Projectile Motion: Finding the Maximum Height and the Range

Physics Ninja looks at the kinematics of projectile motion. I calculate the maximum height and the range of the projectile motion.

Пікірлер: 176

  • @metiburussie8973
    @metiburussie89733 жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

    Thank you so much

  • @veronicanjovu8353

    @veronicanjovu8353

    2 ай бұрын

    Well explained thanks for your time

  • @hael3516

    @hael3516

    Ай бұрын

    professors as in university... im in highschool learning this 😰

  • @lacertus2753
    @lacertus27534 жыл бұрын

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

  • @aldrinjames2565

    @aldrinjames2565

    3 жыл бұрын

    OA

  • @CallmeMizami

    @CallmeMizami

    Ай бұрын

    ​@@aldrinjames2565Fsfs

  • @burgamin5467
    @burgamin546711 күн бұрын

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

  • @jessamaecabizares6598
    @jessamaecabizares65983 жыл бұрын

    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!

  • @torilecky488
    @torilecky488 Жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Glad you think so!

  • @lukaround
    @lukaround Жыл бұрын

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

  • @lillycrochet
    @lillycrochet3 жыл бұрын

    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 :)

  • @iRobotray
    @iRobotray6 ай бұрын

    This is the best projectile motion video of all time

  • @nirupamam2814
    @nirupamam28144 жыл бұрын

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

  • @ayushagrawal4275
    @ayushagrawal42753 жыл бұрын

    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 жыл бұрын

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

  • @ayushagrawal4275

    @ayushagrawal4275

    3 жыл бұрын

    @@PhysicsNinja thanks sir...

  • @donsolellizekristine6776
    @donsolellizekristine67762 жыл бұрын

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

  • @vanessachen2330
    @vanessachen23303 жыл бұрын

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

  • @lilac4196
    @lilac4196 Жыл бұрын

    Such a lifesaver! Better than my professors

  • @emersonbatzin8341
    @emersonbatzin83412 жыл бұрын

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

  • @dannydeko331
    @dannydeko3313 жыл бұрын

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

  • @christinechoi5756
    @christinechoi57563 жыл бұрын

    Wow u are an amazing professor!! Easily understood

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

    Thank you!

  • @zulyc8641
    @zulyc86414 жыл бұрын

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

  • @dylaninho2500
    @dylaninho25003 жыл бұрын

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

  • @HAL_HLA
    @HAL_HLA6 ай бұрын

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

  • @victor.novorski
    @victor.novorski2 жыл бұрын

    This helped me on my exam ~thankyou from India

  • @asitpatel832
    @asitpatel8324 жыл бұрын

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

  • @dennisrayrosas3175
    @dennisrayrosas31753 жыл бұрын

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

  • @merawithoney
    @merawithoney3 жыл бұрын

    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 жыл бұрын

    If you are interested in an in-depth analysis of the geometry and the physics of projectile motion I recommend: kzread.info/dash/bejne/eoSZyqWOppnIdbw.html&ab_channel=Math%2CPhysics%2CEngineering

  • @user-fw8bl2bh4b
    @user-fw8bl2bh4b2 ай бұрын

    Thank you! you make my physics more easier.

  • @EwanOkyere
    @EwanOkyere5 ай бұрын

    Thank you now I understand this topic wayyy better

  • @MathPhysicsEngineering
    @MathPhysicsEngineering2 жыл бұрын

    If you are interested in an in-depth analysis of the geometry and the physics of projectile motion I recommend: kzread.info/dash/bejne/eoSZyqWOppnIdbw.html&ab_channel=Math%2CPhysics%2CEngineering

  • @user-uh7rr9vt1v
    @user-uh7rr9vt1vАй бұрын

    Very clear explanation Thank you 😊

  • @iBen-ry6pj
    @iBen-ry6pj6 ай бұрын

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

  • @julianmccallum8812
    @julianmccallum88128 ай бұрын

    bro thank god for this man

  • @tropicalermine
    @tropicalermine2 жыл бұрын

    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

  • @rinxalee8885
    @rinxalee88853 жыл бұрын

    This helped, thank you.

