Free Fall Equation (Air Drag) (Q3836)

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Language	Label	Description	Also known as
English	Free Fall Equation (Air Drag)	No description defined

Statements

Mathematical Formulation

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defining formula

m{\dot {v}}=mg-{\frac {1}{2}}\rho C_{D}Av^{2}

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y(t)=y_{0}+v_{0}t-{\frac {v_{\infty }^{2}}{g}}\ln \cosh \left({\frac {gt}{v_{\infty }}}\right)

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in defining formula

v

symbol represents

Free Fall Velocity

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m

symbol represents

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g

symbol represents

Gravitational Acceleration

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\rho

symbol represents

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C_{D}

symbol represents

Drag Coefficient

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A

symbol represents

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v_{0}

symbol represents

Free Fall Initial Velocity

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v_{\infty }

symbol represents

Free Fall Terminal Velocity

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Free Fall Equation (Vacuum)

Mathematical Condition

\rho \rightarrow 0

C_{D}\rightarrow 0

Vanishing Air Density

\rho \rightarrow 0

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Identifiers

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Sitelinks

mathematics(0 entries)

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