# Motion In A Straight Line

## Introduction

This is the most common word we are using in our daily life, like we run, walk and ride a motor cycle. Vehicles like bus, planes, train carry peoples from one place to other. Birds are fling in sky, animals wandering in a jungle. In the above examples we can find that every object change its position with respect to time or object is moving from one place to other with time.

In this session we will study how to describe motion. There are different types of motion we have linear(rectilinear)motion, circular motion, vibration motion. In all these types of motion we have to take objects as point objects. That is size of the object should be small compare to the distance it moves in a given time.

## Position, Distance and Displacement

### Position

A bus is moving from A to B. Here A and B indicates the starting position and end position of a bus. To specify the position of an object, we needs reference point and a set of axes. So consider a rectangular coordinate system consisting of three perpendicular axes X, Y and Z axes.  The intersection point of all these three axes at origin (O) called reference point. The coordinates system along with time constitutes a frame of reference.

### Distance (Path length)

Let us take example that a train is moving along a straight line. Here we need only one axis to define how the train is changing the position from one place to other with time.

Above figure shows the motion of a train at different position at different instant of time.

O is the starting point of a train that is x=0 at t=0. Let A and B be the position of the train at different instant of time. Train moves from O to A.so distance traveled by the train is  OA=10m. That is actual path traveled by the train is called distance or path length. As the train moves further to B then total distance traveled is OA+AB=20m. Distance is a scalar quantity.

### Displacement

Shortest distance between two position of an object at a given time along particular direction or difference between the final and initial position of an object.

Let x1 and x2 be the position of an object at time t1 and t2.

If an object moving along the straight line covers equal distances in equal intervals of time is called uniform motion.

We can represent uniform motion of an object graphically by plotting a graph in which position along y-axis and time along x axis.

## Average speed and Average velocity

Total distance traveled by an object divided by total time taken is called average speed.

The SI unit of both average speed and average velocity is m/s or ms-1.

If an object moving along a straight line and in the same direction then magnitude of displacement is equal to the total path length. In such a case the magnitude of average velocity is equal to the average speed.

If an object moving along a straight line and during this motion suppose an object change its direction so that path length is greater than magnitude of displacement. In such a case speed is greater than the magnitude if velocity.

## Instantaneous velocity and instantaneous speed

In last topic average velocity  and average speed we understood how fast an object moving over a given time interval, but it doesn’t tells about how fast an object moving at different instant of time. For this we define a terms Instantaneous velocity and instantaneous speed.

Instantaneous velocity can be defined as the limiting value of average velocity as the time interval becomes infinitesimally small.

Above equation says the rate of change of position with respect to given instant of time.

Instantaneous speed at any instant is equal to the magnitude of instantaneous velocity at that instant.

## Acceleration

We know that all motor vehicles have a device called accelerator, which is mainly used to change the velocity. When an object moving along a straight line, the velocity in general changes with time. So rate of change of velocity is called acceleration.

The average acceleration is defined as the change of velocity divided by the time interval.

Recommended for you,

Hey, Now it is your time! Drop a comment if more details needed or if any update requires. Your comments are more valuable to improve our site to help others.

### 202 thoughts on “Motion In A Straight Line”

1. Thank you for some other informative website.
Where else may just I get that kind of info written in such an ideal means?

I have a project that I am just now operating on, and I have been on the
look out for such info.

2. Unquestionably believe that which you said.
Your favorite reason seemed to be on the internet the simplest
thing to be aware of. I say to you, I definitely get annoyed while people think about worries that
they just don’t know about. You managed to hit
the nail upon the top and also defined out the whole thing without having side-effects ,
people can take a signal. Will likely be back to get more.

Thanks

3. What’s Going down i’m new to this, I stumbled upon this I have found It absolutely useful and
it has helped me out loads. I hope to contribute & aid other users like its aided me.

Good job.

