Projectile Motion: Finding the Maximum Height and the Range

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  • Опубліковано 27 лип 2024
  • Physics Ninja looks at the kinematics of projectile motion. I calculate the maximum height and the range of the projectile motion.

КОМЕНТАРІ • 180

  • @metiburussie8973
    @metiburussie8973 3 роки тому +54

    If only our professors/teachers could be as crystal clear as you! Thank God for your brilliant mind. Keep up the excellent work.

  • @lacertus2753
    @lacertus2753 4 роки тому +146

    Wow, you saved my life. I’m forever indebted to you.

  • @jessamaecabizares6598
    @jessamaecabizares6598 3 роки тому +38

    Thank You so much for making this video. It really helped me in my online class, especially self study is not easy. Thank you for sharing your ideas that is very clear and so understandable. God bless and more power!

  • @lillycrochet
    @lillycrochet 3 роки тому +12

    Thank you so much! This video really helped me see the breakdown of the equations used to find the specifics (time, max height, vertical height, etc.) Please keep making videos and thank you :)

  • @torilecky488
    @torilecky488 Рік тому +11

    This is in fact the single most helpful video on the internet. Thank you.

  • @lukaround
    @lukaround Рік тому +10

    Great Job, thank you. Trying to explain it to my son and came across this video. It reminds me of my teacher

  • @vanessachen2330
    @vanessachen2330 3 роки тому +5

    thank you for your effort, patient and very precise explanation.

  • @donsolellizekristine6776
    @donsolellizekristine6776 2 роки тому +2

    Thank you so much! the explanation is very nice and smooth thank you again sir have a great day ahead

  • @iRobotray
    @iRobotray 8 місяців тому

    This is the best projectile motion video of all time

  • @nirupamam2814
    @nirupamam2814 5 років тому +8

    I understand everything you said because you know how to reach us😊😊👍👍

  • @ayushagrawal4275
    @ayushagrawal4275 3 роки тому +5

    Thanks alot sir, excellent way of explaining complicated stuff...
    I had huge doubts in projectile motion, i looked at many videos but only found this one useful and best...

    • @PhysicsNinja
      @PhysicsNinja  3 роки тому +1

      Thank you so much!! Good luck with your studies. I wish you much success.

    • @ayushagrawal4275
      @ayushagrawal4275 3 роки тому

      @@PhysicsNinja thanks sir...

  • @burgamin5467
    @burgamin5467 2 місяці тому +1

    First video about this subject that I actually understood, and, more importantly, learned something new!

  • @dylaninho2500
    @dylaninho2500 4 роки тому +5

    Great vid, in the last equation you can simplify 2 sin theta cos theta to -> sin2theta

  • @emersonbatzin8341
    @emersonbatzin8341 2 роки тому +1

    This video made the concept so much easier, i get it now

  • @lilac4196
    @lilac4196 Рік тому +3

    Such a lifesaver! Better than my professors

  • @dannydeko331
    @dannydeko331 3 роки тому +5

    Every time I thought "why is he doing that??" you explained it perfectly.

  • @merawithoney
    @merawithoney 3 роки тому +31

    The video is really helpful, thank you. But I feel like it would have been more clear if you used numbers on your examples, and can the final range formula be further simplified into (v initial^2*(sin teta*)2)/g because I assume the angles will be the same?

    • @MathPhysicsEngineering
      @MathPhysicsEngineering 2 роки тому

      If you are interested in an in-depth analysis of the geometry and the physics of projectile motion I recommend:
      ua-cam.com/video/HPehCUv6bEY/v-deo.html&ab_channel=Math%2CPhysics%2CEngineering

  • @dennisrayrosas3175
    @dennisrayrosas3175 3 роки тому +4

    May i ask how did you simplify that ymax formula to its simplest form from that more complex ymax formula, i am just confused

  • @christinechoi5756
    @christinechoi5756 3 роки тому +5

    Wow u are an amazing professor!! Easily understood

  • @eshiwanishem2964
    @eshiwanishem2964 3 роки тому +1

    nice work but what about the angle at which the particle hits the ground?

