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Vectors

Vectors - Physics Forum

Vectors - Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.


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  #1  
Old 12-20-2004, 01:06 AM
Don. Shead a'course
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Default Vectors



Straight line vectors are useful in statics: Where their lengths depict
the magnitude of forces acting at points, and the arrowheads depict
their directions.

Only one straight line vector is really useful in dynamics, where its
length depicts the initial [ reference] velocity at the start of a
problem, and the arrowhead depicts the direction.

This vector serves as an initial _reference_ velocity; from which all
_changes in velocity_ [s] - changes in speed and/or direction -
proceed; in proportion to, and in the direction of the thrust [f]
acting to cause the change, proceed; so that the resultant motion that
we "see" is a combination of the initial velocity [vi] multiplied by
its duration [t], and the change in speed or direction [s]:

So that the resultant motion - that we "see" - is [d/t = vi*t + s]. The
resultant change in position - that we "see" - is [d = vi+s]. Where,
for linear motion, d may be a displacement [s] - an increase or
decrease in l, or a displacement in direction; numerically equal to the
magnitude of the thrust [f] causing it.

Newton et al depicted curved motion as a series of infinitesimal
straight lines, which led to the infinitesimal calculus; because it
wasn't known yet that curves consisted of elliptical and geodesic
curves:

Now we know that motion does not consist of infinitesimal straight
lines, because right off the bat, atmospheric friction begins slowing
it, and gravity begins deflecting it.

Gravitation is universal; there is no place where it can be escaped;
except in our imagination.

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  #2  
Old 12-20-2004, 01:45 AM
Double-A
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Don. Shead a'course wrote:

depict


Useful for drawing sketches of arrows flying through the air, too.
Double-A

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  #3  
Old 12-20-2004, 02:21 AM
ah
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Double-A wrote:

And weather patterns!
--
ah "People will do tomorrow what they did today
because that is what they did yesterday."
~Manoj Srivastava
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  #4  
Old 12-20-2004, 03:11 AM
Don. Shead a'course
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Naw. Arrows flying through the air start falling as soon as they leave
the bowstring. If they could be made to go fast enough, they'd fall
around the world.

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  #5  
Old 12-20-2004, 03:13 AM
Don. Shead a'course
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Default Vectors

Is anything more changable than the wind and the weather?

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  #6  
Old 12-20-2004, 03:16 AM
Double-A
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Don. Shead a'course wrote:

leave
Or fly over the edge, and be lost in space!

Double-A

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  #7  
Old 12-20-2004, 03:29 AM
ah
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Don. Shead a'course wrote:

Local politics?
--
ah "People will do tomorrow what they did today
because that is what they did yesterday."
~Manoj Srivastava
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  #8  
Old 12-20-2004, 03:30 AM
ah
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Double-A wrote:

What, again, is Earth's escape velocity?

7000mi/h?
--
ah "People will do tomorrow what they did today
because that is what they did yesterday."
~Manoj Srivastava
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  #9  
Old 12-20-2004, 03:37 AM
Gordon
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On Mon, 20 Dec 2004 03:30:27 GMT, ah <[Only registered users see links. ]> wrote:

Here's a reference;
[Only registered users see links. ]
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  #10  
Old 12-20-2004, 03:44 AM
Double-A
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ah wrote:
fall


More like 25,000 mph. Can you imagine the strength needed to pull back
the string on such a bow?

Double-A

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