4. I think this is among the most important info for me.

on some general things, The site style is ideal, the articles
is really great : D. Good job, cheers

5. wonderful post, very informative. I wonder why the other experts of this sector do
not notice this. You must proceed your writing. I’m sure, you have a huge

6. It’s remarkable to pay a visit this web site and reading tthe
views of all colleagues concerning this paragraph, while I am also
keen of getting know-how.

7. Howdy! I know this is kinda off topic but I’d figured I’d ask.

Would you be interested in exchanging links or maybe guest authoring a blog article or vice-versa?
My site goes over a lot of the same subjects as yours and I think we
could greatly benefit from each other. If you happen to be interested feel free to shoot me an e-mail.
I look forward to hearing from you! Wonderful blog by
the way!

8. Hi! This post couldn’t be written any better! Reading through this
I will forward this post to him. Fairly certain he will have a good read.
Many thanks for sharing!

9. Definitely believe that which you said. Your favorite reason seemed to be on the internet the simplest thing to be aware of.

I say to you, I definitely get annoyed while people think about worries that they just do not know about.
You managed to hit the nail upon the top as well as defined out the whole thing without having side effect , people could take a signal.
Will likely be back to get more. Thanks

10. I know this if off topic but I’m looking into starting my
own blog and was wondering what all is needed to get setup?
I’m assuming having a blog like yours would cost a pretty penny?
I’m not very web savvy so I’m not 100% certain. Any recommendations
or advice would be greatly appreciated. Cheers

11. Write more, thats all I have to say. Literally, it seems as though you relied on the
video to make your point. You clearly know what youre talking about, why waste your intelligence on just posting videos to your blog when you could be giving us something

12. My developer is trying to persuade me to move to .net from PHP.

I have always disliked the idea because of the expenses.
But he’s tryiong none the less. I’ve been using Movable-type
on various websites for about a year and am nervous about switching to another platform.
I have heard very good things about blogengine.net.
Is there a way I can import all my wordpress posts into it?
Any kind of help would be really appreciated!

13. I was curious if you ever thought of changing the page layout of your site?
Its very well written; I love what youve got to say.

But maybe you could a little more in the way of content so people could connect with it better.
Youve got an awful lot of text for only having one or 2
images. Maybe you could space it out better?

14. You’re so interesting! I don’t think I’ve truly read through a single thing like that before.
So wonderful to find someone with genuine thoughts on this topic.
Seriously.. many thanks for starting this up.
This website is one thing that’s needed on the internet,
someone with a bit of originality!

15. After looking at a few of the blog posts on your web page,
I honestly appreciate your technique of writing a blog.
I added it to my bookmark website list and will
be checking back soon. Take a look at my website too and let
me know how you feel.

16. Yesterday, while I was at work, my sister stole my iPad and tested
to see if it can survive a 30 foot drop, just so she can be a youtube sensation. My
iPad is now broken and she has 83 views.

I know this is totally off topic but I had to share it with someone!

17. Hey there would you mind sharing which blog platform you’re using?
I’m planning to start my own blog soon but I’m having a tough time choosing between BlogEngine/Wordpress/B2evolution and Drupal.

The reason I ask is because your layout seems different then most blogs and I’m looking for something unique.
P.S Sorry for being off-topic but I had to

18. When someone writes an article he/she keeps the
thought of a user in his/her mind that how a user can know it.
So that’s why this post is outstdanding. Thanks!

19. Hello, I think your blog might be having browser compatibility issues.

When I look at your blog site in Ie, it looks fine but when opening in Internet Explorer, it has some overlapping.
I just wanted to give you a quick heads up! Other then that, awesome blog!

20. Whats up this is kinda of off topic but I was wanting to
know if blogs use WYSIWYG editors or if you have to manually code with HTML.
I’m starting a blog soon but have no coding skills so I wanted to get advice
from someone with experience. Any help would be greatly appreciated!

21. Howdy are using WordPress for your blog platform?

I’m new to the blog world but I’m trying to get started and set up my own. Do you require any html coding expertise to make your own blog?
Any help would be really appreciated!

