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Calculus - Position Average Velocity Acceleration - Distance & Displacement - Derivatives & Limits 

The Organic Chemistry Tutor
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This calculus video tutorial explains the concepts behind position, velocity, acceleration, distance, and displacement, It shows you how to calculate the velocity function using derivatives and limits plus it contains plenty of notes, equations / formulas, examples, and particle motion practice problems for you to master the concept.
Here is a list of topics:
1. The position function - S(t) - Calculating the total distance traveled and the net displacement of a particle using a number line.
2. Average velocity vs Instantaneous Velocity - Equations / Formulas
3. Slope of the secant line vs Slope of the tangent line
4. Average rate of change vs Instantaneous Rate of Change
5. How to tell if a particle is moving to the right, left, at rest, or changing direction using the velocity function v(t)
6. Average acceleration vs Instantaneous Acceleration
7. Acceleration is positive when velocity is increasing
8. Acceleration is negative when velocity is decreasing
9. Acceleration is zero at constant velocity or constant speed
10. Instantaneous Speed is the absolute value of velocity
11. Vectors - Magnitude & direction - displacement, velocity and acceleration
12. Scalar Quantities - Speed and Distance
13. Average Speed is total distance divide by change in time
14. Average velocity is displacement divided by time
15. Number line and interval notation
16. The particle is moving to the right when the velocity is positive
17. The particle is moving to the left when velocity is negative.
18. The particle is at rest or changing direction when velocity is zero.
19. How to calculate instantaneous speed and velocity
20. How estimate instantaneous velocity for data tables using average velocity
21. How to find the intervals when the particle is moving to the right, left, or is at rest
22. Intervals when velocity is increasing or decreasing
23. How to find the intervals when the particle is speeding up or slowing down using a sign chart of acceleration and velocity
24. Calculating distance and displacement from the position function s(t)
25. Interval Notation - Brackets vs Parentheses
26. Derivative of position is velocity
27. Derivative of velocity is acceleration
28. calculating the velocity function using the definition of the derivative equation or the limit process / difference quotient
29. Calculating the instantaneous rate of change / slope of the tangent line

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11 сен 2024

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Комментарии : 115   
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 8 месяцев назад
Final Exams and Video Playlists: www.video-tutor.net/
@ksfishchannel
@ksfishchannel 5 лет назад
I'm pledging 25% of my first year engineering salary to you when I graduate. You're literally the only way I understand any of this stuff and pass my classes
@redmen2822
@redmen2822 5 лет назад
Do it, you won't
@davidarevalo1925
@davidarevalo1925 4 года назад
How kind
@Coreyahno
@Coreyahno 4 года назад
No you’re not
@simoneangelov6950
@simoneangelov6950 4 года назад
@@Coreyahno chill its a joke
@marvet9573
@marvet9573 2 года назад
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@idc20627
@idc20627 2 года назад
YOUR CONTRIBUTION TO HUMANITY FAR SURPASSES THAT OF WHAT MOST PEOPLE HAVE GIVEN. I CAN'T FATHOM THE AMOUNT OF HUMANS YOU'VE HELPED WITH ASSIGNMENTS, TEST, PROJECTS AND I BET EVEN JOBS! THANK YOU FROM THE BOTTOM OF MY HEART FOR YOUR HELP AND A REALLY REALLY WIDE RANGE OF TOPICS! GOD I WISH YOU DID COMPUTER SCIENCE TOO!
@sagegeorge7770
@sagegeorge7770 Год назад
He has some I've seen for at least digital logic. But I've only seen the basics.
@wat4504
@wat4504 4 месяца назад
bro's mad glazing quit overreacting
@mapotofu5550
@mapotofu5550 6 лет назад
You're my new teacher. Calc teacher at school hardly teaches
@nicholasquinn461
@nicholasquinn461 7 месяцев назад
Yo are u in my calc class or smt? 😅
@nonexistent2335
@nonexistent2335 7 месяцев назад
@@nicholasquinn461 right my teacher overcomplicates things
@barbecuesauceeyebrows8254
@barbecuesauceeyebrows8254 4 года назад
You’re legendary. I don’t go to anyone else anymore for calc help. I appreciate how thoroughly you review each topic, so by the end of each video I feel like I really understand the concept.
@alassanetoure8894
@alassanetoure8894 4 года назад
JG, you should be given the title of the Nobel Prize of teaching. for the simple reason You are educating so many in the world to understand some easy way material I consider very important to Science. You are the best on RU-vid.
@yashmehta3259
@yashmehta3259 4 года назад
Every other person would get a noble prize then. SHIT logic but yeah he is a great teacher no denying that.
@sean2620
@sean2620 8 месяцев назад
@@yashmehta3259it’s an exaggeration. calm down geez
@TNG205
@TNG205 3 года назад
You are the best for life! On a serious note, you deserve a special award. I believe one day I will shake your hands sir. "In this video ,we...." That introduction melts my heart.
