The PhysicsMaths Wizard
The PhysicsMaths Wizard
  • Видео 184
  • Просмотров 11 222 439
How EXACTLY does Beta Decay occur?
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The video explores the concept of beta decay and how an electron is released from the nucleus of an atom (even though there are no electrons in the nucleus)
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Просмотров: 4 133

Видео

What If Light Was REALLY Slow? Visualizing Special Relativity
Просмотров 1,1 тыс.8 месяцев назад
To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/ThePhysicsMathsWizard . The first 200 of you will get 20% off Brilliant’s annual premium subscription. In this video, we visualize some of the effects of Special Relativity such as the Relativistic Doppler Effect, Time Dilation, Length Contraction and the Terrell rotation. Access the Simulator (A slower speed ...
Make better PREDICTIONS using Maths (Gambler's fallacy, confirmation bias & more)
Просмотров 4919 месяцев назад
To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/ThePhysicsMathsWizard . The first 200 of you will get 20% off Brilliant’s annual premium subscription. This video covers some of the basic misconceptions and misinterpretations of probability theory, some of these include the Gambler's Fallacy (Monte Carlo fallacy), Confirmation Bias and the availability Heuri...
One COULOMB of charge is TOO BIG !
Просмотров 1,6 тыс.10 месяцев назад
In this video, i explain why one coulomb of charge is such an enormous amount of charge and why we rarely deal with calculations where charges are whole coulombs but rather fractions and sub-units of a coulomb. 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become a chan...
The story of how NUMBERS EVOLVED!
Просмотров 3,9 тыс.Год назад
This video is a brief documentary on how we went from counting numbers all the way to hyper-complex numbers. For each numerical system, we begin by presenting a possible problem that required such a set of numbers to be invented. 🤓🤏Become a channel member: t.ly/7KoV 🙏 Support me on patreon: t.ly/2vGI 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreads...
Why Does Metal Feel Colder Than Wood? (Explaining the Temperature Perception)
Просмотров 2,8 тыс.Год назад
Our perception of hot and cold depends on both temperature and thermal conductivity. In this video, i explain why metals feel colder than wood when left in the same temperature environment for sufficiently long time. 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become ...
Heat and Temperature (What's the REAL difference): Understanding the Fundamentals
Просмотров 2,1 тыс.Год назад
In this video, I dive into some of the building blocks of thermodynamics; i.e. heat and temperature. Two terms that are commonly used & yet sometimes misinterpreted or confused. The video talks about the meaning of heat and temperature in principal and the relationship between the two. 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subs...
What are Differential Equations: A conceptual explanation of differential equations.
Просмотров 8 тыс.Год назад
In this video, i explain differential equations from a conceptual rather than rigorously numerical approach. I answer such basic questions such as: What is a differential Equation? How are differential equations formed? What does a solution to a differential equation mean? Desmos Graph: www.desmos.com/calculator/yjigexd0fq Watch my playlist on differential Equations: ruclips.net/p/PLgBDnw0cg4ES...
Probability theory: Types of Events in probability
Просмотров 8 тыс.2 года назад
This is the second video in the series about probability theory, check out the first video here: ruclips.net/video/U2DIF7bl9Ys/видео.html In this video, i talk about types of events in probability: -Independent events -Dependent events -Mutually exclusive events -Exhaustive events -Complimentary events -Simple and compound events -Sure events -Impossible events 📝❓Submit a question: forms.gle/rN...
Probability theory: Basic Introduction, Sample space, Events and axioms
Просмотров 1,1 тыс.2 года назад