22. Greate post. Keep writing such kind of info on your blog.
Im really impressed by your blog.
Hey there, You’ve done an excellent job. I will definitely
digg it and in my opinion recommend to my friends. I’m sure they will be benefited from this website.

23. You actually make it appear really easy along with your presentation but
I to find this topic to be really one thing that I feel I might by no means understand.
It sort of feels too complicated and extremely large
for me. I’m taking a look ahead in your next publish, I’ll attempt
to get the cling of it!

24. I think this is one of the most vital info for me. And i am glad reading your article.

But wanna remark on some general things, The site style is ideal, the articles is really great : D.
Good job, cheers

I mean, what you say is valuable and everything. However think about if you added some great visuals or video clips to give your posts more, “pop”!
Your content is excellent but with pics and videos, this blog could undeniably be one of the most beneficial in its niche.
Wonderful blog!

26. Hi, i believe that i saw you visited my site so i got here
to return the want?.I’m trying to in finding issues
to enhance my website!I assume its ok to make use of some of your concepts!!

27. What i do not realize is in truth how you
are not actually much more neatly-liked than you may be right now.
You are so intelligent. You recognize thus considerably when it
comes to this subject, produced me for my part consider it
from a lot of various angles. Its like men and women are
not fascinated unless it is one thing to do with Lady gaga!
Your individual stuffs nice. All the time handle it up!

28. Thanks for ones marvelous posting! I quite enjoyed reading
it, you might be a great author. I will be sure to bookmark your blog
and will eventually come back at some point. I want
to encourage one to continue your great writing, have a nice day!

29. Howdy would you mind stating which blog platform you’re using?
I’m planning to start my own blog soon but I’m having a difficult time selecting between BlogEngine/Wordpress/B2evolution and Drupal.
The reason I ask is because your design seems different then most blogs and I’m looking for something completely unique.

30. Hmm it seems like your blog ate my first comment (it was extremely long) so I guess I’ll just sum it up what I wrote and say, I’m thoroughly enjoying your
blog. I as well am an aspiring blog blogger but I’m still new to everything.

Do you have any suggestions for newbie blog writers?

I’d definitely appreciate it.

31. Hey I know this is off topic but I was wondering if you knew of any widgets I could add
I’ve been looking for a plug-in like this for quite some time
and was hoping maybe you would have some experience with something like

32. Hello There. I found your blog using msn. This is a very well
written article. I’ll be sure to bookmark it and come back to read more of your useful information.
Thanks for the post. I’ll definitely return.

33. Please let me know if you’re looking for a
writer for your site. You have some really great posts
and I feel I would be a good asset. If you
Please shoot me an e-mail if interested. Cheers!

34. wonderful publish, very informative. I’m wondering why the other specialists of this sector do not understand this.

35. Its like you learn my mind! You seem to understand
a lot approximately this, such as you wrote the ebook in it or something.
I think that you simply can do with some % to pressure the message home a bit,
however instead of that, this is magnificent blog.
A great read. I will definitely be back.

36. Spot on with this write-up, I really believe this amazing site needs a lot more attention. I’ll probably be returning to read through more, thanks for the
information!

37. I was curious if you ever thought of changing the
layout of your blog? Its very well written; I love what youve got to say.
But maybe you could a little more in the way of content
so people could connect with it better. Youve got an awful
lot of text for only having 1 or 2 pictures. Maybe you could space it out better?

38. Have you ever thought about writing an e-book or guest authoring on other sites?
I have a blog centered on the same subjects you discuss and
would love to have you share some stories/information. I
know my visitors would appreciate your work. If
you’re even remotely interested, feel free to send me an e-mail.

39. I have been exploring for a little bit for any high-quality articles or blog posts in this sort of house .

Exploring in Yahoo I ultimately stumbled upon this web site.
Studying this info So i’m happy to show that I have a very good uncanny feeling I found out just what I needed.
I such a lot certainly will make sure to don?t omit this web site and provides it a look on a constant basis.