  • @HAL_HLA
    @HAL_HLA 8 місяців тому +1

    This 20 mins video is clearer than our 1hr discussion-

  • @MathPhysicsEngineering
    @MathPhysicsEngineering 2 роки тому

    If you are interested in an in-depth analysis of the geometry and the physics of projectile motion I recommend:
    ua-cam.com/video/HPehCUv6bEY/v-deo.html&ab_channel=Math%2CPhysics%2CEngineering

  • @zulyc8641
    @zulyc8641 4 роки тому +4

    THANK YOU!!!!! it's so clear now, i was so confused. earned a sub

  • @clarkkimo9105
    @clarkkimo9105 2 роки тому +1

    Thank you so much. this is very helpful.

  • @sunildesilva9606
    @sunildesilva9606 3 роки тому

    If at a time T the direction of the velocity is at 90 degrees to the initial direction of the velocity is given in a problem what can you derive from that?

  • @nurhanimhasbullah8176
    @nurhanimhasbullah8176 3 роки тому

    for time up, the formula is velocity x divide by -9.8) , so the time will become -ve value. is it true?

  • @alinesamara9607
    @alinesamara9607 3 роки тому

    I have the average speed and the time the projectile takes to reach the ground, I need to calculate the range and maximum height, please help

  • @jmk-2277
    @jmk-2277 3 роки тому +1

    Thank you sensei, how may I repay you for your help.

  • @aSenseSeeker
    @aSenseSeeker 4 роки тому +5

    You are the reason I did not get an F in my midterm, thank you Physics Ninja

  • @nwto235
    @nwto235 4 роки тому +2

    Thanks a lot, sir.

  • @nilaypatel5367
    @nilaypatel5367 4 роки тому +2

    this video was insanely helpful, thank you so much

  • @victor.novorski
    @victor.novorski 2 роки тому +1

    This helped me on my exam
    ~thankyou from India

  • @rinxalee8885
    @rinxalee8885 3 роки тому +2

    This helped, thank you.

  • @pejanaamieljesusb.5865
    @pejanaamieljesusb.5865 3 роки тому

    is the initial height same as the maximum height? cuz i have only have the velocity and the angle, ive already solved for the max height but the time and range i cant seem to solve it because i need the int. height

  • @tropicalermine
    @tropicalermine 2 роки тому +1

    Really wish I could hear this video. Turned my TV volume all the way up on the chrome cast, tried AirPods, the sound is so low. I do appreciate the making of it tho! Just a remark

  • @EwanOkyere
    @EwanOkyere 6 місяців тому +1

    Thank you now I understand this topic wayyy better

  • @user-uh7rr9vt1v
    @user-uh7rr9vt1v 3 місяці тому

    Very clear explanation
    Thank you 😊

  • @iBen-ry6pj
    @iBen-ry6pj 8 місяців тому +1

    Now everything projectile seems like child's play. Dam easy.
    Thanks a million 🙏

  • @user-fw8bl2bh4b
    @user-fw8bl2bh4b 4 місяці тому

    Thank you! you make my physics more easier.

  • @sandeepsinghbhatti4084
    @sandeepsinghbhatti4084 3 роки тому +3

    Thank you so much sir i was studying for the MCAT and i was struggling with this concept but now i understood it properly and much more confident

  • @masterboijoe6687
    @masterboijoe6687 3 роки тому +1

    Great vid but i have a small question, in my school book it says that time to reach maximum height= -vy divided by g, which is -9.8m/s2, is there a difference between this and the one in the video?

    • @PhysicsNinja
      @PhysicsNinja  3 роки тому +2

      at 14:26 i write an equation for t_top=v_0*sin(theta)/g. This is the same as the equation you wrote. the vy in your equation is the initial y component of the velocity.

  • @julianmccallum8812
    @julianmccallum8812 10 місяців тому +1

    bro thank god for this man

  • @user-xf9rq9jw6f
    @user-xf9rq9jw6f 3 роки тому

    At 6:28 why above equation before g has 1/2 but below equation doesnt have?

  • @keilacabrera9282
    @keilacabrera9282 Рік тому

    If the angle is not given, how would you go about solving the problem?

