Free Fall Equation (Vacuum) (Q3794): Difference between revisions

Latest revision as of 13:33, 3 December 2024

a free fall is any motion of a body where gravity is the only force acting upon it, hence neglecting the aerodynamic drag and assuming a uniform gravitational field. Moreover, assuming the falling object to be a point mass.

Language	Label	Description	Also known as
English	Free Fall Equation (Vacuum)	a free fall is any motion of a body where gravity is the only force acting upon it, hence neglecting the aerodynamic drag and assuming a uniform gravitational field. Moreover, assuming the falling object to be a point mass.

Statements

instance of

mathematical expression

0 references

defining formula

\begin{matrix} v (t) & = v_{0} - g t \\ y (t) & = y_{0} + v_{0} t - \frac{1}{2} g t^{2} \end{matrix}

1 reference

described at URL

https://en.wikipedia.org/wiki/Free_fall

in defining formula

v

symbol represents

Free Fall Velocity

0 references

t

symbol represents

time

0 references

v_{0}

symbol represents

Free Fall Initial Velocity

0 references

g

symbol represents

Gravitational Acceleration

0 references

y

symbol represents

Free Fall Height

0 references

y_{0}

symbol represents

Free Fall Initial Height

0 references

community

MathModDB

0 references

described at URL

https://en.wikipedia.org/wiki/Free_fall

0 references

subclass of

Free Fall Equation (Air Drag)

assumes

Vanishing Air Density

Vanishing Drag Coefficient

0 references

Free Fall Equation (Non-Uniform Gravitation)

assumes

Uniform Gravitational Acceleration

0 references

Identifiers

Wikidata QID

Q38083707

0 references

DOI

10.1017/CBO9780511818509

0 references

@@ label / en / label / en @@
-free fall equation (vacuum)
+Free Fall Equation (Vacuum)
@@ Property / instance of / Property / instance of @@
-formula
+mathematical expression
@@ Property / defining formula / Property / defining formula @@
- $v (t) = v_{0} - g t$ 
v(t)=v_0-gt
+ $\begin{matrix} v (t) & = v_{0} - g t \\ y (t) & = y_{0} + v_{0} t - \frac{1}{2} g t^{2} \end{matrix}$ 
\begin{align} v(t)&=v_0-gt \\ y(t)&=y_0+v_0t-\frac{1}{2}gt^2\\ \end{align}
+described at URL: https://en.wikipedia.org/wiki/Free_fall
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: time
@@ Property / in defining formula: $t$ / qualifier @@
-symbol represents: time
@@ Property / in defining formula @@
+ $v_{0}$ 
v_0
@@ Property / in defining formula: $v_{0}$ / rank @@
+Normal rank
@@ Property / in defining formula: $v_{0}$ / qualifier @@
+symbol represents: Free Fall Initial Velocity
@@ Property / in defining formula @@
+ $g$ 
g
@@ Property / in defining formula: $g$ / rank @@
+Normal rank
@@ Property / in defining formula: $g$ / qualifier @@
+symbol represents: Gravitational Acceleration
@@ Property / in defining formula @@
+ $y$ 
y
@@ Property / in defining formula: $y$ / rank @@
+Normal rank
@@ Property / in defining formula: $y$ / qualifier @@
+symbol represents: Free Fall Height
@@ Property / in defining formula @@
+ $y_{0}$ 
y_0
@@ Property / in defining formula: $y_{0}$ / rank @@
+Normal rank
@@ Property / in defining formula: $y_{0}$ / qualifier @@
+symbol represents: Free Fall Initial Height
@@ Property / Wikidata QID @@
+Q38083707
@@ Property / Wikidata QID: Q38083707 / rank @@
+Normal rank
@@ Property / community @@
+MathModDB
@@ Property / community: MathModDB / rank @@
+Normal rank
@@ Property / DOI @@
+.1017/CBO9780511818509
@@ Property / DOI: 10.1017/CBO9780511818509 / rank @@
+Normal rank
@@ Property / described at URL @@
+https://en.wikipedia.org/wiki/Free_fall
@@ Property / described at URL: https://en.wikipedia.org/wiki/Free_fall / rank @@
+Normal rank
@@ Property / subclass of @@
+Free Fall Equation (Air Drag)
@@ Property / subclass of: Free Fall Equation (Air Drag) / rank @@
+Normal rank
@@ Property / subclass of: Free Fall Equation (Air Drag) / qualifier @@
+assumes: Vanishing Air Density
@@ Property / subclass of: Free Fall Equation (Air Drag) / qualifier @@
+assumes: Vanishing Drag Coefficient
@@ Property / subclass of @@
+Free Fall Equation (Non-Uniform Gravitation)
@@ Property / subclass of: Free Fall Equation (Non-Uniform Gravitation) / rank @@
+Normal rank
+assumes: Uniform Gravitational Acceleration

Free Fall Equation (Vacuum) (Q3794): Difference between revisions

T4schmidt (talk | contribs)

$v (t) = v_{0} - g t$

$\begin{matrix} v (t) & = v_{0} - g t \\ y (t) & = y_{0} + v_{0} t - \frac{1}{2} g t^{2} \end{matrix}$

$v_{0}$

$g$

$y$

$y_{0}$

Latest revision as of 13:33, 3 December 2024

Statements

Identifiers

Sitelinks

mathematics(0 entries)

Free Fall Equation (Vacuum) (Q3794): Difference between revisions

T4schmidt (talk | contribs)

v(t)=v0−gt

v(t)=v0−gty(t)=y0+v0t−12gt2

v0

g

y

y0

Latest revision as of 13:33, 3 December 2024

Statements

Identifiers

Sitelinks

mathematics(0 entries)

$v (t) = v_{0} - g t$

$\begin{matrix} v (t) & = v_{0} - g t \\ y (t) & = y_{0} + v_{0} t - \frac{1}{2} g t^{2} \end{matrix}$

$v_{0}$

$g$

$y$

$y_{0}$