40. Does your website have a contact page? I’m having a tough time locating it but,
I’d like to send you an e-mail. I’ve got some ideas for your blog you might be interested
in hearing. Either way, great blog and I look forward
to seeing it improve over time.

somewhere? A theme like yours with a few simple
tweeks would really make my blog stand out. Please let me know where you got your
theme. Cheers

42. Hi, I do believe this is a great site. I stumbledupon it 😉 I
will come back yet again since I book-marked it.
Money and freedom is the greatest way to change, may you be rich and continue to guide
other people.

43. Someone essentially assist to make seriously articles
I’d state. This is the first time I frequented your web page and up to now?

I surprised with the research you made to create this particular publish amazing.
Excellent process!

44. Hi i am kavin, its my first occasion to commenting anywhere, when i read this piece of writing
i thought i could also make comment due to this brilliant paragraph.

suppose you added a little content? I am not suggesting your information isn’t good.,
but suppose you added a post title that makes people desire more?

I mean Motion In A Straight Line | ProtechBeach is kinda plain. You should glance at Yahoo’s home page and note
how they create news titles to grab people to open the links.
You might add a video or a related pic or two to grab people interested about everything’ve got to say.
Just my opinion, it might make your blog a little bit more interesting.

46. If some one desires expert view concerning blogging after that i suggest him/her to go to
see this weblog, Keep up the nice work.

47. I absolutely love your blog and find many of your
post’s to be exactly I’m looking for. Would you offer guest writers
to write content for you? I wouldn’t mind composing a post or elaborating on a lot of the subjects you write related to here.

Again, awesome website!

48. It is appropriate time to make a few plans for the future
and it is time to be happy. I’ve learn this put up and if I could I wish to counsel you some attention-grabbing things or advice.
I desire to learn even more things about it!

49. Hey there I am so glad I found your webpage, I really found
you by accident, while I was browsing on Yahoo for something else, Regardless I am here now and would just like to say many
thanks for a fantastic post and a all round exciting blog (I also love the theme/design), I don’t have time
to read through it all at the minute but I have saved it and also added your RSS feeds, so when I have time I will be back to read more,
Please do keep up the excellent job.

50. Very nice post. I just stumbled upon your blog and wished
to say that I’ve truly loved browsing your weblog posts.
I’m hoping you write again soon!

51. I’m not sure why but this weblog is loading very slow for me.
Is anyone else having this issue or is it a issue on my end?
I’ll check back later and see if the problem still exists.

52. Greetings! Quick question that’s completely off topic. Do you know how to
make your site mobile friendly? My blog looks weird when viewing
from my apple iphone. I’m trying to find a theme or plugin that might be able to
correct this problem. If you have any recommendations, please share.
Thank you!

53. Actually no matter if someone doesn’t understand
afterward its up to other viewers that they
will assist, so here it takes place.

54. Fine way of describing, and fastidious article to
get facts concerning my presentation focus, which i am going to present in college.

55. Your style is really unique compared to other people I’ve read stuff from.
Thank you for posting when you’ve got the opportunity, Guess I’ll just book mark this blog.

56. You’ve made some really good points there. I checked on the internet for additional information about the issue and found most people
will go along with your views on this web site.

newsletter service. Do you have any? Please allow me realize so that I may subscribe.
Thanks.

58. Hi, I do believe this is an excellent website.

I stumbledupon it 😉 I will come back yet again since I saved as a favorite
it. Money and freedom is the best way to change, may you be rich
and continue to help others.

59. It is the best time to make a few plans for the future and it
is time to be happy. I have learn this submit and if I may just I
desire to recommend you few attention-grabbing things or advice.
I want to learn even more issues approximately it!

60. Hey! I could have sworn I’ve been to this blog before but
after browsing through some of the post I
realized it’s new to me. Anyways, I’m definitely happy I found it
and I’ll be book-marking and checking back often!

61. Good day! I just would like to offer you a big thumbs up for your excellent info you have got here on this post.

I’ll be coming back to your website for more soon.