  • @joshuasanchez7793
    @joshuasanchez7793 Рік тому

    What if the object is initially displaced upwards?

  • @princessdheannsabanal6297
    @princessdheannsabanal6297 Рік тому

    Hi can I just ask how to solve time in projectile motion? The t=1s t=2s t=3s

  • @maikrorg7171
    @maikrorg7171 3 роки тому +2

    Very helpful!

  • @nood1le
    @nood1le 3 роки тому

    Awesome video

  • @guapdoctor4534
    @guapdoctor4534 3 роки тому +12

    I have the max height and range and need to find initial velocity, I’ve been stuck for ages send help

    • @PhysicsNinja
      @PhysicsNinja  3 роки тому +7

      I will post a video tonight on a basketball problem that deals with this. Stay tuned!!

    • @guapdoctor4534
      @guapdoctor4534 3 роки тому +5

      Physics Ninja thank you so much!

  • @hadrizharif
    @hadrizharif 2 роки тому

    In real life world, would it be fair to assume that there would be a deceleration of the motion in x-axis due to air friction? or is it negligible?
    If negligible, does that mean if i plot the graph of horizontal distance covered over time it will be a straight line and straight to zero when the final Y is 0?

    • @dinukaherath7155
      @dinukaherath7155 2 роки тому

      In the real world, you would need to include air resistance as it has a non-negligible deceleration on the x and y motion of the projectile. I can’t remember the formula for drag off the top of my head but it is necessary for the real world.

  • @TsionMoshe
    @TsionMoshe 3 місяці тому

    Thank you teacher❤

  • @anilkumarsharma8901
    @anilkumarsharma8901 Рік тому

    which quadratic equation satisfy this path ???

  • @joudboushi4062
    @joudboushi4062 Рік тому +2

    Wooow , tomorrow is my exam and you really saved my life , appreciate it ❤️❤️❤️❤️

  • @eshanisandali8726
    @eshanisandali8726 10 місяців тому

    Sir can you help me. I nedd a some biomechanics problems.( segmemt lenth segment mass , COM )

  • @Anonimo-ew5eb
    @Anonimo-ew5eb 3 роки тому

    what if I have to find the time when the y displacement is 10 ?? considering there will be two answers

    • @duttroach8489
      @duttroach8489 3 роки тому

      There are indeed two points where ∆y = 10. In this example, one answer will have a positive Vy and the other will have a negative Vy, assuming it isn't the top of the arc.

  • @johnmwebela2226
    @johnmwebela2226 Рік тому +2

    Watching from Africa and this has made me think smart 😊💯💯💯

  • @junex147
    @junex147 3 роки тому

    I need help in calculating the trajectory length. Yes, it's the length of the parabola or projectile not the horziontal or vertical displacement. Any help?

    • @PhysicsNinja
      @PhysicsNinja  3 роки тому

      You first need to write y vs x. You can do this by eliminating time. Then you will need to find the arc length. This is a standard math problem. I suggest googling it. It will involve integrating a square root function of dy/dx

  • @yijowee5810
    @yijowee5810 6 місяців тому +1

    omg so clear tysm 😊

  • @twangerrrrrr
    @twangerrrrrr Рік тому +1

    my physics exam is tomorrow and i still dont understand projectiles which will most definitely be there but theres so many other units to study theres no time 😭

  • @thristioncupid6883
    @thristioncupid6883 10 місяців тому

    how would i do a question lik this
    A projectile is fired with an initial velocity of 120 ms-1. The projectile has a time of flight of 18.75s.
    Determine:
    a) The range of the projectile;
    b) The maximum height attained, and the time at which this height is attained;

  • @user-og1yd6le9p
    @user-og1yd6le9p 2 роки тому +2

    you are damn good professor.

  • @bcomplexllc-kitchensolutio7248
    @bcomplexllc-kitchensolutio7248 10 місяців тому +1

    Nicely done my brother.

  • @iamvan7243
    @iamvan7243 4 роки тому

    What would happen if the initial velocity upon launch is 0? Or is that not possible?

