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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 26 "Computer-Intensive Physic
s" }}{PARA 18 "" 0 "" {TEXT -1 24 "Physics 211: Spring 1998" }}}
{EXCHG {PARA 19 "" 0 "" {TEXT -1 16 "Steven R. Dunbar" }}{PARA 19 "" 
0 "" {TEXT -1 40 "Department of Mathematics and Statistics" }}{PARA 
19 "" 0 "" {TEXT -1 30 "University of Nebraska-Lincoln" }}{PARA 19 "" 
0 "" {TEXT -1 23 "Lincoln, NE, USA  68588" }}{PARA 19 "" 0 "" {TEXT 
-1 20 "sdunbar@math.unl.edu" }}{PARA 256 "" 0 "" {TEXT -1 32 "http://w
ww.math.unl.edu/~sdunbar" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 282 "\n1-
1: Kinematics: Displacement, Velocity, Acceleration\n\nKeywords: Kinem
atics, Displacement, Velocity, Acceleration, Derivative, Integral;\n\n
OBJECTIVE: Given a function representing the displacement, velocity, o
r acceleration of an object, find the other two corresponding quantiti
es." }}{PARA 0 "" 0 "" {TEXT -1 40 "\nPREREQUISITE: First semester cal
culus.\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 81 "MAPLE TIP:  Maple com
mands always end in a semi-colon before they an be executed!" }}}
{SECT 1 {PARA 3 "" 0 "" {TEXT -1 46 "From Displacement to Velocity and
 Acceleration" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 117 "A bungee jumper \+
on the end of a hypothetical bungee cord has a distance, or displaceme
nt, from the platform given by " }}{PARA 0 "" 0 "" {TEXT -1 21 "s := e
xp( - (t-3)^2);" }}{PARA 0 "" 0 "" {TEXT -1 96 "Define the displacemen
t expression and then plot the displacement versus t on the interval 0
..10" }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "s := exp(-(t-3)^2);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "plot( s, t = 0..10);" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 69 "When is the velocity of the jumper positive (away from th
e platform)?" }}{PARA 0 "" 0 "" {TEXT -1 71 "When is the velocity of t
he jumper negative (back toward the platform)?" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 29 "Write your discussion her
e:  " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 86 "Find the expression for the vel
ocity. and then plot the velocity to check your guesses" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "v := diff( s, );" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 14 "plot(v, t = );" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 50 "When is the jumper accelerating?  How do you know?" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 
0 "" 0 "" {TEXT -1 51 "When is the jumper decelerating?   How do you k
now?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 71 "Find the expression for t
he acceleration and then plot the accelaration" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 17 "a := diff( ,   );" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "plot(a,
  ); " }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 46 "From Velocity to Dispa
lcement and Accelaration" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "A moto
rboat leaves the dock with velocity given by " }}{PARA 0 "" 0 "" 
{TEXT -1 19 "v := exp(-(t-3)^2);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "v := exp(-(t-3)^2);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "plot( , );" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 58 "When is the boat farthest from the dock?  How d
o you know?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 41 "When is boat accelerating?  Decelerating?" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 29 "Write your descriptions h
ere." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "s := int( , );  # use a d
efinite integral here, Why?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
39 "a :=  ; #supply the proper command here" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 10 "plot(s, );" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 
46 "From Acceleration to Velocity and Displacement" }}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 78 "A mysterious \"tractor-beam\" accelerates the U.S.
S. Enterprise according to the" }}{PARA 0 "" 0 "" {TEXT -1 10 "express
ion" }}{PARA 0 "" 0 "" {TEXT -1 19 "a: = exp(-(t-3)^2) " }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 88 "Scotty has to know h
ow fast the Enterprise is moving and where it is!  Can you help him?" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "a := exp(-(t-3)^2);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "v := int( , );  # use a defi
nite integral here" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "s := \+
int( , );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "plot( s, );" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(v, t = 0..10);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 60 "What is the expression for the velocity?  Plot the veloci
ty." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 69 "What is the expression for
 the displacement?  Plot  the displacement?" }}}}}{MARK "6" 0 }
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