62. This piece of writing will help the internet people for setting up
new web site or even a blog from start to end.

63. Good web site you have here.. It’s difficult to find quality writing like yours nowadays.

I honestly appreciate people like you! Take care!!

64. I’m not that much of a online reader to be honest but your blogs
really nice, keep it up! I’ll go ahead and bookmark your site to come back later on. Many thanks

65. I do believe all the ideas you have presented to your post.

They are very convincing and can certainly work.
Nonetheless, the posts are too quick for starters.
May you please extend them a bit from next time?
Thank you for the post.

66. Oh my goodness! Awesome article dude! Thank you
I don’t understand the reason why I cannot subscribe to it.
Is there anybody else getting identical RSS issues? Anyone who knows the solution will
you kindly respond? Thanks!!

67. I was suggested this website by way of my cousin. I am now not sure whether or not this
put up is written via him as no one else know such certain about my trouble.
You are amazing! Thank you!

68. I loved as much as you’ll receive carried out
right here. The sketch is attractive, your authored subject matter stylish.
nonetheless, you command get got an nervousness over that you wish be delivering the following.
unwell unquestionably come more formerly again since exactly the same nearly very often inside case you shield this hike.

69. We are a gaggle of volunteers and starting a brand new scheme in our
community. Your website provided us with valuable info to work on. You have performed a formidable task and our entire group
will be grateful to you.

70. I just like the valuable info you provide to your articles.
I’ll bookmark your blog and test once more right here regularly.
I am moderately sure I’ll be told plenty of new stuff right right here!

Good luck for the following!

71. I know this if off topic but I’m looking into starting my own blog
and was wondering what all is needed to get setup?

I’m assuming having a blog like yours would cost a pretty penny?
I’m not very internet smart so I’m not 100% sure. Any tips or advice would be greatly
appreciated. Kudos

72. I got this web page from my buddy who shared with me about this web page and now this time I
am visiting this web page and reading very
informative content at this place.

73. Does your blog have a contact page? I’m having trouble locating it but, I’d like to send you an e-mail.
I’ve got some recommendations for your blog you might be interested in hearing.

Either way, great site and I look forward to seeing it expand over time.

74. Oh my goodness! Incredible article dude!
Thank you so much, However I am going through issues with your RSS.
I don’t know the reason why I cannot join it.
Is there anybody getting similar RSS problems? Anybody who knows
the solution can you kindly respond? Thanks!!

75. I was suggested this website by means of my cousin. I’m not sure whether this
put up is written via him as no one else recognize
such precise about my difficulty. You’re incredible! Thanks!

It’s the little changes that will make the most important changes.
Many thanks for sharing!

77. Admiring the time and effort you put into your site and in depth information you provide.
It’s nice to come across a blog every once in a while that isn’t the same outdated rehashed information. Great read!

78. After going over a handful of the blog articles on your blog, I truly appreciate your
way of blogging. I book marked it to my bookmark site list and will be checking back in the near future.

Please visit my website too and let me know how you feel.

79. I modeled nude for an physique drawing art course and was visibly erect for ten minutes.
Can be this frowned upon for. I could not help it.?
Provide it a rest, you have already been pretending you have already been posing for
times, surely right now you possess admitted to yourself that you will be as well scared to.

80. I think that is one of the so much vital info for me.

And i am happy studying your article. But want to remark on few general things, The website taste is wonderful, the articles is truly excellent :
D. Just right job, cheers

81. Hey, I think your website might be having browser compatibility issues.
When I look at your website in Opera, it looks fine but when opening in Internet Explorer, it
has some overlapping. I just wanted to give you a quick heads up!
Other then that, very good blog!

from somewhere? A theme like yours with a few simple adjustements would really
make my blog stand out. Please let me know where you got your design. Appreciate it

83. Greаt goods from you, man. I have ᥙnderstand your stuff pгevіous to andd you are
jjust too great. Ireally like what you have acquired here, certainly like whɑt you
aгe stating and the way in ᴡhich you say it. Yօu make it enjoyablе and
you stіll care for to keep it wіse. I сanht wait to гead much moｒe from you.
Thіs is really a trеmendous web site.

