{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 "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" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "25*ln(294.0/245); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+?*Q!eX!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "y:= t-> -245*t + 294*25*(1 - exp(-.04*t)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yGf*6#%\"tG6\"6$%)operatorG%&a rrowGF(,(9$!$X#\"%]t\"\"\"*&F/F0-%$expG6#,$F-$!\"%!\"#F0!\"\"F(F(F(" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "v:= t -> 294*exp(-.04*t) - 245; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vGf*6#%\"tG6\"6$%)operat orG%&arrowGF(,&-%$expG6#,$9$$!\"%!\"#\"$%H\"$X#!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "solve(v(t)=0,t); #find when max h eight " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+?*Q!eX!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "y(4.558038920); #max height" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*l/G3\"!\"'" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 46 "solve(y(t)=0,t); #find when returns to ground " }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\"+J*\\4T*!\"*$\"\"!F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "9.410949931 - 4.558038920; # time descending" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+65\"H&[!\"*" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "v(9.410949931); #speed when it lands " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!*$4tAV!\"(" }}}{PARA 0 "" 0 "" {TEXT -1 165 "Conclusions: bolt rises for 4.56 seconds, to \+ a height of 108.3 meters. Then it spends 4.85 seconds descending, la nding with a velocity of -43.3 meters per second." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "z:= t->-4.9*t^2 + 49*t; #the no resistance model" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zGf*6#%\"tG6\"6$%)operatorG%&arrow GF(,&*$)9$\"\"#\"\"\"$!#\\!\"\"*&\"#\\F1F/F1F1F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "plot(\{z(t),y(t)\}, t = 0..10, color=blac k,\ntitle=`comparison of linear drag vs. no drag models`);" }}{PARA 13 "" 1 "" {GLPLOT2D 431 239 239 {PLOTDATA 2 "6(-%'CURVESG6#7S7$$\"\"! 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