{VERSION 5 0 "SUN SPARC SOLARIS" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 " " 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 256 "" 0 "" {TEXT -1 29 "2250 -3, Monday September 8" }}{PARA 257 "" 0 "" {TEXT -1 44 "Computation sheet for Example 2, sect ion 2.3" }}{PARA 0 "" 0 "" {TEXT -1 23 "Time of maximum height:" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "25*ln(294.0/245);\nsolve(-24 5+294*exp(-.04*t)=0,t); #should be same" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+?*Q!eX!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+?*Q!eX!\"* " }}}{PARA 0 "" 0 "" {TEXT -1 42 "Formulas for height and velocity fun ctions" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "v:= t -> 294*exp(- .04*t) - 245;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vGf*6#%\"tG6\"6$% )operatorG%&arrowGF(,&*&\"$%H\"\"\"-%$expG6#,$*&$\"\"%!\"#F/9$F/!\"\"F /F/\"$X#F9F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "y:= t-> -245*t + 294*25*(1 - exp(-.04*t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"yGf*6#%\"tG6\"6$%)operatorG%&arrowGF(,(*&\"$X#\"\"\"9$F/!\"\"\"%] tF/*&F2F/-%$expG6#,$*&$\"\"%!\"#F/F0F/F1F/F1F(F(F(" }}}{PARA 0 "" 0 " " {TEXT -1 73 "Maximum height, return time tor ground time spent falli ng, landing speed:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "y(4.55 8038920); #max height" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*l/G3\"!\" '" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "solve(y(t)=0,t); #fin d when returns to ground" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\"+J*\\4T *!\"*$\"\"!F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "9.41094993 1 - 4.558038920; #time descending" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"+65\"H&[!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "v(9.41094 9931); #speed when it lands " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!*$4t AV!\"(" }}}{PARA 0 "" 0 "" {TEXT -1 165 "Conclusions: bolt rises for \+ 4.56 seconds, to a height of 108.3 meters. Then it spends 4.85 second s descending, landing with a velocity of -43.3 meters per second." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "z:= t->-4.9*t^2 + 49*t; #the no resistance model" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zGf* 6#%\"tG6\"6$%)operatorG%&arrowGF(,&*&$\"#\\!\"\"\"\"\")9$\"\"#F1F0*&F/ F1F3F1F1F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "plot(\{z( t),y(t)\}, t = 0..10, color=black,\ntitle=`comparison of linear drag v s. no drag models`);" }}{PARA 13 "" 1 "" {GLPLOT2D 431 239 239 {PLOTDATA 2 "6(-%'CURVESG6#7S7$$\"\"!F)F(7$$\"3dmmm;arz@!