Project: Basebot LaTeX - psholtz/MIT-SICP GitHub Wiki

[ \frac{1}{2} C \rho A u^2 ]

===

[ \frac{dx}{dt} = u ]

[ \frac{dy}{dt} = v ]

[ \frac{du}{dt} = -\frac{1}{m} \sqrt{u^2 + v^2} u \beta ]

[ \frac{dv}{dt} = -\frac{1}{m} \sqrt{u^2 + v^2} v \beta - g ]

===

[ dx = u \cdot dt ]

[ dy = v \cdot dt ]

[ du = -\frac{1}{m} \beta \sqrt{u^2 + v^2} u \cdot dt ]

[ dv = -\left(\frac{1}{m} \sqrt{u^2 + v^2} v \beta + g \right) \cdot dt ]

====

[ x_0 = 0 ]

[ y_0 = h ]

[ u_0 = V \cdot \cos \alpha ]

[ v_0 = V \cdot \sin \alpha ]