Versions Compared

Old Version 46

changes.mady.by.user Andrew E Pawl

Saved on

compared with

New Version Current

changes.mady.by.user Andrew E Pawl

Saved on

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.
Comment: Migration of unmigrated content due to installation of a new plugin
{
Wiki Markup
Composition Setup
 HTML Table
border1
cellpadding8
cellspacing0
rulescols
framevoid
 Table Row (tr)
valigntop
 Table Cell (td)
valigntop
Introduction to the Model
Description and Assumptions
 Excerpt
hiddentrue
System: One point particle. — Interactions: No acceleration (zero net force).
This model is applicable to a single point particle moving with constant velocity, which implies that it is subject to no net force (zero acceleration). Equivalently, the model applies to an object moving in one-dimension whose position versus time graph is linear. It is a subclass of the One-Dimensional Motion with Constant Acceleration model defined by the constraint a = 0.
Learning Objectives
Students will be assumed to understand this model who can:
S.I.M. Structure of the Model
Compatible Systems
A single point particle (or a system treated as a point particle with position specified by the center of mass).
Relevant Interactions
In order for the velocity to be constant, the system must be subject to no net force.
Law of Change
Mathematical Representation
 Latex
\begin{large}\[x(t) =  x_{
}{composition-setup}
{table:cellspacing=0|cellpadding=8|border=1|frame=void|rules=cols}
{tr:valign=top}
{td:valign=top}


h4. Introduction to the Model

h5. Description and Assumptions

{excerpt:hidden=true}{*}System:* One [point particle]. --- *Interactions:* No acceleration (zero net force).{excerpt}

This model is applicable to a single [point particle] moving with constant velocity, which implies that it is subject to no net force (zero acceleration).  Equivalently, the model applies to an object moving in one-dimension whose position versus time graph is linear.  It is a subclass of the [One-Dimensional Motion with Constant Acceleration|1-D Motion (Constant Acceleration)] model defined by the constraint _a_ = 0.


h5. Learning Objectives

Students will be assumed to understand this model who can:

* Describe the difference between [distance] and [displacement].
* Define average [velocity] and average [speed].
* Describe the features of a [motion diagram] that exhibits motion with constant [velocity].
* Relate [displacement], time and [velocity].
* Find [velocity] from the slope of a [position versus time graph].
* Describe the properties of the [position versus time graph] given the [velocity] and the initial [position] for a trip made at constant velocity.
* Mathematically determine when two objects moving with constant velocity will meet by constructing and solving a system of equations.
* Graphically determine when two objects moving with constant velocity will meet.


h4. S.I.M. Structure Model

h5. Compatible Systems

A single [point particle|point particle] (or a system treated as a point particle with position specified by the center of mass).

h5. Relevant Interactions

In order for the velocity to be constant, the system must be subject to no _net_ force.

h4. Law of Change

h5. Mathematical Representation

{latex}\begin{large}$x =  x_{\rm 
i} + v (t - t_{
\rm 
i})
$
\]\end{large}
{latex}\\

h5. Diagrammatic Representations

* [motion diagram]
* [position versus time graph]
* [velocity versus time graph]


h4. Relevant Examples


h6. {toggle-cloak:id=one} Examples Involving Purely One-Dimensional Motion

{cloak:id=one}
{contentbylabel:
Diagrammatic Representations
Image Added
Click here for a Mathematica Player application illustrating these representations.
Image Added
Click here to download the (free) Mathematica Player from Wolfram Research
Relevant Examples
 
 Toggle Cloak
idone
 Examples Involving Purely One-Dimensional Motion
 
 Cloak
idone
falsetruetrueAND50constant_velocity,1d_motion,example_problem
|showSpace=false|showLabels=true|excerpt=true|operator=AND|maxResults=50}
{cloak}

h6. {
 Toggle Cloak
:
id
=
catch
} 
 Examples 
 
 Involving 
 
 Determining 
 
 when 
 
 Two 
 
 Objects 
 
 Meet


{
 Cloak
:
id
=catch}
{contentbylabel:
catch
falsetruetrueAND50constant_velocity,example_problem,catch-up
|showSpace=false|showLabels=true|excerpt=true|operator=AND|maxResults=50}
{cloak}

h6. {
 Toggle Cloak
:
id
=
proj
} 
 Examples 
 
 Involving 
 
 Projectile 
 
 Motion


{
 Cloak
:
id
=proj}
{contentbylabel:
proj
falsetruetrueAND50projectile_motion,example_problem
|showSpace=false|showLabels=true|excerpt=true|operator=AND|maxResults=50}
{cloak}

h6. {
 Toggle Cloak
:
id
=
all
} 
 All 
 
 Examples 
 
 Using 
 
 This 
 
 Model


{
 Cloak
:
id
=all}
{contentbylabel:
all
falsetruetrueAND501d_motion,constant_velocity,example_problem
|showSpace=
false
|showLabels=
true
|excerpt=
true
|operator=
AND
|maxResults=
50
}
{contentbylabel:
projectile_motion,example_problem
|showSpace=false|showLabels=true|excerpt=true|operator=AND|maxResults=50}
{cloak}
{td}
{td:width=235px}
{td}
{tr}
{table}
 Table Cell (td)
width235px