    • @PhysicsNinja
      @PhysicsNinja  4 роки тому

      That’s the easiest case- Maximum height=0, Range=0

    • @iamvan7243
      @iamvan7243 4 роки тому

      Thank you! i get it now

  • @coleflynn7538
    @coleflynn7538 2 місяці тому

    what if the projectile had acceleration, per say, a rocket. the rocket acceleration is in a changing direction. and the parabola is less circular (longer on the +y path and shorter on the -y). What would be added?

    • @coleflynn7538
      @coleflynn7538 2 місяці тому

      this equation is true for a cannon or snipers sake, but a rocket that dosent have one blast that sets it in motion (rather a continuous acceleration in its trajectory ) is written differently, How?

  • @nirupamam2814
    @nirupamam2814 5 років тому +1

    Very nice

  • @akber_4
    @akber_4 2 місяці тому

    شكرا جزيلا لك شرح ممتاز جدا

  • @niceone1814
    @niceone1814 2 роки тому

    is dy the maximum height?

  • @HusaynTechOfficialChannel
    @HusaynTechOfficialChannel 2 роки тому

    Thank you 😊

  • @ModestusHaundapiti
    @ModestusHaundapiti Місяць тому

    Very interesting 🎉

  • @tanmoydev
    @tanmoydev 11 місяців тому +1

    Can you make a video on the equation of trajectory of the projectile motion😊

    • @PhysicsNinja
      @PhysicsNinja  11 місяців тому

      Yes, maybe this weekend

    • @tanmoydev
      @tanmoydev 11 місяців тому

      @@PhysicsNinja thank you sir 🤗.

  • @marinamaged962
    @marinamaged962 4 роки тому +2

    Legend

  • @christineebdalin6733
    @christineebdalin6733 3 роки тому +1

    But what if there's no given angle? The only given are distance and time. How to find the maximum height?

    • @duttroach8489
      @duttroach8489 3 роки тому +1

      Which time(s) and distance(s) are you given? If you have the ∆x for t(max), or position & time of impact, then you should have your Vx for when Vy = 0 because Vx is constant.
      If your starting height and impact height are the same, the parabola from start to finish will be symmetrical, therefore, its midway point will be half of t(max). Long story short, you have to work backwards, and your max height is tangeant to the highest point on the parabola.

    • @beymonbros2785
      @beymonbros2785 3 роки тому

      @@duttroach8489 what happens if you have no given angle but only have speed and distance/range how would you solve for Vy?

  • @michelleeo4100
    @michelleeo4100 3 роки тому +1

    G is pointing down so it negative but where’s the 1/2 gt square coming from

    • @anleal9587
      @anleal9587 3 роки тому

      the kinematic equation

  • @mmjxsn
    @mmjxsn 10 місяців тому

    I was told that range was |v|^2 * sin(2theta) / g, is this the same as 2Vo^2 * sin(theta) * cos(theta) / g?

    • @PhysicsNinja
      @PhysicsNinja  10 місяців тому

      Same, using a trigonometric metric identity 2sinxcosx=sin2x

  • @yeetman9k867
    @yeetman9k867 3 роки тому +2

    Thanks im using this for a program on a rocket

  • @fademusic1980
    @fademusic1980 8 місяців тому

    How come i now understand ballistic calculations but i still cant understand polar patterns being taught by my precal II teacher

  • @j.gordonleishman6401
    @j.gordonleishman6401 10 місяців тому +1

    2 sin a cos a = sin 2a. Therefore, max range is when a = 45 degrees.

  • @DonSimone1996
    @DonSimone1996 3 роки тому +1

    You're an iron man, wow, that's great. Huge accomplishment. That jacket is cool.

    • @PhysicsNinja
      @PhysicsNinja  3 роки тому +1

      There’s no greater accomplishment in life than finishing an Ironman.

