| Topic: |
Science > Physics |
| User: |
"Don1" |
| Date: |
11 Sep 2005 08:02:34 AM |
| Object: |
s=(g/2)t^2 |
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
.
|
|
| User: "Herman Trivilino" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 08:33:38 AM |
|
|
"Don1" <dcshead@charter.net> wrote ...
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
That equation captures the formulation developed by Galileo. It only works,
though, for an object released from rest.
When we measure the distance travelled by objects in free fall the distance
they travel is NOT, in general, equal to (g/2)tē.
Your meanings may satisfy you in some philosophical way, but since they
don't produce results that match what's observed, they don't make good
physics.
----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==----
http://www.newsfeeds.com The #1 Newsgroup Service in the World! 120,000+ Newsgroups
----= East and West-Coast Server Farms - Total Privacy via Encryption =----
.
|
|
|
| User: "The Ghost In The Machine" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 12:00:03 PM |
|
|
In sci.math, Herman Trivilino
<physhead@kingwoodREMOVECAPScable.com>
wrote
on Sun, 11 Sep 2005 08:33:38 -0500
<1126445769_9837@spool6-east.superfeed.net>:
"Don1" <dcshead@charter.net> wrote ...
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
That equation captures the formulation developed by Galileo. It only works,
though, for an object released from rest.
When we measure the distance travelled by objects in free fall the distance
they travel is NOT, in general, equal to (g/2)tē.
It doesn't take much to fix it up a bit, though.
x = vx_0 * t
y = -(g/2)t^2 + vy_0 * t + y_0
Admittedly, this equation neglects air resistance and only
really works on a mid scale (for larger scales one has
to use things such as Keplerian orbits, SR, and GR; for
smaller scales one uses QM). Of ocurse the distance is
a little harder to calculate as vy = vy_0 - g * t flips
sign at t = vy_0 / g, and the x component makes life
interesting. :-)
It's reasonably good for thrown baseballs and car stunts, though.
Not sure regarding such things as ICBMs.
Your meanings may satisfy you in some philosophical way, but since they
don't produce results that match what's observed, they don't make good
physics.
----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==----
http://www.newsfeeds.com The #1 Newsgroup Service in the World! 120,000+ Newsgroups
----= East and West-Coast Server Farms - Total Privacy via Encryption =----
--
#191,
It's still legal to go .sigless.
.
|
|
|
|
|
| User: "odin" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 10:14:44 AM |
|
|
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Nope.
It would only be true of the gravitational force was constant. The force
varies inversely proportional to the square of the separation (see Newton's
law of universal gravitation).
It would only be true if the mass was constant. But mass depends on
velocity. (see Einstein's relativity)
It would only be true if the initial velocity was zero of the falling object
was zero. (see the orbiting moon)
And one more thought... who gives a flying ***** what you think about this or
any other topic?
.
|
|
|
| User: "Don1" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 12:41:07 PM |
|
|
odin wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Nope.
It would only be true of the gravitational force was constant. The force
varies inversely proportional to the square of the separation (see Newton's
law of universal gravitation).
It would only be true if the mass was constant. But mass depends on
velocity. (see Einstein's relativity)
It would only be true if the initial velocity was zero of the falling object
was zero. (see the orbiting moon)
And one more thought... who gives a flying ***** what you think about this or
any other topic?
U do; but your too dumb to know it yet.
Don
.
|
|
|
|
|
| User: "Sam Wormley" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 08:09:07 AM |
|
|
Don1 wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Really?
.
|
|
|
| User: "" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 08:21:07 AM |
|
|
Pecans are a good source of polyunsaturated oil. Really!
"This sentence is not false."
- Epimenides' Aggie brother.
.
|
|
|
|
| User: "Sam Wormley" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 08:19:46 AM |
|
|
Sam Wormley wrote:
Don1 wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Really?
Shead, I would be curious to know if you derived Galileo's equation
from you studies of physics, or if you found it in a textbook or
or on the internet?
http://www.iit.edu/~smart/martcar/lesson2/lesson2.htm
http://www.museum.vic.gov.au/scidiscovery/gravity/galileo.asp
.
|
|
|
| User: "Don1" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 08:44:28 AM |
|
|
Sam Wormley wrote:
Sam Wormley wrote:
Don1 wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Really?
Shead, I would be curious to know if you derived Galileo's equation
from you studies of physics, or if you found it in a textbook or
or on the internet?
http://www.iit.edu/~smart/martcar/lesson2/lesson2.htm
http://www.museum.vic.gov.au/scidiscovery/gravity/galileo.asp
I'll fess-up Sammy: I actually copied it from your Wikipedia. Except I
use s for forced displacement, l for inertial displacement, and d for
the resultant displacement, the displacement that we SEE; which is the
algebraic sum of l, and s.
Don
.
|
|
|
| User: "Sam Wormley" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 11:24:58 AM |
|
|
Don1 wrote:
Sam Wormley wrote:
Sam Wormley wrote:
Don1 wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Really?
Shead, I would be curious to know if you derived Galileo's equation
from you studies of physics, or if you found it in a textbook or
or on the internet?
http://www.iit.edu/~smart/martcar/lesson2/lesson2.htm
http://www.museum.vic.gov.au/scidiscovery/gravity/galileo.asp
I'll fess-up Sammy: I actually copied it from your Wikipedia. Except I
use s for forced displacement, l for inertial displacement, and d for
the resultant displacement, the displacement that we SEE; which is the
algebraic sum of l, and s.
Don
Thanks.
.
|
|
|
|
|
|
|
| User: "Schoenfeld" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 09:57:10 AM |
|
|
Don1 wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Use the full Mclaurin series expansion of displacement and you get:
s(t) = SUM{n=0}^+inf s^n(0) t^n / n!
Under a uniform acceleration s^n(t) = 0 for all n > 2, reducing to:
s(t) = s(0) + v(0)t + 1/2 a(0)t^2
.
|
|
|
|
| User: "Gregory L. Hansen" |
|
| Title: Re: s=(g/2)t^2 |
11 Sep 2005 10:10:36 PM |
|
|
In article <1126443754.003535.119170@g43g2000cwa.googlegroups.com>,
Don1 <dcshead@charter.net> wrote:
Galileo was the first to demonstrate and then formulate the equation
for the distance s traveled by a falling object under the influence of
gravity for a time t:
s=(g/2)t^2
Beer was brewed by the Sumerians 5000 years ago. But the use of hops, and
the second fermentation that makes it fizzy, are relatively recent
innovations.
--
"It is the weak who are cruel. Gentleness can only be expected from the
strong." -- Leo Roskin
.
|
|
|
|
|
