I have seen jerk on some t-shirts but never even heard of snap or crackle or pop. I really respect your search for and sharing of what you know. Thank you and never stop teaching.
To remember these just use :“VeryAngryJoggersJumpCarefullyPassLookDown” •Velocity SI Unit: meters per second (m·s⁻¹) Meaning: Rate of change of position. •Acceleration SI Unit: meters per second squared (m·s⁻²)Meaning: Rate of change of velocity. •Jerk SI Unit: meters per second cubed (m·s⁻³)Meaning: Rate of change of acceleration. •Jounce (Snap) SI Unit: meters per second to the fourth power (m·s⁻⁴)Meaning: Rate of change of jerk. •Crackle SI Unit: meters per second to the fifth power (m·s⁻⁵)Meaning: Rate of change of jounce. •Pop SI Unit: meters per second to the sixth power (m·s⁻⁶)Meaning: Rate of change of crackle. •Lock SI Unit: meters per second to the seventh power (m·s⁻⁷)Meaning: Rate of change of pop. •Drop SI Unit: meters per second to the eighth power (m·s⁻⁸)Meaning: Rate of change of lock.
Using this formula, you can derive that the position of a function in any time is given by: x(t) = x(t0)+v(t0)*t+0.5a(t0)*t^2+1/6j(t0)*t^3+1/24s(t0)*t^4+1/120c(t0)*t^5+1/720p(t0)*t^6+1/5040l(t0)*t^7+1/40320d(t0)*t^8...
That's funny, there are pages in Wikipedia dedicated to jerk solely and the higher order derivatives of position. And while the former one exists in Slavic languages, the letter one exists only (besides English) in Italian and ... Arabic. The article in Italian references English names, while proposing corresponding translations to Italian. Arabic version is rather short, from what I can understand having no idea of Arabic letters they give the word only for snap, and some citation of English source. It might seem curious, that the names of 3 higher derivatives are inspired by the Rice Krispies mascots Snap, Crackle, and Pop. Rice Krispies being a Kellogg's product (breakfast cereal)
Intriguing! And Wiki doesn't mention d⁷y / dt⁷, the vomit. Also a Kellogs(TM) btw. So I looked for some Kellog's amusement park with roller coasters, but found on Swedish Wiki that he accidently invented corn flakes and first marketed it as a cure for masturbation, jerking until it pops. I don't know about the crackle part, however. The Swedish word for jerking is actually focking, like the movement the chimney sweeper does with his brush. I think the English language has adopted that word, but with some other context. Yes, this maths stuff is interesting.
On a very basic physics example, if we ignore some of the other factors, a rocket taking off would have some constant jerk because acceloration is not constant, rather it is linear if the engines are producing a constant force but as it launches, it loosing fuel (mass) at a constant rate. This would mean a constant non zero jerk, linear acceloration, quadratic velocity, and cubic position. Again it's just 1 higher derivative.
And diminishing air density which lowers air resistance and amplifies the exhaust, And gravity is also decreasing a bit. But I guess that it is the inner workings of the rocket engines that dominates jerk and snap. Like with the Starship: "-Oops, there one of the engines crackled and popped!"
Back in my days of designing airbag crash sensors, I used jerk at times. I'd create PVAJ graphs from integrating and differentiating the Acc data from crash tests when I was characterizing events for simulation work.
I am a motion control expert/firmware writer ( retired ). My ICON is a motion controller. I have used the terms snap crackle and pop for years. The reason why most haven't heard those terms is because motion controllers don't require that you specify those terms making a move. The users usually gives a command with position, velocity and acceleration and some times jerk. Many times there is jerk limit that is set but not part of the command. I have NEVER seen where the user provides a snap, crackle and pop. The reason why is simple. The highest order polynomial that i have ever seen for a motion controller is a seventh order polynomial. x(t)=a+b*t+c*t^2+d*t^3+e*t^4+f*t^5+g*t^6+h*t^7. a is the initial position, b is the initial velocity. c is the initial acceleration/2 and d is the initial jerk/6. For a simple move, a is the current position and usually initial velocity, acceleration and jerk are 0. The commanded position, velocity, acceleration and jerk are used to compute e,f,g, and h of the seventh order polynomial. The user doesn't see this. This is why no one hears of snap, crackle and pop. Notice there is a need for one more name for the h coefficient. It has no semi official name. I call the h parameter the 'hop' parameter but no one else does that I know of or has even given it a name. I have seen jounce used for the derivate for jerk but I have never used it and most people use snap, crackle and pop. Mr Prime Newtons only covered the very basics on this topic, but he is right about using the derivatives. To computer the values for e,f,g, and h one must take the derivative of x(t)=a+b*t+c*t^2+d*t^3+e*t^4+f*t^5+g*t^6+h*t^7 four times and then you have 4 equations to solve for the 4 unknowns e,f,g,and h. Isn't this fun!!!!
