Free Fall Equation (Air Drag) (Q3836): Difference between revisions

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Changed claim: defining formula (P29): \begin{align} m\dot{v}&=mg-\frac{1}{2}\rho C_DAv^2 \\ y(t)&=y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right)\\ v(t) &= v_{\infty}\tanh\left(\frac{gt}{v_{\infty}}\right) \end{align}
 
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Property / defining formulaProperty / defining formula

\begin{align} m\dot{v}&=mg-\frac{1}{2}\rho C_DAv^2 \\ y(t)&=y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right) \end{align}

\begin{align} m\dot{v}&=mg-\frac{1}{2}\rho C_DAv^2 \\ y(t)&=y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right)\\ v(t) &= v_{\infty}\tanh\left(\frac{gt}{v_{\infty}}\right) \end{align}
Property / defining formula: / reference
 
Property / Generalizes Formulation: Free Fall Equation (Vacuum) / qualifier
 
Property / Generalizes Formulation: Free Fall Equation (Vacuum) / qualifier
Mathematical Condition: Q4011 (Deleted Item)
 
Property / described at URL
 
Property / described at URL: https://en.wikipedia.org/wiki/Free_fall / rank
Normal rank
 

Latest revision as of 10:11, 10 October 2024

Modeling the fall of objects by the laws of classical mechanics, including the aerodynamic drag and assuming a uniform gravitational field. Moreover, assuming the falling object to be a point mass.
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Free Fall Equation (Air Drag)
Modeling the fall of objects by the laws of classical mechanics, including the aerodynamic drag and assuming a uniform gravitational field. Moreover, assuming the falling object to be a point mass.

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