This video is an introduction to probability theory, I talk about what probability means in simple terms, some common terms used and a few basic axioms. NEXT VIDEO (Types of probability Events): ruclips.net/video/ZuE1AtbH1_Q/видео.html 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsma...
General solutions to 2^sin^2x + 2^cos^2x = 3
Просмотров 5 тыс.2 года назад
A nice trigonometric equation. General solutions to 2^sin^2x 2^cos^2x = 3 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become a channel member: t.ly/7KoV 🙏 Support me on patreon: t.ly/2vGI Follow me on twitter: d_byakatonda Follow me on facebook: facebook.c...
A nice trigonometric identity proof
Просмотров 5882 года назад
Just a nice trigonometric identity proof suggested by one of my students. 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become a channel member: t.ly/7KoV 🙏 Support me on patreon: t.ly/2vGI Follow me on twitter: d_byakatonda Follow me on facebook: facebook.c...
Answering google's most asked questions about mathematics
Просмотров 1,4 тыс.2 года назад
Trying to answer some of google's most searched questions about math. -Why is mathematics hard -Why is mathematics important -Why do mathematicians go insane -Why do mathematicians die early 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become a channel member: t.ly/7Ko...
Integration by U substitution: When a 'function and its derivative' exist
Просмотров 1,9 тыс.2 года назад
Another integration problem using U substitution, this is an example of an integrand which is has a 'function and its derivative' in it. 📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become a channel member: t.ly/7KoV 🙏 Support me on patreon: t.ly/2vGI Follow me on twit...
A nice logarithmic equation
Просмотров 1,8 тыс.2 года назад
📝❓Submit a question: forms.gle/rNs7PpeFNYGU5c4X7 🛒🛍️👕Buy merch: thephysicsmathswizard.myspreadshop.com/ ▶️Subscribe to the channel: ruclips.net/user/thephysicsmathswizard 🤓🤏Become a channel member: t.ly/7KoV 🙏 Support me on patreon: t.ly/2vGI Follow me on twitter: d_byakatonda Follow me on facebook: denis.scientist ShoutOut to my patrons, Thanks for your support: Turium...
Square root of a surd | How to find the square root of a surd
Просмотров 1,8 тыс.2 года назад
Square root of a surd | How to find the square root of a surd
cos(x) = 2022
Просмотров 17 тыс.2 года назад
cos(x) = 2022
Revisiting this integral from the MIT integration Bee
Просмотров 2 тыс.2 года назад
Revisiting this integral from the MIT integration Bee
An MIT Integration bee problem from @youngmathematician9154
Просмотров 1,9 тыс.2 года назад
An MIT Integration bee problem from @youngmathematician9154
Calculating higher powers of i
Просмотров 9472 года назад
Calculating higher powers of i
Top 8 websites for free and legit e-books.
Просмотров 1,7 тыс.2 года назад
Top 8 websites for free and legit e-books.
Solving an inequality using different techniques ft @TomRocksMaths
Просмотров 4,8 тыс.2 года назад
Solving an inequality using different techniques ft @TomRocksMaths
Integrating factors | First Order (Non-linear) differential Equations
Просмотров 4,7 тыс.2 года назад
Integrating factors | First Order (Non-linear) differential Equations
Integrate 1/(1+5^(tanx)) from 0 to 2000pi
Просмотров 5 тыс.2 года назад
Integrate 1/(1 5^(tanx)) from 0 to 2000pi
Prove by induction: Another nice problem
Просмотров 1,1 тыс.2 года назад
Prove by induction: Another nice problem
Proof by induction: A nice and easy problem
Просмотров 9842 года назад
Proof by induction: A nice and easy problem
Using binomial expansions to approximate roots
Просмотров 16 тыс.2 года назад
Using binomial expansions to approximate roots
A nice proof in complex numbers using demoivres theorem
Просмотров 1,9 тыс.2 года назад
A nice proof in complex numbers using demoivres theorem
Permutations and arrangements with restrictions: A nice example
Просмотров 5412 года назад
Permutations and arrangements with restrictions: A nice example
Complex analysis problem: i^i
Просмотров 6322 года назад
Complex analysis problem: i^i

Комментарии

  • @SekharpothulaPothula
    @SekharpothulaPothula 11 часов назад

    Truely said sir for every action surely there will be equal and opposite reaction but need to wait for time

