Deriving displacement as a function of time, acceleration, and initial velocity | Khan Academy

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  • Опубликовано: 2 ноя 2024
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    Deriving displacement as a function of time, constant acceleration and initial velocity. Created by Sal Khan.
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Комментарии • 38

  • @kuni45
    @kuni45 13 лет назад +16

    THANK YOU FOR MAKING THIS VIDEO!!! My school board took deriving equations out of the curriculum and I always found that helped me really understand what these equations really do.

  • @thedogdogification
    @thedogdogification 4 года назад +5

    Sal, I love you. The origin of this equation has mystified me for years but with a single video you showed it's just a simple and straightforward derivation. I used to just memorize it but now I understand it.

  • @sansamman4619
    @sansamman4619 7 лет назад +7

    I love you so much i wish the whole world was smart like this community and amazing like these people !

  • @astianisolihah9752
    @astianisolihah9752 5 лет назад +2

    Thanks a lot Mr. Sal❤ You are like one of online tutor in Indonesia but much better and I could acces all your videos freely. I couldn't say a word for how much thankful I feel for finding your channel.

  • @ginayqx
    @ginayqx 13 лет назад +2

    you are seriously my life savor, i count on all your chemistry and math videos to pass my tests :)

  • @siddharthgupta8613
    @siddharthgupta8613 4 года назад +1

    The video is great and helpful but my teacher has another formula that also works: (vf )^2=(vi)^2 +2a*(change in displacement) and he said this equation id derived from the equation shown in the video.

  • @potatopepe8073
    @potatopepe8073 4 года назад +2

    Very helpfull. But whats that about a ball a ball in 0:05

  • @travelrj7015
    @travelrj7015 6 лет назад

    In this formula F=(G•(mass of earth)•(mass of object))/(radius of earth)² , if this is ture, then on moon same force will apply as on earth....

  • @TheStorminSpartan
    @TheStorminSpartan 11 лет назад +4

    Love it, and really was a great explanation.

  • @GonzaloBelascuen
    @GonzaloBelascuen 13 лет назад +2

    2400th VIDEO!! congratz!, you are amazing!

  • @plutodagon2385
    @plutodagon2385 4 года назад

    you can differentiate and integrate each of these to get from displacement to acceleration

  • @HotPepperLala
    @HotPepperLala 13 лет назад

    Please make some calculus-based physics!

  • @iamkarenhill
    @iamkarenhill 12 лет назад

    I hope this has parlayed into gabillions of dollars for you, you deserve it. My Universities owe you a cut. Many blessings to you and yours sir :0) My degree needs to say KU LOL

  • @salluc1712
    @salluc1712 3 года назад +1

    thank you

  • @dodger188
    @dodger188 10 лет назад +1

    If the acceleration wasn't constant but was a=Gm/r². So you would have acceleration as function of distance. How would you tell speed as function of time?
    If v=∫adt so speed would be Gm∫(1/r²)dt. Guess you need to tell distance as function of time to be able to integrate that, but how can you do it?

  • @grangertheweasely
    @grangertheweasely 12 лет назад +1

    i learnt it as s = ut + 1/2at^2

  • @awesomeguy970
    @awesomeguy970 8 лет назад +15

    9:07
    FOR HARAMBE

  • @jackysu1329
    @jackysu1329 4 года назад

    i didn't quite understand how he got 9.8m/s because I don't know numbers he used to calculate it.
    if you know pls tell me

  • @adithisathya4165
    @adithisathya4165 4 года назад

    thx

  • @tttuu3309
    @tttuu3309 11 лет назад +1

    merci!why y assum a constant acceleration?

  • @jackfromunboxtherapy7661
    @jackfromunboxtherapy7661 7 лет назад

    9:00 why didn't you divide delta t by 2 also?

  • @Peter_1986
    @Peter_1986 11 лет назад +1

    Talking down on basic physics doesn't make you look "smart", if that's what you want.
    Smart people respect the basics, because it's the basics that covers the most important stuff.

  • @KatySwiere
    @KatySwiere 9 лет назад

    wait how did he get vf= fi + a * delta time?

    • @thejpguy2792
      @thejpguy2792 8 лет назад +3

      If you are driving at a certain velocity, and you wish to change your velocity, you'll notice that you can't instantaneously do this. You must accelerate (for example when you get on the highway) or decelerate (when you have to stop for a red light).
      This acceleration (positive if you go faster, negative if you go slower) is given the letter 'a' and it depics the rate of change in velocity in a certain time. The time you take to accelerate from your initial velocity to your final velocity is the change in time between the moment you're driving at your initial speed and the moment you're driving at your final speed and is given the symbol 'delta t'.
      So when you accelerate (or decelerate) for a certain duration of time, your initial velocity will change until you reach your final velocity after that duration. And that's where the formula comes in.
      Initial Velocity + Acceleration * Duration = Final Velocity (driving at a certain velocity, speeding up or slowing down for a certain duration of time means you'll be driving at a different velocity, formally called the final velocity)

  • @FilzSkillz
    @FilzSkillz 11 лет назад +8

    this is the first khan academy video I disliked, just doesn't explain things as well as the other videos unfortunately

  • @nictanghe98
    @nictanghe98 4 года назад

    ANd there is not a physics book around .....
    Nice illustration on how we are teaching things pointless stuf because old people are unable to use computers.

  • @mostinho9
    @mostinho9 12 лет назад

    yea...

  • @IcedT4y
    @IcedT4y 11 лет назад

    2 professors are jealous.

  • @Genghiskaran
    @Genghiskaran 11 лет назад

    im butthurt

  • @leyawonder2306
    @leyawonder2306 5 лет назад

    .

  • @marce6969
    @marce6969 2 года назад

    nothing this guy says can keep my attention. maybe I'm just dumb, but its annoying

    • @muse5560
      @muse5560 2 года назад

      I thought i was the only one