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{excerpt}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. {excerpt}
It is a subclass of the [One-Dimensional Motion (General)] model defined by the constraint da/dt = 0.{panel:title=Model Specification|bgColor=#FFFFFF}

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h4. System Schema

Internal Constituents:  None.  Object must be treated as a point particle.

External Agents:  Some constant external influence must be present which produces the acceleration.

h4. 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).

h4. Laws of Interaction

Acceleration

 must be a constant.

h4. Laws of Change

{latex}\(v_{\rm f} - v_{\rm i} = a (t_{\rm f} - t_{\rm i}) \)

 \( x_{\rm f} = x_{\rm i} + \frac{1}{2}(v_{\rm f} + v_{\rm i})(t_{\rm f} - t_{\rm i})

 \)

\( x_{\rm f} = x_{\rm i} + v_{\rm i} (t_{\rm f} - t_{\rm i})

 \+ \frac{1}{2} a (t_{\rm f}-t_{\rm i})^{2} \)

\(v_{\rm f}^{2} = v_{\rm i}^{2} + 2 a (x_{\rm f} - x_{\rm i})

{latex}

{info}