$\"1+++Q![q'oF<7$$\"1*********** p])FJ$\"1+++i_^moF<7$$\"1++++++)o)FJ$\"1,++H&))f'oF<7$$\"1++++++p))FJ$ \"1,++SKYloF<7$$\"1++++++]!*FJ$\"1,++E[$\\'oF<7$$\"1++++++J#*FJ$\"1+++ _')RkoF<7$$\"1++++++7%*FJ$\"1+++*))\\Q'oF<7$$\"1,+++++$f*FJ$\"1*****pS $GjoF<7$$\"1***********Rx*FJ$\"1+++OOpioF<7$$\"1++++++b**FJ$\"1+++?W2i oF<7$$\"1+++++g85!#8$\"1+++_)=9'oF<7$$\"1+++++qJ5F\\]l$\"1+++s!>2'oF<7 $$\"1+++++!)\\5F\\]l$\"1+++Fg'*foF<7$$\"1+++++!z1\"F\\]l$\"1+++)>\\\"f oF<7$$FIF\\]l$\"1+++ZiDeoF<7$$\"1+++++5/6F\\]l$\"1+++9EFdoF<7$$\"1++++ +?A6F\\]l$\"1,++$*4=coF<7$$\"1+++++IS6F\\]l$\"1+++>2'\\&oF<7$$\"1+++++ Se6F\\]l$\"1+++))pe`oF<7$$\"1+++++]w6F\\]l$\"1+++8*H?&oF<7$$\"1+++++g% >\"F\\]l$\"1*****fM`-&oF<7$$\"1+++++q77F\\]l$\"1+++DM@[oF<7$$\"1+++++! 3B\"F\\]l$\"1+++tn&e%oF<7$$\"1+++++!*[7F\\]l$\"1,++o#=J%oF<7$$FOF\\]l$ \"1+++)G=*RoF<7$$\"1+++++5&G\"F\\]l$\"1+++\"Hfh$oF<7$$\"1+++++?.8F\\]l $\"1*****4i@<$oF<7$$\"1+++++I@8F\\]l$\"1+++7$ek#oF<7$$\"1+++++SR8F\\]l $\"1+++X()=?oF<7$$\"1+++++]d8F\\]l$\"1+++#*3p7oF<7$$\"1+++++gv8F\\]l$ \"1+++4>p.oF<7$$\"1+++++q$R\"F\\]l$\"1+++8o&Gz'F<7$$\"1+++++!=T\"F\\]l $\"1******4]xznF<7$$\"1+++++!*H9F\\]l$\"1+++XW%Rw'F<7$$FTF\\]l$\"1+++) H`Zu'F<7$$\"1+++++5m9F\\]l$\"1,++V$f9s'F<7$$\"1+++++?%[\"F\\]l$\"1+++q t;$p'F<7$$\"1+++++I-:F\\]l$\"1+++Lc!)emF<7$$\"1+++++S?:F\\]l$\"1+++NH5 [0l F<7$$\"1+++++qu:F\\]l$\"1+++f%))=V'F<7$$\"1+++++!Gf\"F\\]l$\"1+++KCiVj F<7$$\"1+++++!4h\"F\\]l$\"1+++n;NQiF<7$$FYF\\]l$\"1+++b*eO6'F<7$$\"1++ +++5Z;F\\]l$\"1+++b_;nfF<7$$\"1+++++?l;F\\]l$\"1+++esp'z&F<7$$\"1+++++ I$o\"F\\]l$\"1+++2]\\+cF<7$$\"1+++++S,z \"F\\]l$\"1+++e*=1*QF<7$$\"$\"=F($\"1+++3%f3a$F<-%'COLOURG6&%$RGBGF($ \"*++++\"F