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The purpose of this module is to explain uniform velocity and relative velocity.

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This module is part of a series of modules designed for teaching the physics component of GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX. (See GAME 2302-0100: Introduction for the first module in the course along with a description of the course,course resources, homework assignments, etc.)

The purpose of this module is to explain uniform velocity and relative velocity.

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I recommend that you open another copy of this document in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.


  • Figure 1 . Screen output for Listing #1.
  • Figure 2 . Vector diagram for the hockey puck.
  • Figure 3 . Screen output for Listing #2.
  • Figure 4 . Vector diagram for a man on a train.
  • Figure 5 . Screen output for Listing #3.
  • Figure 6 . Another vector diagram for a man on a train
  • Figure 7 . Screen output for Exercise #2 for a man on a train.
  • Figure 8 . Vector diagram for man on aircraft carrier.
  • Figure 9 . Screen output for Listing #4.


  • Listing 1 . A simple exercise on uniform velocity.
  • Listing 2 . An exercise on average velocity.
  • Listing 3 . Exercise #1 for a man on a train.
  • Listing 4 . An exercise with three vectors in a plane.

General background information

What is velocity?

Velocity is the time rate of change of position . Since displacement is the change of position, velocity is also the rate of displacement . Since displacement is a vector quantity, velocity is also a vector quantity -- it hasmagnitude and direction.

An airplane may traverse 350 miles in a northeasterly direction in one hour. This statement describes a vector quantity (velocity) because it has bothmagnitude and direction.

The same airplane may traverse 350 miles in a southwesterly direction in one hour. This statement describes a different velocity. Even though the magnitudeis the same in both cases, the direction is different. Hence, the velocity is different.

What is speed?

Speed is distance covered in a unit of time without reference to direction. Since there is no reference to direction, speed is a scalar quantity.

A car may traverse 60 miles in one hour. An airplane may traverse 350 miles in one hour. An excellent runner may traverse one mile in three minutes. All ofthese statements describe scalar quantities (speed) since there is no reference to direction.

A person in a seat on a Ferris wheel may travel around the axle in the center of the wheel at a constant rotational speed. However, that person's velocity is notconstant. The velocity is continually changing because the direction of motion is continually changing.

Questions & Answers

How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
how can I make nanorobot?
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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