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