You are viewing an old version of this page. View the current version.

Compare with Current View Page History

« Previous Version 73 Next »

Description

Unknown macro: {table}
Unknown macro: {tr}
Unknown macro: {td}

Hierarchy of Models

Unknown macro: {tr}
Unknown macro: {td}

This model applies for a point particle subject to a constant acceleration that is either parallel to or antiparallel to the particle's initial velocity. It is a subclass of the One-Dimensional Motion (General) model defined by the constraint da/dt = 0.


Page Contents


Assumptions and Limitations

Prior Models

  • [One-Dimensional Motion with Constant Velocity]

Vocabulary

  • [position (one-dimensional)]
  • [velocity (one-dimensional)]
  • [acceleration (one-dimensional)]

Model Specification

System Structure

Internal Constituents:  Point particle.
Environment:  Some constant external influence must be present which produces a constant acceleration that is directed parallel or anti-parallel to the particle's initial velocity.

Descriptors

Object Variables:  None.

State Variables:  Time (t), position (x) , and velocity (v) are possible state variables.  Note that in some cases only two of the three possible state variables will be needed.
Interaction Variables:  Acceleration (a).

Laws of Interaction

Acceleration must be a constant.

Laws of Change

Unknown macro: {latex}

\begin

Unknown macro: {large}

$v_

Unknown macro: {rm f}

=  v_

Unknown macro: {rm i}

+ a (t_

- t_

Unknown macro: {rm i}

)$\end


Unknown macro: {latex}

\begin

Unknown macro: {large}

$x_

Unknown macro: {rm f}

= x_

Unknown macro: {rm i}

+\frac

Unknown macro: {1}
Unknown macro: {2}

(v_

+v_

Unknown macro: {rm i}

)(t_

Unknown macro: {rm f}

- t_

)$\end


Unknown macro: {latex}

\begin

Unknown macro: {large}

$ x_

Unknown macro: {rm f}

= x_

Unknown macro: {rm i}

+v_

(t_

-t_

Unknown macro: {rm i}

)+ \frac

Unknown macro: {1}
Unknown macro: {2}

a(t_

Unknown macro: {rm f}

-t_

)^

Unknown macro: {2}

$\end


Unknown macro: {latex}

\begin

Unknown macro: {large}

$v_

Unknown macro: {rm f}

^

Unknown macro: {2}

= v_

Unknown macro: {rm i}

^

+ 2 a (x_

- x_

Unknown macro: {rm i}

)$\end


Relevant Examples

Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null

Unknown macro: {search-box}



null

RELATE wiki by David E. Pritchard is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.


  • No labels