  • @Reich-c4m
    @Reich-c4m 2 дня назад

    1:19 wrong,if it were to true,this would have also true,2^3 + 2^5 = 2^15 ,but it isn’t

  • @PTE
    @PTE 5 дней назад

    A good teacher is always exceptional 🙏🙏🙏

  • @rosearts68
    @rosearts68 6 дней назад

    0:31 And here we have Newton's first law

  • @user-js3mp4bf8y
    @user-js3mp4bf8y 8 дней назад

    Excellent

  • @FjMl_1234
    @FjMl_1234 10 дней назад

    Dude, I promise when I saw this, I started seeing the secrets of the universe

  • @Ranjandurgesh7
    @Ranjandurgesh7 10 дней назад

    What are this ? It is Easley difine the. Newton 3rd law .

  • @tauseefansari1799
    @tauseefansari1799 12 дней назад

    Very nice explanation 👌

  • @rogersv7823
    @rogersv7823 16 дней назад

    I am stuck wondering how the action was able to cause that reaction without the bike chain or peddle moving while the wheels were set in motion Can someone please explain I am very curious about that 👀

  • @hitthejiminonthegooddayime1455
    @hitthejiminonthegooddayime1455 17 дней назад

    But isn't x supposed to be real tho?

  • @vinishvijayan6661
    @vinishvijayan6661 20 дней назад

    I could not finish the video..

  • @ILYA1991RUS_Socratus
    @ILYA1991RUS_Socratus 26 дней назад

    В России ракеты не умеют делать)))

  • @djay10101
    @djay10101 26 дней назад

    Awesome simple to understand but it didn't work for me, because in the simplifying stage sqrt(cos^2(x)) is not equal to cos(x), because the range is different. try it in desmos and its a bit different

  • @BVM729
    @BVM729 26 дней назад

    Newtons third law ma very very very very important question for 5 marks

  • @gursahibramgarhia5587
    @gursahibramgarhia5587 27 дней назад

    But how is this action reaction as action reaction forces work in case of two bodies

  • @hackmedia7755
    @hackmedia7755 Месяц назад

    it would have been better if you measured lengths of the glass and converted the wavelength to frequency. Then see if that calculated frequency matches the one that caused it to break.

  • @user-vk2qt2uz2x
    @user-vk2qt2uz2x Месяц назад

    😂

  • @zrmsraggot
    @zrmsraggot Месяц назад

    It worked !

  • @ShruthinageshShruthinage-ws9sv
    @ShruthinageshShruthinage-ws9sv Месяц назад

    87631-'' 371

  • @joepugh678
    @joepugh678 Месяц назад

    So hypothetically, if everyone on Earth started jumping up and down between 11:55am and 12:05 pm, would this have the effect of pushing the Earth slightly away from the Sun, and possibly offsetting global warming, or would it have no effect on the position of the Earth at all?

  • @Xev729
    @Xev729 Месяц назад

    In explaining this phenomenon, the entirety of youtube pales in comparison to what you have done. Well done.

  • @Alhamdullilah101
    @Alhamdullilah101 2 месяца назад

    He's the best teacher ever known❤❤

  • @DimAgozirim
    @DimAgozirim 2 месяца назад

    Be more explicit when teaching you tried a little

  • @kavishkaNethsara4856
    @kavishkaNethsara4856 2 месяца назад

    ❤❤

  • @tuguldudboldbaatar3205
    @tuguldudboldbaatar3205 2 месяца назад

    man thank you

  • @RajendraBodhare-rt8ck
    @RajendraBodhare-rt8ck 2 месяца назад

    Thankful

  • @O_Romano
    @O_Romano 2 месяца назад

    Nice video, It's really interesting phenomena, and I remember that Tesla almost destroyed a building with your ocilator with the same situation, hahah

  • @giuliadantuono4536
    @giuliadantuono4536 2 месяца назад

    love you so much you are a life saver king

  • @lastchance8142
    @lastchance8142 2 месяца назад

    How does the sqrt. (81-1) become the sqrt. (81 -1/81)?

