<< Chapter < Page Chapter >> Page >

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

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!





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
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Game 2302 - mathematical applications for game development' conversation and receive update notifications?

Ask