@@PrimeNewtons I was just backing you up by letting the others know these are legit terms but are rarely used except by those that write motion control algorithms. Do a search for pnachtwey motion control to see who I am.
@@PrimeNewtons The internets is a funny place! You publish something you think is pretty unique and unknown out there, but some guy replies: "- I've worked with this for many years." Btw, you're doing this in West Africa, aren't you?
I was taught: position, velocity, acceleration, jerk, snap, whip, slam, wham and bam. Nothing after bam is interesting to an engineer, because no material, can withstand the forces at the bam level. Learned these I n trying to analyze the dynamics of valve trains.
Proof that Isaac Newton liked Rice Krispies. 😏 Humble brag: I am both an Engineer and a Physicist. I got my undergrad degree in Engineering, worked for a few years, decided that I wanted to teach math and went back to school. Took a course in Abstract Algebra and decided that teaching math wasn't for me. I changed my major to physics and earned a Master's instead of a teaching credential. Over the years I've had to calculate jerk in several situations but no derivative higher than that. Until just now, I was unaware that higher derivatives even had names. Thanks, Newton.
Using this formula, you can derive that the position of a function in any time is given by: x(t) = x(t0)+v(t0)*t+0.5a(t0)*t^2+1/6j(t0)*t^3+1/24s(t0)*t^4+1/120c(t0)*t^5+1/720p(t0)*t^6...
Looks like a Taylor series. Is it an approximation of another function that is formulated in a more physically theoretically interpretable way? Can one derive such a function from a Taylor series that approximates it?
Ah, so you're a cosmologist! It isn't that stuff moves through space, it is just that the space itself between stuffs is getting larger. I wonder, since spacetime is a single thing, what does inflation do to the time dimension?
Cosmologic student arguing with his high school teacher about why he answered 0 velocity on the exam: "- I assumed redshift 13.76 and then the expansion of the distance fits with velocity 0. I didn't account for the crackling, but it was a simplified question after all."
@@bjorntorlarsson I'm not a cosmologist (thank God) but you know that before becoming that monster you had to do (at least) 3 to 5 years of physics, right? And again, never heard anything beyond acceleration because it's useless
@@jeroenvandorp ❤️ This overlap of popular culture and math/science definitions never fails to delight me. I just learned that the end of a stegosaurus tail is called a "Thagomizer" (in memory of the late Thag Simmons) after a Far Side cartoon. We have come a long way from when everything was in Greek or Latin in order to make it incomprehensible to the uneducated.
1:00 ok my english is a bit to less but i try to follow you! 2:21 ok unfortunatly i don´t knowe how to deaL WITH deriverys but ok 3:00 you are surely right! 4:32 ok you just right definitions here right? 9:14 is the only thing happend here we devide by time ? 10:10 the halve i do not realy understand but it sounds interesting! LG K.Furry
I think these concepts can be applied in meteorology, the study of weather. When the acceleration rotation of earth is fixed, the weather is calm, but when it changes, we can observe a windy weather. The changes in wind velocity is expresed in the change in the jerk of rotation. Thus the higher derivatives can be concieved in a perspective manner. In other words, the stand position where I am measuring natural phenomena. This gives rise to another question: what do the antiderivatives of the position function indicate?
No joke. Physicists just have the best senses of humour of all the sciences. Snap, Crackle, and Pop truly are the 4th, 5th, and 6th derivatives of position.
@@davidmelville5675 An astrophysicist, an engineer and a mathematician on a train through Scotland as they see a herd of black sheep through the window. The astrophycisist says: "- Look, in Scotland all sheep are black!" The engineer responds: "- No, we can only say that in Scotland SOME sheep are black." The mathematician: "- In Scotland there exists at least one herd of sheep that are all black on at least one side."
@@bjorntorlarsson Haha. I heard a slightly different version of that joke. What's the difference between a mathematician and a normal person? A mathematician and a normal person were travelling on a train. Another passenger indicated a sheep out the window and asked them "what colour is that sheep?" The normal person glanced at the sheep and replied "black". The mathematician glanced at the sheep and replied "black.... on this side".