    • @ThePhysicsMathsWizard
      @ThePhysicsMathsWizard 2 месяца назад

      Factorise out 81. I'm not sure if that's how o wrote it, but it should be like 81(1 - 1/81)

  • @Gromitdog1
    @Gromitdog1 2 месяца назад

    Imagine the response if he had bunny hopped the desk.

  • @AceofDlamonds
    @AceofDlamonds 2 месяца назад

    niiiiiiice. It's been years since I last studied this stuff, but this is a great refresher.

  • @simplephysicswithkk1
    @simplephysicswithkk1 2 месяца назад

    Newton's laws of motion Ch 5 Q21 HC Verma solutions Concepts of Physics ruclips.net/video/xqkuKIfqpnY/видео.htmlsi=iK2nOSKomdAo5JGE

  • @simplephysicswithkk1
    @simplephysicswithkk1 2 месяца назад

    ruclips.net/video/xqkuKIfqpnY/видео.htmlsi=iK2nOSKomdAo5JGE

  • @stefanoalomia3925
    @stefanoalomia3925 3 месяца назад

    Imagine when universities die and you have to explain what this video is about to your grandkids

  • @milansunar143
    @milansunar143 3 месяца назад

    Others: 5 to 30 minutes videos can't complete the mission But this 0:52 second clip won 10M battles ❤ (expressing this during 10M views on this Video)

