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Uniform velocity

Velocity is uniform when equal distances along a straight line are traversed in equal intervals of time. In this case

v = s/t

where

  • v is uniform velocity
  • s is the distance traveled (displacement)
  • t is an interval of time

What about the direction?

Because uniform velocity occurs along a straight line, the computations involving uniform velocity, distance, and time may notnecessarily include the direction of that straight line. However, since both displacement and velocityare vector quantities, it is understood that the direction of velocity is the same as the direction of the displacement.

On the other hand, as you will see later, when combining two or more uniform velocities into a single resultant velocity, the directions of thedifferent uniform velocities becomes extremely important.

Speed, distance, and time

Note also that this same equation can be applied to computations involving speed, distance, and time where

  • v represents speed and not velocity
  • s is the distance traveled (not necessarily in a straight line)
  • t is an interval of time

Units of velocity

The units of velocity are units of distance (such as meters) divided by units of time (such as seconds).

Discussion and sample code

A simple exercise on uniform velocity

Let's begin this section with a short exercise involving uniform velocity.

How long does it take an airplane traveling at a uniform velocity of 350 miles per hour to traverse a distance of 700 miles?

Please copy the code shown in Listing 1 into an html file and open the file in your browser.

Listing 1 . A simple exercise on uniform velocity.
<!---------------- File JavaScript01.html ---------------------><html><body><script language="JavaScript1.3">document.write("Start Script" + "<br/>") var velocity = 350;//uniform velocity in miles/hourvar distance = 700;//miles var time = distance/velocity;//miles/(miles/hour) = hoursdocument.write("uniform velocity = " + velocity + " miles/hour<br/>"); document.write("distance = " + distance + " miles<br/>"); document.write("time = " + time + " hours<br/>"); document.write("End Script")</script></body></html>

Screen output

The text shown in Figure 1 should appear in your browser window when you open the html file in your browser.

Figure 1 . Screen output for Listing #1.
Start Script speed = 350 miles/hourdistance = 700 miles time = 2 hoursEnd Script

Analysis of the code

The equation given earlier that shows the relationship among uniform velocity, distance, and time can be manipulated algebraically tofind any one of the three terms when the values of the other two terms are known. The objective in this exercise is to find the time required to traverse a known distance witha known uniform velocity.

Algebraic manipulation of the equation

Multiplying both sides of the equation by t and dividing both sides by v allows us to rewrite the equation as

t = s/ v

where

  • v is uniform velocity
  • s is the distance traveled
  • t is an interval of time

The solution to the problem is...

This version of the equation is used in Listing 1 to solve for the time required to traverse 700 miles at a uniform velocity of 350 miles/hour. Theanswer is 2 hours as shown in Figure 1 .

Questions & Answers

what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
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
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
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.
Bharti
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
Daniel
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
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
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
NANO
how can I make nanorobot?
Lily
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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.
Tarell
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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