@beoptimistic5853
@beoptimistic5853 3 года назад
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@vgreenhalgh4499
@vgreenhalgh4499 6 лет назад
Wrting a thesis on particle motion related to sound under water.. ths has defnatley helped a bran straned biologist gan a clearer vson on some of the hectic equatons have been working with .. Thank you so much. Wonderfully clear and fully explained. You are a star.
@michelletan4249
@michelletan4249 4 года назад
I even don't know the professor name, but he is the best best instuctor I ever had. He explain so well. help me deeply understand the concept! thank you all you done for us!
@chasecieslar3785
@chasecieslar3785 4 года назад
Careful, he’s a hero
@wasntblessedwithone7488
@wasntblessedwithone7488 5 лет назад
1:09:27 "the only issue, is, I need more space" looooooooool
@fatmasaid9313
@fatmasaid9313 2 года назад
I like the way u organise your work starting from the simplest to more abstract giving one a chance to understand organisely every detail u r simply the best
@Grummpyro
@Grummpyro 8 лет назад
I have a quiz tommow and these detailed videos really help, thank you
@aykals1515
@aykals1515 2 года назад
Funny how I’ve a quiz 4 years later tmm
@carloskruut423
@carloskruut423 Год назад
@@aykals1515 funny how I have a quiz 6 years later tomorrow
@BakkaChi
@BakkaChi 2 года назад
I love you. Ive learned more about chemistry, physcis and math than any professor in university has ever taught me by just watching your vids. Im truly grateful
@TheObsidianSociety
@TheObsidianSociety 4 года назад
This literally put so much into perspective for me. You are AMAZING at teaching. You’re a hero!
@josefalagicere399
@josefalagicere399 8 лет назад
I love your channel so much, these videos are helping me with my studies so much....thank you
@nazius
@nazius 7 лет назад
THANK YOU FOR MAKING THIS VIDEO!!!! EVERYTHING IS SO CLEAR AND PRECISE WITH EXAMPLES!
@josephkasmith8564
@josephkasmith8564 6 лет назад
Organic chemistry, I love you so much for opening my mind to these things
@elhbailodiallo2629
@elhbailodiallo2629 6 лет назад
hey whoever you are thank you very much for saving my ass from having zero in my next test. thank you
@boxslam5795
@boxslam5795 6 месяцев назад
You are a great teacher man
@dogwaterhumanrights4288
@dogwaterhumanrights4288 2 года назад
42:40 i good way to imagine it is a tug of war, acceleration is signifying which side is adding power (negative is left team adding power and positive is right) and velocity is which way the rope is going, it made visualising that chart way easier
@etimaaffiah
@etimaaffiah 2 года назад
He's the best tutor I've ever seen on RU-vid God bless you Sir, you're saving lives out here😩😩
@allesvergaengliche
@allesvergaengliche 2 года назад
you’re the man for making these videos. big help. thanks!
@manulyagunasekera4622
@manulyagunasekera4622 4 года назад
this literally saved my life thank you!
@AidanMcGhie
@AidanMcGhie 4 года назад
OMG Thank you thank you thank you !!! I have my final yr 11 exam in a couple of days this really helped!!!
@zaydshah8248
@zaydshah8248 4 года назад
thank you so much you have saved me from failing all my classes
@ethanconstantino5774
@ethanconstantino5774 3 года назад
Thank you for this tutor for helping me survive in my first sem in engineering. " Hope i will graduate" ;(
@beoptimistic5853
@beoptimistic5853 3 года назад
ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-fRyUf-GY754.html
@killab5952
@killab5952 Год назад
How is it going right now? Are you doing good?
@B2-eg1zf
@B2-eg1zf Год назад
U must have had a good teacher in your life, Mr Tutor
@zakariachahiedine6761
@zakariachahiedine6761 6 лет назад
very good review after hammering so much integral calculus
@angelryan9710
@angelryan9710 2 года назад
Oni chan your better than my math teacher I amazed at you thank you very much 😭😘😂
@VictoriaSarfo-tl9zz
@VictoriaSarfo-tl9zz 11 месяцев назад
Thanks Boss 😊😊😊
@michaelsitoy9300
@michaelsitoy9300 2 года назад
Better than my 1st year calc teacher❤️❤️❤️
@Leadership_matters
@Leadership_matters Год назад
I had to come back after 20 years ...oops... 27 years... And get a refresher. This was better than my professors by miles. And I could watch it with a beer in my hand in my own living room!
@yassermeguid6499
@yassermeguid6499 Год назад
why did you chose the instantaneous acceleration at v(4) not v(3) as it is more close to the average acceleration = 3.23 ? example at time @1:06:01
@theblinkingbrownie4654
@theblinkingbrownie4654 3 года назад
you say that distance is the sum of all the absolute changes but displacement is the difference between the final and initial positions, if velocity is displacement over time and speed distance over time isn't velocity and speed vastly different from each other than just velocity being speed with direction?
@elle9762
@elle9762 2 года назад
thank you daddy ❤
@PhilemonEmeka
@PhilemonEmeka 2 года назад
Short of words..🙌🙌🙌❤️
@halilhamscho1984
@halilhamscho1984 3 года назад
You are an absolute legend
@virgokite
@virgokite 6 лет назад
Thank u so much!!! Worth the time!