  • @guillermobrand8458
    @guillermobrand8458 3 месяца назад

    Look how interesting, mathematics applied to Reality The Age of Life The ability to carry out actions differentiates inanimate matter from living matter. In turn, every action involves the management of Information. We do not know what Matter is or what Life is, and we assume that all life forms that currently inhabit the planet descend from a common ancestor (LUCA), an organism whose complexity is evident if we consider that it is attributed the ability to reproduce. Due to the above, it is reasonable to assume that “seeds of life” existed prior to LUCA. Assuming that the “seeds of life” emerged together with the Big Bang is a bold postulate, and as such requires a solid empirical foundation. When observing Evolution considering the information that our ancestors have managed, and that currently managed by humanity, it is possible to distinguish seven evolutionary milestones; Its analysis allows us to postulate that Life goes back to the origin of the Universe, and the existence of an “evolutionary pattern” is evident, which turns out to be the Golden Ratio. Evolutionary Milestones -Emergence of ”Seeds of Life”(1) (thirteen thousand eight hundred million years ago). -Emergence of LUCA (Last Universal Common Ancestor) three thousand eight hundred million years ago -Emergence of the brain (five hundred and fifty million years ago). -Emergence of what was the precursor of human language (2) (twenty-seven million years ago) -Emergence of the language that characterizes us(3) (around two hundred and twenty thousand years ago). -Emergence of “the information age” with the transistor (1950) -Evolutionary Singularity(4) proposed by Ray Kurzweil, who postulates that humanity will access a Singularity as a result of the exponential growth of information management (year 2045). Evolutionary sections Among successive evolutionary milestones we can distinguish the following six “Evolutionary Tranches”, with the duration indicated (in years): Tranche 1: 10,000,000,000 (13,800,000,000 - 3,800,000,000 = 10,000,000,000) Tranche 2: 3,250,000,000 (3,800,000,000 - 550,000,000 = 3,250,000,000) Tranche 3: 523,000,000 (550,000,000 - 27,000,000 = 523,000,000) Tranche 4: 26,780,000 (27,000,000 - 220,000 = 26,780,000) Tranche 5: 219,905 (220,000 - 95(5) = 219,905) Tranche 6: 95 (95 - 0 = 95) The particular variation experienced by the Evolutionary Sections over time suggests using the logarithm of said sections (LT) to analyze their behavior over time. The logarithms in question are as follows: LT1 = 10.0000 LT2 = 9.51188 LT3 = 8.71850 LT4 = 7.42781 LT5 = 5.34224 LT6 = 1.97772 The lines between two successive logarithms have the following slopes (P) P1 = -0.48812 (9.51188 - 10.0000 = -0.48812) P2 = -0.79338 (8.71850 - 9.51188 = -0.79338) P3 = -1.29069 (7.42781 - 8.71850 = -1.29069) P4 = -2.08557 (5.34224 - 7.42781 = -2.08557) P5 = -3.36452 (1.97772 - 5.34224 = -3.36452) After searching for an “evolutionary pattern” we will determine the variation between successive slopes, which is given by the Ratio (R) between them, that is, P2/P1; P3/P2; P4/P3; P5/P4, and is the following: R1 = 1.62538 R2 = 1.62682 R3 = 1.61586 R4 = 1.61324 The above values differ from the Golden Number (1.61803), a number also called the golden number, the number of God, the extreme and average ratio, the golden ratio, the golden mean, the golden ratio and the divine ratio, by 0.45%; 0.54%; 0.13% and 0.30%, respectively. In turn, the average of the sum of the ratios is 1.62032. This value differs from the golden ratio by 0.14%. The results obtained allow us to postulate that Evolution follows a pattern that is a function of Information and the golden ratio, and that Life goes back to the origin of the Universe. Knowing the evolutionary pattern, it is possible to project the duration of an eventual seventh Evolutionary Tranche, which turns out to have a duration of 2.99 hours. The above allows us to postulate that humanity will have to face a Singularity, with an uncertain prognosis. (1)The last universal common ancestor (LUCA) is the putative common ancestral cell from which the three domains of life, Bacteria, Archaea and Eukarya, originated. The complexity that LUCA is assumed to have does not give rise to affirming that it arose by “spontaneous generation”, it being valid to postulate the pre-existence of “seeds of life” prior to the emergence of LUCA; It is postulated that the origin of the “seeds of life” dates back to the moment when Matter arose in the Universe, that is, around thirteen thousand eight hundred million years. (2)“We find that the anatomical potential to produce and perceive sounds differentiated by their formants began at the latest by the time of our last common ancestor with Old World monkeys (Cercopithecoidea) about 27 Ma ago”; " Which way to the dawn of speech?: Reanalyzing half a century of debates and data in light of speech” (Science magazine) (3) The last change in the position of the hyoid bone in humans, which would have allowed access to the language that characterizes us, took place approximately two hundred and twenty thousand years ago, and its data is based on archaeological evidence and anthropological studies. There is no scientific source that records this change on an exact date. (4)Due to the exponential growth of information technologies, Ray Kurzweil postulates that a Technological Singularity will occur in the year 2045, at which time technological growth will be so rapid and so profound that it will be impossible to predict what its consequences will be. (5) It is the time between 1950 and 2045, the latter year in which Ray Kurzweil postulates that a Singularity will take place.

  • @user-raf
    @user-raf 3 месяца назад

    Спасибо здорово. Видимое практическое главный фактор для человека.

  • @TFIta369
    @TFIta369 3 месяца назад

    2:30: The 2 exponent is missing. The good thing is the teacher did write it in the next line. 🙂

