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

Latest revision as of 14:33, 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{aligned}v(t)&=v_{0}-gt\\y(t)&=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}\\\end{aligned}}

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

@@ Property / instance of / Property / instance of @@
-Q3832 (Deleted Item)
+mathematical expression
@@ Property / defining formula / Property / defining formula @@
- $v(t)=v_{0}-gt$ 
v(t)=v_0-gt
+ ${\begin{aligned}v(t)&=v_{0}-gt\\y(t)&=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}\\\end{aligned}}$ 
\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 / defining formula @@
- $y(t)=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}$ 
y(t)=y_0+v_0t-\frac{1}{2}gt^2
@@ Property / defining formula: $y(t)=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}$ / rank @@
-Normal rank
@@ Property / in defining formula: $t$ / qualifier @@
+symbol represents: time
@@ Property / in defining formula: $t$ / qualifier @@
-symbol represents: Q3846 (Deleted Item)
@@ 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

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

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

$y(t)=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}$

Latest revision as of 14:33, 3 December 2024

Statements

Identifiers

Sitelinks

mathematics(0 entries)

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

v ( t ) = v 0 − g t {\displaystyle v(t)=v_{0}-gt}

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

y ( t ) = y 0 + v 0 t − 1 2 g t 2 {\displaystyle y(t)=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}}

Latest revision as of 14:33, 3 December 2024

Statements

Identifiers

Sitelinks

mathematics(0 entries)

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

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

$y(t)=y_{0}+v_{0}t-{\frac {1}{2}}gt^{2}$