You show how beautiful and fun Mathematics actually is while some think it is useless in real life 😊

During my school days, I found this quite interesting:

r = position
v = dr/dt (velocity)
a = d²r/dt² (acceleration)
j = d³r/dt³ (jerk)
s = d⁴r/dt⁴ (snap)
c = d⁵r/dt⁵ (crackle)
p = d⁶r/dt⁶ (pop)

Proving mathematical theorems is one thing, but verifying them and that too, practically (when possible) has its own unique flavour.

Awesome video; It's incredible to think that people worked entire mathematical formulas without electronic calculators! Also that landing and staircase is extremely cool; it's like a reverse bunk-bed for adults!

I love your videos because you explain things from a "how and why" perspective, not a "memorize this" perspective. I've always been a "concept and discovery" learner. I vaguely remember a physics class I'd taken in school around 1989 or so. I remember that I could do the math and learned the "hows and whys," but it didn't stick. Fast forward a few decades and I was trying to design a cute little game with spinning bits. I had to relearn angles and a lot of things I'd learned in both physics and geometry. I got it to work. But it's amazing how much you can learn when just "playing with" equations and observing how they behave. That will help you to find the "whys" of how it behaves. Unfortunately, it didn't "stick" the second time either. lol However, I can remember WANTING to learn it the second time because it was immensely useful to what I was trying to do! Enough videos like this, and I may have to start relearning again.

😊You explain mathematics very beautifully. I watch your videos several times. It is educational and very entertaining for me. I am eagerly waiting for your next videos. Thank you, Elli 😍

Check 1: Algorithm worked!
Check 2: Sunday!
Check 3: 11am!

Good morning!
Today it seems you're giving me GCSE/A Level Physics flashbacks!
S=ut + 1/2at^2 is a golden oldie. They were never called 'SUVAT' equations back in my youth but they're all present and correct!

Thanks Ellie,
Have a great day and enjoy what's left of your weekend!

In my country, SUVAT is almost a homonym of ice cream (sorvete). 😅 That's why I still remember it.

What is the feeling of being one of the greatest mathematician of new era?

Brings back memories! :)

0:59 *Initial velocity

You made my day ✨🤍

It's a very interesting equations in kinematics

I really find it fascinating and beautiful to watch different approaches to how someone would explain such topics. I dont want to sound rude at all. I just feel that its visible through your explanation how you think and structure your problems. I think, speaking as physics student myself, I would have done maybe a different approach. I just love the diversity and seeing at the start the "rigorous" definitions, takes me back to all the math worksheets and classes I was privileged to hear. I love how at the end, university does shape the way you think about problems. And these differences among engineers, physicists and mathematicians are the true Beauty and strenght university has to offer. Especially in times with AI. So thank you for this nice and refreshing video. Wish you all the best. Keep it up :)

Nice video

Great video! Can you make a video describing optimization in Calc You're doing great keep it up

About the relation v^2 = u^2 + 2as
That relation is also known as 'Torricelli's equation'.
Now, that relation was never explicitly stated by Torricelli. However, in retrospect we see that Torricelli's law for a fluid squirting out of an orifice anticipated that relation. So there is a sensible reason for giving  2as = v^2 - u^2  the name: 'Torricelli's equation'.

Some years ago I edited the wikipedia article for Torricelli's equation, to provide a derivation of it from v = u + at and \delta s = ut + 1/2at^2

About the source relations:
\delta s = ut + 1/2at^2  and v = u + at are related by differentiation; differentiation of  \delta s = ut + 1/2at^2 with respect to time results in v = u + at

The idea is to combine \delta s = ut + 1/2at^2  and v = u + at in such a way that in effect you obtain an integration out of it. I see it as an instance of implicit integration.

The validity of the derivation from \delta s = ut + 1/2at^2  and v = u + at is for uniform acceleration only.

To generalize:
Move to explicit integration: explicit integration gives access to a derivation that is valid for arbitrary acceleration profile.
(I included the derivation with explicit integration in that wikipedia 'Torricelli's equation' article.)

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Great 👍

Please make some pure mathematics applied work on  technology Field.