@@davidmelville5675 Gauss as a child counting sheep to fall asleep: (n+1)/2. Snore. Mathematicians hate assumptions. When they on popular demand were requested to define amounts (numbers) they reluctantly assumed that new concept. And building upon what they already had assumed, which was nothing, already defined as 0 (that's why it's not an amount and kind of doesn't fit as well as the amounts do in for example division). They used what they had and definied the amount of nothing to be 1. And the amount of: nothing and the amount of nothing, to be 2. Nothing, the amount of nothing, and the amount of both nothing and the amount of nothing, is 3. And from there on. I kid you not, in set theory they do speak like that! No wonder that even a simple thing like primes gets so complicated. umbers are strange stuff. And no wonder that most mathematicians never use numbers, being skeptical to that foreign new assumption introduced.
Given the title, I was expecting a talk on somethings else entirely
nahhhh💀💀💀
SAME LMAO
I too thought we were about to learn about jerk chicken =]]]
He missed an “f” right there
no matter how much you love calculus, you cannot do that 😐
It's the first time I have heard of those additional derivatives beyond Acceleration. Kudos!
I have seen jerk on some t-shirts but never even heard of snap or crackle or pop. I really respect your search for and sharing of what you know. Thank you and never stop teaching.
“why are you such a da/dt”
He to us: never stop learning.
We to him:Never stop teaching ❤
Please make video on trigo problem I gave you
To remember these just use :“VeryAngryJoggersJumpCarefullyPassLookDown”
•Velocity
SI Unit: meters per second (m·s⁻¹)
Meaning: Rate of change of position.
•Acceleration
SI Unit: meters per second squared (m·s⁻²)Meaning: Rate of change of velocity.
•Jerk
SI Unit: meters per second cubed (m·s⁻³)Meaning: Rate of change of acceleration.
•Jounce (Snap)
SI Unit: meters per second to the fourth power (m·s⁻⁴)Meaning: Rate of change of jerk.
•Crackle
SI Unit: meters per second to the fifth power (m·s⁻⁵)Meaning: Rate of change of jounce.
•Pop
SI Unit: meters per second to the sixth power (m·s⁻⁶)Meaning: Rate of change of crackle.
•Lock
SI Unit: meters per second to the seventh power (m·s⁻⁷)Meaning: Rate of change of pop.
•Drop
SI Unit: meters per second to the eighth power (m·s⁻⁸)Meaning: Rate of change of lock.
Using this formula, you can derive that the position of a function in any time is given by:
x(t) = x(t0)+v(t0)*t+0.5a(t0)*t^2+1/6j(t0)*t^3+1/24s(t0)*t^4+1/120c(t0)*t^5+1/720p(t0)*t^6+1/5040l(t0)*t^7+1/40320d(t0)*t^8...
Im curious. What is the use of those things?
I learnt this this year in my cosmology course haha
distance
speed
acceleration
jerk
snap
crackle
pop
Excellent explaination!
I don't know who popped but after watching this video with full attention I definitely popped 😂😂
That's funny, there are pages in Wikipedia dedicated to jerk solely and the higher order derivatives of position. And while the former one exists in Slavic languages, the letter one exists only (besides English) in Italian and ... Arabic. The article in Italian references English names, while proposing corresponding translations to Italian. Arabic version is rather short, from what I can understand having no idea of Arabic letters they give the word only for snap, and some citation of English source. It might seem curious, that the names of 3 higher derivatives are inspired by the Rice Krispies mascots Snap, Crackle, and Pop. Rice Krispies being a Kellogg's product (breakfast cereal)
Intriguing! And Wiki doesn't mention d⁷y / dt⁷, the vomit. Also a Kellogs(TM) btw. So I looked for some Kellog's amusement park with roller coasters, but found on Swedish Wiki that he accidently invented corn flakes and first marketed it as a cure for masturbation, jerking until it pops. I don't know about the crackle part, however. The Swedish word for jerking is actually focking, like the movement the chimney sweeper does with his brush. I think the English language has adopted that word, but with some other context. Yes, this maths stuff is interesting.
Totally blew my mind!
During my engineering career and interest in aeronautics I did work with the jerk concept - even snaps on a few occasions, but not any further.
