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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.

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Interaction Variables:  Acceleration (_a_).

h4. Laws of Interaction

Acceleration must be a constant.

h4. Laws of Change

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