#=$\"3M'fTKv/ -/\"!#;7$$\"3ZLL$e9ui2%F-$\"3e,W2W5?+>F07$$\"3nmmm\"z_\"4iF-$\"38(R$G5 ]l&[)o$F07$$\"3JLLe*=)H\\5!#<$\"3#4M-' z27.XF07$$\"3rmm\"z/3uC\"FC$\"3%)*RJA:&Q7_F07$$\"3*)***\\7LRDX\"FC$\"3 +!o'p!*3_+fF07$$\"3$om;zR'ok;FC$\"3VboMr>3jlF07$$\"33++D1J:w=FC$\"3T/I M_uBurF07$$\"3oLLL3En$4#FC$\"3954jI())>v(F07$$\"3\"pmmT!RE&G#FC$\"3)G9 W6Sr%=#)F07$$\"3D+++D.&4]#FC$\"3QdWQb]\\'p)F07$$\"3;+++vB_Yuq))y*F07$$\"3_LLL347TLFC$\"3%R\"yG4#\\!45!#:7$$\"3nLLLLY.KNFC$\"3=b <.`,^I5Fgp7$$\"33++D\"o7Tv$FC$\"3e,(R8(Qz]5Fgp7$$\"3>LLL$Q*o]RFC$\"3PS w#Re#ek5Fgp7$$\"3l++D\"=lj;%FC$\"3,U/QG#[_2\"Fgp7$$\"3R++vV&RN!>)4lL!3\"Fgp7$$\"3emm;/T1&*\\FC$\"39Sfl\"Q+N2\"Fgp7$$\"3=nm \"zRQb@&FC$\"3Y*obI;1=1\"Fgp7$$\"3:++v=>Y2aFC$\"3%45PyAZy/\"Fgp7$$\"3Z nm;zXu9cFC$\"3@HW&4v_)G5Fgp7$$\"34+++]y))GeFC$\"3uk?!e%4*\\+\"Fgp7$$\" 3H++]i_QQgFC$\"3Jd\\.wD8v(*F07$$\"3a++D\"y%3TiFC$\"36?6oF9oq%*F07$$\"3 +++]P![hY'FC$\"3]$y(G9/b)3*F07$$\"3iKLL$Qx$omFC$\"3Un3s6l%fq)F07$$\"3Y +++v.I%)oFC$\"3&3!o9*>#yc#)F07$$\"3?mm\"zpe*zqFC$\"3!4\\NUN4Q\"yF07$$ \"3;,++D\\'QH(FC$\"3;9gpFLs!H(F07$$\"3%HL$e9S8&\\(FC$\"3]b?a$pK=w'F07$ $\"3s++D1#=bq(FC$\"3j(\\/IBh7<'F07$$\"3\"HLL$3s?6zFC$\"3nIrh))G*ob&F07 $$\"3a***\\7`Wl7)FC$\"3+?ViYC'[([F07$$\"3enmmm*RRL)FC$\"30Y*R,uO2=%F07 $$\"3$zmmTvJga)FC$\"3&\\xFn>6MV$F07$$\"3]MLe9tOc()FC$\"3')Rx!=*\\:bEF0 7$$\"31,++]Qk\\*)FC$\"3YM%>F07$$\"3zML$3dg6<*FC$\"3Ui\"z34nK,\"F 07$$\"3%ymmmw(Gp$*FC$\"3-M3>+\\$Rz\"FC7$$\"3B++D\"oK0e*FC$!3GV&*HcoRYu FC7$$\"35,+v=5s#y*FC$!3^e?NXkci;F07$$\"#5F)$!3!y%\\>OQB&o#F0-F$6#7SF'7 $F+$\"3_g\"3O()zZ/\"F07$F2$\"3/'e*)z(e&f\">F07$F7$\"3-$Q/QLsN&GF07$F<$ \"3Q'=7`yxBv$F07$FA$\"3.JN`]!e?g%F07$FG$\"3m/\"oTGY)\\`F07$FL$\"3n#=*z thg$3'F07$FQ$\"3Cr87cZ3*z'F07$FV$\"3C`,O'[u$ouF07$Fen$\"3yN&*HNz46\")F 07$Fjn$\"3S++p&)=!)Q')F07$F_o$\"36Fgp7$F^q$\"3*)=*fYZS*[6Fgp7$Fcq$\"3>!ydUT[5<\"Fgp7 $Fhq$\"33:%fkfZ4>\"Fgp7$F]r$\"3O9l:^\"fc?\"Fgp7$Fbr$\"3_`_vcEg;7Fgp7$F gr$\"3eoE4d&)oA7Fgp7$F\\s$\"3p$o4i!))*\\A\"Fgp7$Fas$\"3A_@v;OsA7Fgp7$F fs$\"3pfOXkZ'o@\"Fgp7$F[t$\"3Wuo,mB[17Fgp7$F`t$\"33'*Rn,VL\">\"Fgp7$Fe t$\"3Ld_\\6Fgp7$F_u$\"3))4Yn'3q'>6Fgp7$Fdu$\" 3)*3BVG$4')3\"Fgp7$Fiu$\"3\"y'>u#>@50\"Fgp7$F^v$\"3PzI$*=[,85Fgp7$Fcv$ \"3r>)oe,59i+T*>*F07$F]w$\"30(Qoa!RGj')F07$Fbw$\"3'e` s\"pv=(4)F07$Fgw$\"3m\\U6aC6guF07$F\\x$\"3e,ZM1Pd.oF07$Fax$\"3,7kB6Gd) 3'F07$Ffx$\"3()*o&)HDbfL&F07$F[y$\"3+;q\\%f`hg%F07$F`y$\"3]4%R7b&pCPF0 7$Fey$\"3SHz!>'*ob*GF07$Fjy$\"3mM.WuH

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