Time taken for free falling objects to travel a set distance

  • #1
The time taken for a free-falling object to fall a set distance (on earth) is, according to Wikipedia, described by the equation:

t = √(2d/g).

Why is the distance doubled in this equation/ how is this derived?
 

Answers and Replies

  • #2
944
394
Do you know any of the standard kinematics equations for a constant acceleration?
 
  • #3
K = 1/2mv2?
 
  • #6
PeroK
Science Advisor
Homework Helper
Insights Author
Gold Member
2021 Award
21,924
13,261
Sorry for my ignorance.

Have you just picked up this formula from Wikipedia without any prior knowledge or are you learning some physics/kinematics?
 
  • #7
I am interested in orbital mechanics etc. I have a suitable understanding of physics and kinematics and the formulae associated with gravity. I tried to derive the formula from my own knowledge, but failed.
 
  • #8
PeroK
Science Advisor
Homework Helper
Insights Author
Gold Member
2021 Award
21,924
13,261
I am interested in orbital mechanics etc. I have a suitable understanding of physics and kinematics and the formulae associated with gravity. I tried to derive the formula from my own knowledge, but failed.

You've never seen the equation ##s = \frac{1}{2}at^2## then?
 
  • #10
You've never seen the equation ##s = \frac{1}{2}at^2## then?
Is that what it's derived from?
 
  • #11
PeroK
Science Advisor
Homework Helper
Insights Author
Gold Member
2021 Award
21,924
13,261
Is that what it's derived from?

Yes, you could google for SUVAT or "kinematics". Or, try this:

http://www.examsolutions.net/maths-revision/mechanics/kinematics/suvat/derivation/tutorial-1.php [Broken]
 
Last edited by a moderator:
  • #12
Yes, you could google for SUVAT or "kinematics". Or, try this:

http://www.examsolutions.net/maths-revision/mechanics/kinematics/suvat/derivation/tutorial-1.php [Broken]
Thank You
 
Last edited by a moderator:

Related Threads on Time taken for free falling objects to travel a set distance

Replies
8
Views
1K
  • Last Post
Replies
4
Views
7K
Replies
4
Views
10K
  • Last Post
Replies
16
Views
5K
Replies
6
Views
3K
  • Last Post
Replies
9
Views
5K
Replies
2
Views
3K
Replies
4
Views
5K
Replies
2
Views
652
Top