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{
Wiki Markup
Composition Setup
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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_{
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h4. 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, i.e. with no net force.  It is a subclass of the [One-Dimensional Motion with Constant Acceleration|1-D Motion (Constant Acceleration)] model defined by the constraint _a_ = 0.

h4. Problem Cues

For pure kinematics problems, the problem will often explicitly state that the velocity is constant, or else some quantitative information will be given (e.g. a linear position versus time plot) that implies the velocity is constant. Alternatively, there may be no net force on the particle, e.g. if it slides on ice or on wheels.


h4. 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.


h1. Model


h4. System

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

h4. Interactions

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

h4. Law of Change

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

h4. Diagrammatic Representations

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


h1. Relevant Examples


h4. {toggle-cloak:id=one} Examples Involving Purely One-Dimensional Motion

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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
 
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idone
falsetruetrueAND50constant_velocity,1d_motion,example_problem
|showSpace=false|showLabels=true|excerpt=true|operator=AND|maxResults=50}
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h4. {
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id
=
catch
} 
 Examples 
 
 Involving 
 
 Determining 
 
 when 
 
 Two 
 
 Objects 
 
 Meet


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{contentbylabel:
catch
falsetruetrueAND50constant_velocity,example_problem,catch-up
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h4. {
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proj
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 Examples 
 
 Involving 
 
 Projectile 
 
 Motion


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falsetruetrueAND50projectile_motion,example_problem
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h4. {
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all
} 
 All 
 
 Examples 
 
 Using 
 
 This 
 
 Model


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falsetruetrueAND501d_motion,constant_velocity,example_problem
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AND
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projectile_motion,example_problem
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