  • @nilaypatel5367
    @nilaypatel53674 жыл бұрын

    this video was insanely helpful, thank you so much

  • @clarkkimo9105
    @clarkkimo91052 жыл бұрын

    Thank you so much. this is very helpful.

  • @nwto235
    @nwto2354 жыл бұрын

    Thanks a lot, sir.

  • @eshiwanishem2964
    @eshiwanishem29643 жыл бұрын

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

  • @nood1le
    @nood1le3 жыл бұрын

    Awesome video

  • @sandeepsinghbhatti4084
    @sandeepsinghbhatti40843 жыл бұрын

    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

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

    Good luck with the MCAT

  • @maikrorg7171
    @maikrorg71713 жыл бұрын

    Very helpful!

  • @johnmwebela2226
    @johnmwebela2226 Жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    I hope you succeed in your studies

  • @yijowee5810
    @yijowee58104 ай бұрын

    omg so clear tysm 😊

  • @TsionMoshe
    @TsionMosheАй бұрын

    Thank you teacher❤

  • @user-og1yd6le9p
    @user-og1yd6le9p2 жыл бұрын

    you are damn good professor.

  • @joudboushi4062
    @joudboushi4062 Жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Best of luck!

  • @sunildesilva9606
    @sunildesilva96062 жыл бұрын

    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?

  • @jmk-2277
    @jmk-22773 жыл бұрын

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

  • @pejanaamieljesusb.5865
    @pejanaamieljesusb.58653 жыл бұрын

    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

  • @nurhanimhasbullah8176
    @nurhanimhasbullah81763 жыл бұрын

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

  • @masterboijoe6687
    @masterboijoe66873 жыл бұрын

    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 жыл бұрын

    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.

  • @bcomplexllc-kitchensolutio7248
    @bcomplexllc-kitchensolutio72488 ай бұрын

    Nicely done my brother.

  • @PhysicsNinja

    @PhysicsNinja

    8 ай бұрын

    Thank you kindly

  • @dialafakhrddine494
    @dialafakhrddine4943 жыл бұрын

    This is 10/10

  • @nirupamam2814
    @nirupamam28144 жыл бұрын

    Very nice

  • @alinesamara9607
    @alinesamara96073 жыл бұрын

    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

  • @marinamaged962
    @marinamaged9624 жыл бұрын

    Legend

  • @HusaynTechOfficialChannel
    @HusaynTechOfficialChannel2 жыл бұрын

    Thank you 😊

  • @keilacabrera9282
    @keilacabrera9282 Жыл бұрын

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

  • @lidiauni6057
    @lidiauni60576 ай бұрын

    thank you so much!!!

  • @PhysicsNinja

    @PhysicsNinja

    6 ай бұрын

    You're welcome!

  • @eshanisandali8726
    @eshanisandali87268 ай бұрын

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

  • @yeetman9k867
    @yeetman9k8673 жыл бұрын

    Thanks im using this for a program on a rocket

  • @hadrizharif
    @hadrizharif2 жыл бұрын

    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 жыл бұрын

    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.

  • @user-xf9rq9jw6f
    @user-xf9rq9jw6f2 жыл бұрын

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

  • @junex147
    @junex1472 жыл бұрын

    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

    2 жыл бұрын

    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

  • @joshuasanchez7793
    @joshuasanchez7793 Жыл бұрын

    What if the object is initially displaced upwards?

  • @abrarmansur3666
    @abrarmansur36662 жыл бұрын

    life saver :)

  • @anilkumarsharma8901
    @anilkumarsharma890110 ай бұрын

    which quadratic equation satisfy this path ???

  • @tony-bt7rg
    @tony-bt7rg3 жыл бұрын

    Thanx bro

  • @akber_4
    @akber_4Ай бұрын

    شكرا جزيلا لك شرح ممتاز جدا

  • @etonefelix
    @etonefelix Жыл бұрын

    Great

  • @jamiyahajibushra1344
    @jamiyahajibushra13444 ай бұрын

    Ur the best tnx

  • @princessdheannsabanal6297
    @princessdheannsabanal6297 Жыл бұрын

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

  • @thristioncupid6883
    @thristioncupid68838 ай бұрын

    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;

  • @beatricekatongo5871
    @beatricekatongo58713 жыл бұрын

    Lovely

  • @abelalford2935
    @abelalford29353 жыл бұрын

    Helpful

  • @DonSimone1996
    @DonSimone19963 жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

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

  • @DonSimone1996

    @DonSimone1996

    3 жыл бұрын

    @@PhysicsNinja you're damn right, sir

  • @user-mh5oq4vl4d
    @user-mh5oq4vl4d7 ай бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    7 ай бұрын

    You got this!

