Free Fall Equation (Air Drag)
type: Item
instance of: mathematical expression
instance of: nonlinear expression
defining formula: m v ˙ = m g − 1 2 ρ C D A v 2 v ( t ) = v 0 + v ∞ tanh ( g t v ∞ ) y ( t ) = y 0 + v 0 t − v ∞ 2 g ln cosh ( g t v ∞ )
in defining formula: A
in defining formula: C D
in defining formula: ρ
in defining formula: g
in defining formula: m
in defining formula: t
in defining formula: v
in defining formula: v 0
in defining formula: v ∞
in defining formula: y
in defining formula: y 0
Wikidata QID: Q38083707
community: MathModDB
MaRDI profile type: MaRDI formula profile
specialized by: Free Fall Equation (Vacuum)
description: Moreover, assuming the falling object to be a point mass.
related URL: Free fall
related URL: Q38083707
assumes: Uniform Gravitational Acceleration
description: modeling the fall of objects by the laws of classical mechanics, including aerodynamic drag and assuming a uniform gravitational field