Equation of Trajectory - Kinematics

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  • Опубліковано 10 лют 2025
  • In this video I derive the equation of trajectory and use it to find the range of trajectory and the maximum height obtained during this motion

КОМЕНТАРІ • 40

  • @bmckayw
    @bmckayw 8 років тому +18

    This is really cool! I've been trying to find something this detailed for a long time now.

  • @camelcase9225
    @camelcase9225 8 років тому +29

    Wow. Never really thought of how equations were formed until you walked through this. Looking at it makes sense but yeah, I don't think I'd be able to come up with that myself lol. Anyway, great vid; it was educational and well done.

  • @superuser8636
    @superuser8636 4 роки тому +4

    Great explanation and use of the local extrema! Love these tutorials and breaking equations down into what they symbolize.

  • @geoffreywilliams7705
    @geoffreywilliams7705 5 років тому +2

    This is the best method for derivation of the trajectory formula!

  • @anzatzi
    @anzatzi 6 років тому +2

    I have been trying to work this out on my own--impressively presented. thanks!

  • @siddiqisah1452
    @siddiqisah1452 9 років тому +4

    He goes in depth for valid reasons

  • @vishalrai3773
    @vishalrai3773 10 років тому +6

    getting what i was searching for????? ;;;perfect;;;

  • @geothaliyath9311
    @geothaliyath9311 5 років тому +1

    Great Great Thanks for video and Great explanation. Once more Great Thanks. Applying above logic in opencv

  • @klsar1
    @klsar1 9 років тому +3

    Excellent 101 dummy course in rocket science

  • @neutron-au
    @neutron-au 2 роки тому +1

    Hello everyone from the past, present and future of year 12 ATAR Physics :)

  • @phee3D
    @phee3D 2 роки тому

    do you still post educational content somewhere? I find your teaching method of going into the whys of equations exceptionally helpful

  • @jordanclarke7028
    @jordanclarke7028 8 років тому +2

    thank god umi looked for thus then trajectory from flash was everywhere

  • @Lily-cl6zk
    @Lily-cl6zk 6 років тому +1

    thank you! amazing

  • @Speki_
    @Speki_ 3 роки тому +3

    if someone sees my comment by any change can you tell me how to apply this math if you already know the height that the object is being thrown at and the distance it travels

    • @josephpostma1787
      @josephpostma1787 3 роки тому +3

      I don't know but I want to learn the capabilities of my mortar and how high and far and fast the shell will fly with a certain powder charge/gas seal and firing angle.

    • @fallaway-lol
      @fallaway-lol 2 роки тому

      at max height the y component of the velocity will be 0;
      the distance it travels in x is the x component of the initial velocity times the time it takes for the object to fall down (height =0)

    • @phee3D
      @phee3D 2 роки тому

      in this situation you could use the equation he made at around 4:15, replace y with the height the max height that you said you already know and replace x with 1/2 of the distance it travels and then finally solve for u to get the initial velocity.

    • @phee3D
      @phee3D 2 роки тому

      @@fallaway-lol he mentioned he only knows the maximum height and the total distance travelled. He probably wants to find the initial velocity.

  • @eadigi3057
    @eadigi3057 3 роки тому

    I am going to use this in Bedwars

  • @pederslothzuricho7685
    @pederslothzuricho7685 4 роки тому

    my brain goes this can't work in case you throw the object in dir zenith, as this would require you to divide with something that could be zero, at which point the term for t can't be valid either. Which im guessing i why i remember the problem from highschool described as "sloped throw", please enlighten me if I am forgetting or missing something.

  • @thomb.9013
    @thomb.9013 3 роки тому +1

    Ok but how about the reverse kinematics?

  • @AntonioMendoza_3
    @AntonioMendoza_3 5 років тому

    I'm the 600 sub

  • @siphenathimdludla502
    @siphenathimdludla502 5 років тому +1

    Thanks

  • @josephpostma1787
    @josephpostma1787 3 роки тому

    What is a "Tantitem" and a "Cosliter"?

  • @sergiotejedomartin4179
    @sergiotejedomartin4179 4 роки тому

    Math ia type beat

  • @megamanrulz14
    @megamanrulz14 8 років тому +2

    what a theta?

    • @quitsdrop6995
      @quitsdrop6995 7 років тому +1

      Jean-Luc Belanger ikr xD

    • @metanumia
      @metanumia 7 років тому +1

      Theta is a Greek symbol used as a variable in mathematics and in this physics calculation Theta represents the angle of launch of the projectile, relative to the horizontal axis (X-axis). The angle is in units of degrees (0-360 degrees) and can be converted to radians.

    • @randyr.ottele8553
      @randyr.ottele8553 7 років тому

      the launch angle of the projectile .

  • @enigma8374
    @enigma8374 7 років тому

    How to consider the value of u ?

    • @henrifrancais
      @henrifrancais 7 років тому

      Not quite sure what you mean - u is the initial speed of the projectile, usually expressed in m/s.

    • @enigma8374
      @enigma8374 7 років тому

      I mean to say that how to find the value of initial velocity ?

    • @henrifrancais
      @henrifrancais 7 років тому +1

      It is a parameter, just like the initial angle, theta, and the gravitational field strength, g. It will have to be provided or some other information provided in order to work it out. For example, if you were given the maximum height or maximum range, you could use these values to estimate the initial speed, u.

    • @randyr.ottele8553
      @randyr.ottele8553 7 років тому

      Think of it as how fast is the bullet (projectile) traveling the instant it leaves the gun. The bullets Initial Velocity (that's if we are talking about guns and bullets in our example). So the bigger or more powerful the gun fired, the faster the bullet will be traveling once it leave the gun. This info must be given to you before you can do any of these calculations. It can be calculated separately but you must know all the variables of Internal ballistics, like how much powder is in the bullet and how big the bullet is etc...etc. This type of callulation is a whole subject to its own.

    • @yemalkegin
      @yemalkegin 4 роки тому

      If you want to consider the value of u that means you already took the shot or threw the stone, therefore, you should have a result of an experiment that gives you the horizontal distance, and from that variable, you can now talk about the initial velocity by simply calculating with your observational values.

  • @alexm.8619
    @alexm.8619 4 роки тому +2

    I'm in 8th grade why am I here.

  • @techface1960
    @techface1960 5 років тому

    thanks

  • @rajusatappagol8361
    @rajusatappagol8361 4 роки тому

    Thanks