84. What’s up to every one, the contents existing at this web page are genuinely amazing for people knowledge, well, keep
up the good work fellows.

85. Hey would you mind letting me know which web host you’re using?
lot quicker then most. Can you recommend a good hosting provider at a fair price?
Many thanks, I appreciate it!

86. Hey therе this is ind of of off topіc but I was wanting
tto know if blogs uѕe WYSIWYG editors or if you have to manually code with HTML.
I’m starting a blog ѕoon but have no ϲoding knowledge so I wanted tօ get advice from someone with experience.
Any heⅼp would ƅe greatⅼy appreciated!

89. I have to thank you for the efforts you have put in writing this website. I am hoping to see the same high-grade blog posts by you later on as well. In fact, your creative writing abilities has inspired me to get my own blog now 😉

90. obviously like your web-site however you have to take a look
at the spelling on several of your posts. Several of them are rife with spelling problems and I find it very troublesome
to inform the reality however I will surely come again again.

91. Excellent post. I used to be checking continuously this blog and I’m impressed!
Very helpful information specially the ultimate part 🙂 I maintain such
information a lot. I was looking for this certain information for
a very long time. Thanks and best of luck.

92. An outstanding share! I’ve just forwarded this onto a coworker who was conducting a little research on this. And he in fact bought me breakfast because I discovered it for him… lol. So allow me to reword this…. Thank YOU for the meal!! But yeah, thanx for spending some time to talk about this subject here on your blog.

93. whoah this blog is great i love studying your posts. Stay up the great work!
You know, lots of people are looking around for this information,
you can aid them greatly.

94. Next time I read a blog, I hope that it doesn’t disappoint me just as much as this one. After all, I know it was my choice to read through, but I actually thought you’d have something helpful to say. All I hear is a bunch of whining about something you can fix if you weren’t too busy searching for attention.

95. I am not sure where you’re getting yur information,
but good topic. I neds to spewnd some time learning much
more or understanding more. Thanks for fantastic information I was looking for
this info for my mission.

96. Hmm it appears like your website ate my first comment (it was extremely long) so I guess I’ll just sum it up what I submitted and say, I’m thoroughly enjoying your blog.
I as well am an aspiring blog blogger but I’m still new to
everything. Do you have any suggestions for
beginner blog writers? I’d certainly appreciate it.

97. May I simply just say what a relief to fijnd somebody whoo truly understands what they’re discussing oon thee net.
Youu definitely know how to bring ann issue to light and make it
important. More and more people need to check this out
and understand this sie of the story. I can’t
believe you’re not more popular given that you certainly posesess the gift.

98. I do agree with all of the concepts you have introduced in your post.
They are very convincing and can definitely work.
Still, the posts are very quick for novices. Could you please extend them a
little from next time? Thank you for the post.

99. Having read this I thought it was really informative.

I appreciate you spending some time and effort to put this article together.
I once again find myself spending a lot of time
both reading and leaving comments. But so what, it was still worth it!

100. I’m really enjoying the theme/design of your site.
Do you ever run into any browser compatibility issues?
A few of my blog visitors have complained about my site not operating correctly in Explorer but looks great in Safari.
Do you have any tips to help fix this problem?

101. Hi would you mind stating which blog platform you’re using?
I’m planning to start my own blog soon but I’m having a difficult time choosing between BlogEngine/Wordpress/B2evolution and
seems different then most blogs and I’m looking for something completely unique.

102. Hey just wanted to give you a quick heads up. The text in your article seem
to be running off the screen in Ie. I’m not sure if this is a
formatting issue or something to do with web browser
compatibility but I thought I’d post to let you know. The design and style look great though!
Hope you get the problem fixed soon. Kudos

103. You could certainly see your enthusiasm in the article you write.
The sector hopes for more passionate writers such as you who aren’t afraid to mention how