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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

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
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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
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biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
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nano basically means 10^(-9). nanometer is a unit to measure length.
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it is a goid question and i want to know the answer as well
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characteristics of micro business
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for teaching engĺish at school how nano technology help us
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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
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
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.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
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for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
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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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