  • @miguelleivab.5188
    @miguelleivab.5188 3 месяца назад

    Circus

  • @manojsaxena1462
    @manojsaxena1462 3 месяца назад

    Stop wastage Bcoz Driving licence test is a total wastage sighting reasons as under; 1. LL definition is wrong bcoz when a person sit on driving seat for driving is deemed driver whether on learning or drive driving. In driving it faces lots of twist and turns U turns curves and cuts turns hill road gali road highway and villages road with signal and without signals. Lights and off lights Jam wrong side driving in subject conditions traffic lane change by traffic police etc. Parking no parking etc. But even after these driving test nothing found disciplined at parking and road except disciplined parking and disciplined drive perfectly. 2. Driving come with practical driving vehicle and cautions found on road apart from keeping in mind with references cautions study material on you tube or booklet as found possible. 3. Driving licence test centres have big investment on its infrastructures countrywide and worldwide and it's maintenance cost incurred each day of every year and work load hassles and staff cost including electricity and electronic costing occurred on it but nothing found justified bcoz of following reasons as under. 4. Every day petrol diesel and others energy wastage. 5. Manpower wastage. 6. Management power wastage. 7. Painting, reality infrastructures cost and maintenance. See and ascertained and calculate these wastage cost every day through out the year and years to come in a country like ours India and worldwide nation wide when petrol diesel crises are worldwide. Arey fees to milta hai na parivahan treasury ko. Kya guarantee hai ki driving test k baad accident nahin hoga ya parking galat nahi hoga. Apni local parking check kijiye. Hence Driving licence should be given honourably when applied DL registration or After six six months automatic PDL issue. Photo etc. can be loaded on portal directly as required with fees deposit usually. DL to middle age and Senior citizens should be given and honoured bcoz driving help and kids Vehicle maintenance drive also for family group driving and personal driving also for emergency driving. Thank you DRIVING LICENCE TEST ADHURA GYAN HEI. Like mirror control nahin dikhaya in driving and during parking specially. Wheels positions during parking in different conditions nahi sikhaya. Roads line change nahi bataya. Intelligent use of horn nahin bataya. Apart from above wastage Traffic Jam experience nahin hei. Proper driving seat positioning nahi bataya ye to subse important hai. To ye sari problem hai jubki drivers to pahle din hi one gaya when start for driving bus knowledge hi milta thereafter. As much experience as much drive in different conditions on road. Than only become perfect driver disciplined more or less. Licence pahle Dena chahiye before starting driving. Speed breaker ka pass kaise karei ye bhi nahi bataya. YIELD driving k baare mein nahi bataya. LL se better PDL issue karde with conditions ki six months local driving and parking after three or six months go on highway that will like a cautions in mind local drive bhi theek jayada problem nahi. RUclips bhi driving media film training theek knowledge deta hei. Thanks to them. Ab hua hei andaaza pura GYAN. Subject to terms and conditions applied on road construction and conditions. Thank you STOP WASTAGE SAVE WASTAGE RUN SAFE DRIVE SAFE USE SAFETY BELT Stop Driving Licence Test Immediately Mistakes are humans nature errors must be avoided. That's why excusable or must be barely minimum fined bcoz of nature. Traffic police challan should be avoided Fine if fined must be a minimum not to be pinching or cause of leaving driving. Driving is a skill come with experience and practical signs and lines drawn on the ways of drive. Kids are leaving driving bcoz of heavy penalty and challan fines is not healthy for the nation hence should be stopped immediately. Thank you

  • @Jimmy-rn5ds
    @Jimmy-rn5ds 3 месяца назад

    It demonstrates the conservation of momentum if we come to symmetry of space.

  • @bhaveshsuthar4423
    @bhaveshsuthar4423 3 месяца назад

    I remember reading that we can’t define which force is action and which is reaction. Action and reaction forces exist in pair. Someone care to weigh in ?

  • @Ria-hs1el
    @Ria-hs1el 3 месяца назад

    Thankuu soo much I was so confused you helped me alot❤❤

  • @YtubeUserr
    @YtubeUserr 3 месяца назад

    He should have left the hall in that cycle and not come again

  • @royrice8021
    @royrice8021 3 месяца назад

    At the start his head shakes like Parkinson’s disease. 🤔

  • @Dave-zl2ky
    @Dave-zl2ky 3 месяца назад

    Any teacher who brings learning to life is super. Thanks.

  • @FireRescue884
    @FireRescue884 3 месяца назад

    Did we really need Newton to figure this out 🤔 just seems like common sense to me.