Project: Basebot LaTeX - psholtz/MIT-SICP GitHub Wiki
[ \frac{1}{2} C \rho A u^2 ]
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[ \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 ]
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[ 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 ]
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[ x_0 = 0 ]
[ y_0 = h ]
[ u_0 = V \cdot \cos \alpha ]
[ v_0 = V \cdot \sin \alpha ]