{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{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 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 76 "This homework was assigned Week 4 Block 2 by Dr. Rickert and is due by \n5PM " }{TEXT 257 29 "We dnesday, September 29, 1999" }{TEXT -1 1 "." }{MPLTEXT 1 0 1 " " }}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 17 "Exercises 1 and 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 184 "A bowling ball is thrown upwards from a \+ height of 70.000 meters with an initial velocity of 25.000 meters per \+ second upwards. 1 (A) Determine the velocity function of the bowling b all." }}{PARA 0 "" 0 "" {TEXT -1 272 "1 (B) Determine the height funct ion of the bowling ball.\n2 (A) Plot the height function of the bowlin g ball and estimate the time that the bowling ball reaches its maximum height. What is this maximum height?\n2 (B) With what velocity does t he bowling ball hit the ground? " }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Exercise 3" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "A mass on a spring \+ experiences an acceleration of " }{XPPEDIT 18 0 "a(t) = 8*cos(5*t-Pi/4 );" "6#/-%\"aG6#%\"tG*&\"\")\"\"\"-%$cosG6#,&*&\"\"&F*%\"tGF*F**&%#PiG F*\"\"%!\"\"F5F*" }{TEXT -1 67 " meters per second per second.\nThe in itial velocity of the mass is " }{XPPEDIT 18 0 "-4*sqrt(2);" "6#,$*&\" \"%\"\"\"-%%sqrtG6#\"\"#F&!\"\"" }{TEXT -1 172 "/5 meters per second. \+ The intitial position of the mass is +1 meter. \n3 (A) Determine the \+ velocity function of the mass.\n3 (B) Determine the position function \+ of the mass." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Exercise 4" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 81 "The position function (in meters) \+ of a mass attached to a spring is given below. " }{TEXT 256 1 "t" } {TEXT -1 15 " is in seconds." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }{GLPLOT2D 400 300 300 {PLOTDATA 2 "6%-%'CURV ESG6$7go7$\"\"!$\"\"\"F(7$$\"1LLL3x&)*3\"!#;$\"1$z\">(pflY*F.7$$\"1nmm ;arz@F.$\"1L1)**R:Pp)F.7$$\"1++D\"y%*z7$F.$\"1&Q>)3.geyF.7$$\"1LL$e9ui 2%F.$\"1u\"=)*H`C!pF.7$$\"1++voMrU^F.$\"1!GLORs&>dF.7$$\"1nmm\"z_\"4iF .$\"1dilzo_jWF.7$$\"1nmmm6m#G(F.$\"1&G\"G8F&p;$F.7$$\"1ommT&phN)F.$\"1 kP85#Rx(=F.7$$\"1,+v=ddC%*F.$\"186z+@y\"Q'!#<7$$\"1LLe*=)H\\5!#:$!1P<* QxF'e_FY7$$\"1++v=JN[6Fgn$!1Nuh@9f8:F.7$$\"1nm\"z/3uC\"Fgn$!1i+q!*\\p% R#F.7$$\"1LLe*ot*\\8Fgn$!1Xyc/_gzJF.7$$\"1++DJ$RDX\"Fgn$!1Q/Q,[F.7$$\"1LL3_(>/x\"Fgn$!1(QK1t5$y[F.7$$\"1+]i!4 `oz\"Fgn$!1OutVSc-\\F.7$$\"1nm;HkGB=Fgn$!1x7%y&>_<\\F.7$$\"1L$3xw>(\\= Fgn$!1A$*3tlLB\\F.7$$\"1++D1J:w=Fgn$!1t3#[_t,#\\F.7$$\"1L3x\")H`I>Fgn$ !1@Ri&R2i)[F.7$$\"1n;HdG\"\\)>Fgn$!1mF6[;t;[F.7$$\"1+D\"Gt#HR?Fgn$!16g (e$Gm8ZF.7$$\"1MLL3En$4#Fgn$!1*R;Vj&4zXF.7$$\"1,+Dc#o%*=#Fgn$!1l[))eWO sUF.7$$\"1nm;/RE&G#Fgn$!18%Gims\"))QF.7$$\"1+++D.&4]#Fgn$!1E^]L)4O\"GF .7$$\"1+++vB_8$R)o8SRFY7$$\"1 nm\"z*ev:JFgn$\"1CY2aFgn$!1,paR()ep\")FY7$$\"1L$e*[K56bFgn$!1S?M!yks#G QP/$FY7$$\"1LLe9S8&\\(Fgn$\"1%>)pxu/`WFY7$$\"1,+D1#=bq(Fgn$\"14.4)[OjD &FY7$$\"1LLL3s?6zFgn$\"1X#f!yOn#R&FY7$$\"1++DJXaE\")Fgn$\"1z&**QF^<$\\ FY7$$\"1ommm*RRL)Fgn$\"1dPW/PaMSFY7$$\"1om;a<.Y&)Fgn$\"1W#*e^eS?GFY7$$ \"1NLe9tOc()Fgn$\"1J*Gt7)4!\\\"FY7$$\"1,++]Qk\\*)Fgn$\"1qk\"4'HlOHFcz7 $$\"1NL$3dg6<*Fgn$!1=DNkkc*4*Fcz7$$\"1ommmxGp$*Fgn$!1:9\"pGqbu\"FY7$$ \"1++D\"oK0e*Fgn$!1$pa-yn)HBFY7$$\"1,+v=5s#y*Fgn$!1F:\"*)*3qxDFY7$$\"# 5F($!1\"Rm&p,MDDFY-%'COLOURG6&%$RGBG$Fhbl!\"\"F(F(-%+AXESLABELSG6$Q\"t 6\"%!G-%%VIEWG6$;F(Fgbl%(DEFAULTG" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 218 "4(A) Cr eate a model for the position function that matches the given informat ion.\n4(B) using this model, determine the velocity and acceleration f unctions for the mass.\n4(C) At what time is the acceleration maximize d? " }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "4 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 }