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

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

Пікірлер: 115

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  • @theblinkingbrownie4654
    @theblinkingbrownie46543 жыл бұрын

    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?

  • @mustafajamil3386
    @mustafajamil33862 жыл бұрын

    Thanks

  • @anilsharma-ev2my
    @anilsharma-ev2my3 жыл бұрын

    If displacement and mass is given so how we determined impulsive formula force ??

  • @yassermeguid6499
    @yassermeguid6499 Жыл бұрын

    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

  • @zahara3070
    @zahara30705 жыл бұрын

    how do you find the average velocity at 3 points in an interval?!

  • @dunaldcar3705
    @dunaldcar37054 жыл бұрын

    How did he know to use 1 and 3 in the second question to find total distance

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    @zohaibhassan97894 жыл бұрын

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  • @olivialoris4841
    @olivialoris4841 Жыл бұрын

    How do you find the velocity and acceleration without a given time interval?

  • @user-nu4ng4xu6l

    @user-nu4ng4xu6l

    Жыл бұрын

    you can't cuz velocity and acceleration are measured with time

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    @elle97622 жыл бұрын

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    @pretzelbird9653 жыл бұрын

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    @rudrakshagarwal56173 жыл бұрын

    Thank you for this topic.....but I have a question.....why is an organic chem teacher teaching calculus😂? Anyway...good effort👍

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    @rubenjeffrey4902

    2 жыл бұрын

    I believe he graduated a chem engineer so he Knows everything under the Sun

  • @C.O.F.F.E.E.M.U.G
    @C.O.F.F.E.E.M.U.GАй бұрын

    calc final in a couple of hrs and I have no idea wat this is

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    Please wish me good luck on my exam! I need 20/50 to pass for the year i have 22/100 at atm

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    2 жыл бұрын

    i got 22/50 !

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    2 жыл бұрын

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  • @SomuaSomua

    @SomuaSomua

    9 ай бұрын

    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

  • @TheUltimateEnderling
    @TheUltimateEnderling13 күн бұрын

    Me: (sees this) Also me: Screw it, I'm bored. (Watches video)

  • @only1rooster69
    @only1rooster692 жыл бұрын

    34:08

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    i love you

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    @galiamelon4 жыл бұрын

    anyone else here the day before the ap calc exam?

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    4 жыл бұрын

    Meeeeee

  • @milocbc
    @milocbc3 жыл бұрын

    15:00

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    @Enrommie6 ай бұрын

    Come on twink man teach me !! SAVE MEEE

  • @studymode5899
    @studymode58996 жыл бұрын

    can u make vdeo last 10 min or something. 1h is too long and too sleepy to go with

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    @TechnoDB

    6 жыл бұрын

    Study Mode : ya. 😂 :P

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    @battleaxesam6042

    6 жыл бұрын

    no..this is just perfect

  • @hello_dayana

    @hello_dayana

    5 жыл бұрын

    Watch the other calc tutorials

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    @rip3299

    5 жыл бұрын

    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

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    3 жыл бұрын

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  • @rei-qq4uf
    @rei-qq4uf Жыл бұрын

    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