On a very basic physics example, if we ignore some of the other factors, a rocket taking off would have some constant jerk because acceloration is not constant, rather it is linear if the engines are producing a constant force but as it launches, it loosing fuel (mass) at a constant rate. This would mean a constant non zero jerk, linear acceloration, quadratic velocity, and cubic position. Again it's just 1 higher derivative.
And diminishing air density which lowers air resistance and amplifies the exhaust, And gravity is also decreasing a bit. But I guess that it is the inner workings of the rocket engines that dominates jerk and snap. Like with the Starship: "-Oops, there one of the engines crackled and popped!"
Back in my days of designing airbag crash sensors, I used jerk at times. I'd create PVAJ graphs from integrating and differentiating the Acc data from crash tests when I was characterizing events for simulation work.
I am a motion control expert/firmware writer ( retired ). My ICON is a motion controller. I have used the terms snap crackle and pop for years. The reason why most haven't heard those terms is because motion controllers don't require that you specify those terms making a move. The users usually gives a command with position, velocity and acceleration and some times jerk. Many times there is jerk limit that is set but not part of the command. I have NEVER seen where the user provides a snap, crackle and pop. The reason why is simple. The highest order polynomial that i have ever seen for a motion controller is a seventh order polynomial. x(t)=a+b*t+c*t^2+d*t^3+e*t^4+f*t^5+g*t^6+h*t^7. a is the initial position, b is the initial velocity. c is the initial acceleration/2 and d is the initial jerk/6. For a simple move, a is the current position and usually initial velocity, acceleration and jerk are 0. The commanded position, velocity, acceleration and jerk are used to compute e,f,g, and h of the seventh order polynomial. The user doesn't see this. This is why no one hears of snap, crackle and pop. Notice there is a need for one more name for the h coefficient. It has no semi official name. I call the h parameter the 'hop' parameter but no one else does that I know of or has even given it a name. I have seen jounce used for the derivate for jerk but I have never used it and most people use snap, crackle and pop.
Mr Prime Newtons only covered the very basics on this topic, but he is right about using the derivatives. To computer the values for e,f,g, and h one must take the derivative of x(t)=a+b*t+c*t^2+d*t^3+e*t^4+f*t^5+g*t^6+h*t^7 four times and then you have 4 equations to solve for the 4 unknowns e,f,g,and h.
Isn't this fun!!!!
Wow! I knew there's someone out there on the internet who has a better understanding of these terms. Thank you for sharing
@@PrimeNewtons I was just backing you up by letting the others know these are legit terms but are rarely used except by those that write motion control algorithms. Do a search for pnachtwey motion control to see who I am.
@@PrimeNewtons The internets is a funny place! You publish something you think is pretty unique and unknown out there, but some guy replies: "- I've worked with this for many years." Btw, you're doing this in West Africa, aren't you?
Can you talk about the curvature? Pretty please :) ?
I’ve seen snap, crackle and pop on rice crispy’s cereal. Had no idea they were such nerds.
I was taught: position, velocity, acceleration, jerk, snap, whip, slam, wham and bam. Nothing after bam is interesting to an engineer, because no material, can withstand the forces at the bam level. Learned these I n trying to analyze the dynamics of valve trains.
Sounds like you read that in some erotic novel. ;-)
Very good 👍
Proof that Isaac Newton liked Rice Krispies. 😏 Humble brag: I am both an Engineer and a Physicist. I got my undergrad degree in Engineering, worked for a few years, decided that I wanted to teach math and went back to school. Took a course in Abstract Algebra and decided that teaching math wasn't for me. I changed my major to physics and earned a Master's instead of a teaching credential. Over the years I've had to calculate jerk in several situations but no derivative higher than that. Until just now, I was unaware that higher derivatives even had names. Thanks, Newton.
This was rather linguistic lesson than maths )
You teach physics too ?
his name has 'newtons' in it
@@savitatawade2403 he was a mathematician aswell
Nope. Just passing
Read the title and came
💀
Using this formula, you can derive that the position of a function in any time is given by:
x(t) = x(t0)+v(t0)*t+0.5a(t0)*t^2+1/6j(t0)*t^3+1/24s(t0)*t^4+1/120c(t0)*t^5+1/720p(t0)*t^6...
Looks like a Taylor series. Is it an approximation of another function that is formulated in a more physically theoretically interpretable way? Can one derive such a function from a Taylor series that approximates it?
What do you even use snap, crackle and pop for?