@robobillgr
@robobillgr Год назад
Hello, what software / program are you using? I am interested in making that kind of videos about energy sector.
@kurdistanhomeschool4471
@kurdistanhomeschool4471 4 года назад
Thanks alot
@olivialoris4841
@olivialoris4841 Год назад
How do you find the velocity and acceleration without a given time interval?
@user-nu4ng4xu6l
@user-nu4ng4xu6l Год назад
you can't cuz velocity and acceleration are measured with time
@thisisvibez4114
@thisisvibez4114 3 года назад
I love your content forever
@loomblack3811
@loomblack3811 7 лет назад
your the best
@anilsharma-ev2my
@anilsharma-ev2my 3 года назад
If displacement and mass is given so how we determined impulsive formula force ??
@yenusent9305
@yenusent9305 3 года назад
amazing
@muniradanish8510
@muniradanish8510 3 года назад
Thank you very much
@ariclenescorreia6048
@ariclenescorreia6048 5 лет назад
Simply awesome
@focus0100
@focus0100 2 года назад
Thanks so much!!!!
@dunaldcar3705
@dunaldcar3705 4 года назад
How did he know to use 1 and 3 in the second question to find total distance
@killab5952
@killab5952 Год назад
Thank you sir
@zavemak1198
@zavemak1198 3 года назад
thank you!
@zohaibhassan9789
@zohaibhassan9789 4 года назад
Awesome. Which writing software do you use?
@zahara3070
@zahara3070 6 лет назад
how do you find the average velocity at 3 points in an interval?!
@rudrakshagarwal5617
@rudrakshagarwal5617 3 года назад
Thank you for this topic.....but I have a question.....why is an organic chem teacher teaching calculus😂? Anyway...good effort👍
@rubenjeffrey4902
@rubenjeffrey4902 2 года назад
I believe he graduated a chem engineer so he Knows everything under the Sun
@mustafajamil3386
@mustafajamil3386 2 года назад
Thanks
@C.O.F.F.E.E.M.U.G
@C.O.F.F.E.E.M.U.G 3 месяца назад
calc final in a couple of hrs and I have no idea wat this is
@pretzelbird965
@pretzelbird965 3 года назад
27:57 bookmark
@animeshortsstatus7997
@animeshortsstatus7997 Год назад
Oh well I am a student currently studying in class 11 and it's crazy that most of the people here are either pursuing engineering or something else but it's crazy how India I making education tougher every year😂
@SomuaSomua
@SomuaSomua Год назад
Doing it for physics we have a problem for it I knew the stuff for position and velocity but I think I’m doing a part of velocity wrong since I keep getting velocity wrong
@turtlehuman4664
@turtlehuman4664 3 года назад
Love you!
@TheAbyssalEnderling
@TheAbyssalEnderling 2 месяца назад
Me: (sees this) Also me: Screw it, I'm bored. (Watches video)
@only1rooster69
@only1rooster69 2 года назад
34:08
@galiamelon
@galiamelon 4 года назад
anyone else here the day before the ap calc exam?
@dj-mh5se
@dj-mh5se 4 года назад
Meeeeee
@vladb420
@vladb420 2 года назад
Please wish me good luck on my exam! I need 20/50 to pass for the year i have 22/100 at atm
@vladb420
@vladb420 2 года назад
i got 22/50 !
@roxys6562
@roxys6562 2 года назад
@@vladb420 congrats!
@zakariachahiedine6761
@zakariachahiedine6761 6 лет назад
i love you
@milocbc
@milocbc 4 года назад
15:00
@Enrommie
@Enrommie 8 месяцев назад
Come on twink man teach me !! SAVE MEEE
@studymode5899
@studymode5899 7 лет назад
can u make vdeo last 10 min or something. 1h is too long and too sleepy to go with
@TechnoDB
@TechnoDB 6 лет назад
Study Mode : ya. 😂 :P
@battleaxesam6042
@battleaxesam6042 6 лет назад
no..this is just perfect
@hello_dayana
@hello_dayana 5 лет назад
Watch the other calc tutorials
@rip3299
@rip3299 5 лет назад
my dude if you're trying to learn a big part of calc in ten min, then you're set up for failure. even professors don't teach this stuff in an hour. not tryna be mean just being honest
@TNG205
@TNG205 3 года назад
You are not serious.
@raydonmuregi132
@raydonmuregi132 Год назад
Dear RU-vid. I've already bought mint mobile. Get the ad out my f* face.
@rei-qq4uf
@rei-qq4uf Год назад
42:40 i good way to imagine it is a tug of war, acceleration is signifying which side is adding power (negative is left team adding power and positive is right) and velocity is which way the rope is going, it made visualising that chart way easier
@ariannecelicaconsul2020
@ariannecelicaconsul2020 4 года назад
thank you so much!!
@jaspersaffa4560
@jaspersaffa4560 7 лет назад
Thank you so much
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