  • @j.gordonleishman6401
    @j.gordonleishman64018 ай бұрын

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

  • @cece8309
    @cece83099 ай бұрын

    i heart you.

  • @Anonimo-ew5eb
    @Anonimo-ew5eb3 жыл бұрын

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

  • @duttroach8489

    @duttroach8489

    3 жыл бұрын

    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.

  • @thogoulia4735
    @thogoulia47353 жыл бұрын

    It s very clear

  • @coleflynn7538
    @coleflynn753822 күн бұрын

    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

    22 күн бұрын

    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?

  • @twangerrrrrr
    @twangerrrrrr Жыл бұрын

    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 😭

  • @iamvan7243
    @iamvan72434 жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    4 жыл бұрын

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

  • @iamvan7243

    @iamvan7243

    4 жыл бұрын

    Thank you! i get it now

  • @mshafimir-pl7xj
    @mshafimir-pl7xjАй бұрын

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

  • @guapdoctor4534
    @guapdoctor45343 жыл бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

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

  • @guapdoctor4534

    @guapdoctor4534

    3 жыл бұрын

    Physics Ninja thank you so much!

  • @samiya4798
    @samiya47982 жыл бұрын

    10Q keep it up

  • @fademusic1980
    @fademusic19806 ай бұрын

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

  • @mmjxsn
    @mmjxsn8 ай бұрын

    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

    8 ай бұрын

    Same, using a trigonometric metric identity 2sinxcosx=sin2x

  • @icuppu2
    @icuppu23 жыл бұрын

    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.

  • @tanmoydev
    @tanmoydev9 ай бұрын

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

  • @PhysicsNinja

    @PhysicsNinja

    9 ай бұрын

    Yes, maybe this weekend

  • @tanmoydev

    @tanmoydev

    9 ай бұрын

    @@PhysicsNinja thank you sir 🤗.

  • @niceone1814
    @niceone18142 жыл бұрын

    is dy the maximum height?

  • @user-iz2zo8pv4q
    @user-iz2zo8pv4q9 ай бұрын

    i love you bless you

  • @taxsportsfanpower8324
    @taxsportsfanpower83243 жыл бұрын

    Goood bro

  • @ibrahimjustus9654
    @ibrahimjustus96543 жыл бұрын

    Ahxante xan

  • @vincentoklika2854
    @vincentoklika28544 ай бұрын

  • @user-vb3xl9sx2x
    @user-vb3xl9sx2x8 ай бұрын

    can total delta y displacement can be negative?

  • @PhysicsNinja

    @PhysicsNinja

    8 ай бұрын

    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

    8 ай бұрын

    @@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

  • @christineebdalin6733
    @christineebdalin67333 жыл бұрын

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

  • @duttroach8489

    @duttroach8489

    3 жыл бұрын

    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 жыл бұрын

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

  • @qwertyui90qwertyui90
    @qwertyui90qwertyui902 жыл бұрын

    What about the X value when Y is at its max

  • @xinyinpianoanimemusic1697

    @xinyinpianoanimemusic1697

    2 жыл бұрын

    1/2 of range, since it is symmetrical

  • @user-yl5sn4pu5m
    @user-yl5sn4pu5m Жыл бұрын

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

  • @ian_bruh1
    @ian_bruh13 жыл бұрын

    Examples would be really fucking helpful

  • @bananachipsyum636

    @bananachipsyum636

    3 жыл бұрын

    Don’t be mean :/

  • @kkkkk393
    @kkkkk393 Жыл бұрын

    🌷

  • @michelleeo4100
    @michelleeo41003 жыл бұрын

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

  • @anleal9587

    @anleal9587

    3 жыл бұрын

    the kinematic equation