# 2.6 Game 2302-0360 motion -- displacement and vectors  (Page 2/11)

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Displacement

If one body is moved with respect to another body, either one of them may be said to have experienced a displacement .

Displacement, along with vector analysis will be the primary topics covered in this module.

## Displacement

As mentioned above, if one body is moved with respect to another body, either one of them may be said to have experienced a displacement .

Displacement is not the same as distance

Assume, for example, that you go to the local high school and run five laps around the track, stopping exactly where you started. The distance that you haverun will be the length of the path that you followed while running. However, while you may be completely out of breath by that point in time, the magnitudeof your displacement will have been zero.

Scalars versus vectors

Distance is a scalar quantity, while displacement is a vector quantity. Scalar quantities have only magnitude, such as three kilometers.

Vector quantities have two parts: magnitude and direction . For example, you might describe a vector quantity as having a magnitude of three kilometers and adirection of northwest.

Magnitude and direction

A displacement vector must have both magnitude and direction. For example, if you were to run about three-fourths of the way around the track, the distancethat you ran would be the length of your path.

However, the magnitude of your displacement would be the straight-line distance from your starting point to your stopping point.

The direction of your displacement would be an angle measured between some reference (such as due east, for example) and an imaginary line connecting yourstarting point and your stopping point.

If you stop where you start...

Getting back to the original proposition, if your stopping point is exactly the same as your starting point, the magnitude of your displacement vector willbe zero and the angle of your displacement vector will be indeterminate.

Vector notation

Assume that there are three spots marked on the top of a table as A, B, and C. If an object is moved from A to B and then from B to C, using vectors, it maybe stated that:

vecAC = vecAB + vecBC

where vecAB, vecBC, and vecAC represent vectors.

Typical notation

A typical notation for a vector in a physics textbook is something like AB, possibly in boldface and/or italics, with a small arrow drawn above the twoletters. However, there is no such small arrow on a QWERTY keyboard, making it very difficult for me to reproduce in these modules.

My alternative notation

Therefore, in these physics modules, I will use the following notation

vecAB

to indicate a vector extending from the spot labeled A to the spot labeled B.

In order to determine direction in an unambiguous way, you often need to know where the vector starts (the tail) and where it ends (the head). The notation used aboveindicates that the tail of the vector is at A and the head is at B.

In some cases, particularly in JavaScript code where a vector is defined by magnitude and direction instead of by a starting point and an ending point, Iwill refer to a vector simply as

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Veysel
technologist's thinker father is Richard Feynman but the literature first user scientist Nario Tagunichi.
Veysel
Norio Taniguchi
puvananathan
Interesting
Andr
I need help
Richard
anyone have book of Abdel Salam Hamdy Makhlouf book in pdf Fundamentals of Nanoparticles: Classifications, Synthesis
what happen with The nano material on The deep space.?
It could change the whole space science.
puvananathan
the characteristics of nano materials can be studied by solving which equation?
sibaram
synthesis of nano materials by chemical reaction taking place in aqueous solvents under high temperature and pressure is call?
sibaram
hydrothermal synthesis
ISHFAQ
how can chip be made from sand
is this allso about nanoscale material
Almas
are nano particles real
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
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Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
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Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
STM - Scanning Tunneling Microscope.
puvananathan
how did you get the value of 2000N.What calculations are needed to arrive at it
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