    • @DonSimone1996
      @DonSimone1996 3 роки тому

      @@PhysicsNinja you're damn right, sir

  • @icuppu2
    @icuppu2 3 роки тому

    Great explanation, liked and subscribed. I can definitely use your equations when the next extinction asteroid strikes and rips away our atmosphere, or if I go to the moon where there is no air drag. How about a video with air drag of say a BB weighing 0.334 grams and Vo of 204.5 m/s and calculate for Vy and Range; else, it's all theoretical, but not of our reality, but very interesting and I highly appreciate what you have done in such an interesting and entertaining educational manner. Stay safe and God speed.

  • @qwertyui90qwertyui90
    @qwertyui90qwertyui90 2 роки тому +1

    What about the X value when Y is at its max

  • @dialafakhrddine494
    @dialafakhrddine494 3 роки тому +1

    This is 10/10

  • @tony-bt7rg
    @tony-bt7rg 4 роки тому +2

    Thanx bro

  • @lidiauni6057
    @lidiauni6057 8 місяців тому +1

    thank you so much!!!

  • @xxsweatxx6945
    @xxsweatxx6945 3 місяці тому +7

    If i still dont get it im quiting school

  • @user-yl5sn4pu5m
    @user-yl5sn4pu5m Рік тому

    CALCULATE THE VELOCITY WITH WHICH THE BALL LEAVESTHE PLAYER HAND IN 5 SECOND? WHEREBY NO DISPLACEMENT. HELP PLEASE

  • @mshafimir-pl7xj
    @mshafimir-pl7xj 3 місяці тому

    sir I think v is not initial Velocity v is final Velocity and u is intial velocity...

  • @user-mh5oq4vl4d
    @user-mh5oq4vl4d 9 місяців тому +1

    You really make me proud sir I now know what I did not do

  • @thogoulia4735
    @thogoulia4735 3 роки тому

    It s very clear

  • @abrarmansur3666
    @abrarmansur3666 2 роки тому +1

    life saver :)

  • @jamiyahajibushra1344
    @jamiyahajibushra1344 6 місяців тому

    Ur the best tnx

  • @PaTZi300
    @PaTZi300 2 роки тому

    14:40 Ehh, why is V0sin theta squared? As you can see, it is not squared on the velocity formula

    • @PaTZi300
      @PaTZi300 2 роки тому

      Can anyone help pls ?

    • @xinyinpianoanimemusic1697
      @xinyinpianoanimemusic1697 2 роки тому

      @@PaTZi300 substitue t top into equation (2) , u'll get Vosintheta x Vosintheta/g ...

  • @user-vb3xl9sx2x
    @user-vb3xl9sx2x 10 місяців тому

    can total delta y displacement can be negative?

    • @PhysicsNinja
      @PhysicsNinja  10 місяців тому +1

      Yes, if you drop inside a hole. Negative displacement simple tell you the direction. Negative would down relative to where you started.

    • @user-vb3xl9sx2x
      @user-vb3xl9sx2x 10 місяців тому

      @@PhysicsNinja my problem is like this on the video "a ball has been thrown with initial velocity of 28m/s at 30° angle" my delta y displacement is negative did I answer it right? thank you sir

  • @_kanad1315
    @_kanad1315 5 років тому +6

    so quiet

  • @etonefelix
    @etonefelix Рік тому +1

    Great

  • @mohalf2536
    @mohalf2536 3 роки тому

    Is this in bc

  • @abelalford2935
    @abelalford2935 3 роки тому

    Helpful

  • @wtlau5208
    @wtlau5208 Місяць тому +1

    good teaching thnak you

  • @alwinantony3511
    @alwinantony3511 Рік тому

    If a body is projected upward then it's acceleration is -ve why??

    • @PhysicsNinja
      @PhysicsNinja  Рік тому

      Gravity is down and we take this direction to be negative

    • @alwinantony3511
      @alwinantony3511 Рік тому

      Thanks for answering my question ❤

    • @alwinantony3511
      @alwinantony3511 Рік тому

      In linear motion velocity and acceleration are in the same direction but in the projectile motion velocity is upward and acceleration is downward how is that possible could you explain it to me.

  • @beatricekatongo5871
    @beatricekatongo5871 3 роки тому

    Lovely

  • @Darkness-fm4wk
    @Darkness-fm4wk 28 днів тому

    how