You don't.
wow, that was unexpected, never heard of those, I found only jerk in my language
I'm a physicist and never heard anything beyond acceleration XD
You wouldn’t. In a natural system, they don’t generally occur. Particularly if your looking at
@@randallthomas5207 duh
Ah, so you're a cosmologist! It isn't that stuff moves through space, it is just that the space itself between stuffs is getting larger. I wonder, since spacetime is a single thing, what does inflation do to the time dimension?
Cosmologic student arguing with his high school teacher about why he answered 0 velocity on the exam: "- I assumed redshift 13.76 and then the expansion of the distance fits with velocity 0. I didn't account for the crackling, but it was a simplified question after all."
@@bjorntorlarsson I'm not a cosmologist (thank God) but you know that before becoming that monster you had to do (at least) 3 to 5 years of physics, right?
And again, never heard anything beyond acceleration because it's useless
There derivatives and integrals of displacement go up to the 12th, as far as I've seen.
Can you differentiate "The First Principle" of derivatives using The First Principle and also if possible, do the same using some other method?
I don't understand your question
This video reminded me of Kellogg's Rice Crispies! Snap, Crackle, and Pop!
Yeah me too ... I had to check the date (nope, not April Fool's Day) What is the connection? Which came first?
@@lornacy @BartBuzz Snap, crackle and pop are actually named after the rice crispies figures!
@@jeroenvandorp ❤️ This overlap of popular culture and math/science definitions never fails to delight me. I just learned that the end of a stegosaurus tail is called a "Thagomizer" (in memory of the late Thag Simmons) after a Far Side cartoon. We have come a long way from when everything was in Greek or Latin in order to make it incomprehensible to the uneducated.
Awsome
I seem to recall one of Newton's more obscure laws concerning bodies in motion constrained in a bowl of milk. But, I can't recall the details...
1:00 ok my english is a bit to less but i try to follow you!
2:21 ok unfortunatly i don´t knowe how to deaL WITH deriverys but ok
3:00 you are surely right!
4:32 ok you just right definitions here right?
9:14 is the only thing happend here we devide by time ?
10:10 the halve i do not realy understand but it sounds interesting!
LG
K.Furry
I searched up "snap crackle pop" and got a google page dedicated to rice crispy characters
I thought about it when I had not learnt derivative
7:22 that's an accurate point🤣🤣🤣🤣🤣
Wow
The only reasonable case is that the last three are a Rice Krispies reference.
I use snap, crackle and pop too.
🤣
The moment I heard he was using Snap, Crackle and Pop, I started to become suspicious that this was some delayed April Fools video
@@robertsandy3794 yeah i was thinking the same thing. it seemed too good to be true
I will make a lot of engineer mad, but what if we integrate the position according to time ? what if we do it again ?
I like the way you think! What would that even mean? Got to consider!!
Isn't that absement, absity, abseleration, abserk, etc.?
This would've been a perfect april fools video
I think these concepts can be applied in meteorology, the study of weather. When the acceleration rotation of earth is fixed, the weather is calm, but when it changes, we can observe a windy weather. The changes in wind velocity is expresed in the change in the jerk of rotation. Thus the higher derivatives can be concieved in a perspective manner. In other words, the stand position where I am measuring natural phenomena.
This gives rise to another question: what do the antiderivatives of the position function indicate?
Mass?
The weather analogue is good, I think you're onto something there.
Sir, please help, i am completely destroyed 😢
What's wrong? What do you need help with?
Bro my dirty mind💀
you are not the only one
Which word?
Math and Rice Crispies LOL
😂i like how he brings the jokes
Surely the SEVENTH DERIVATIVE OF POSITION is just physicists taking the piss. Especially once you start giving them breakfast-cereal names!
Is this a late April Fools joke haha
No joke. Physicists just have the best senses of humour of all the sciences. Snap, Crackle, and Pop truly are the 4th, 5th, and 6th derivatives of position.
Man , I love you Bruh!!!! This is amazing and wonderful teaching!!! I love it!! The plane making crackling sounds 🤣🤣🤣
@@davidmelville5675 An astrophysicist, an engineer and a mathematician on a train through Scotland as they see a herd of black sheep through the window. The astrophycisist says:
"- Look, in Scotland all sheep are black!"
The engineer responds:
"- No, we can only say that in Scotland SOME sheep are black."
The mathematician:
"- In Scotland there exists at least one herd of sheep that are all black on at least one side."
@@bjorntorlarsson Haha.
I heard a slightly different version of that joke.
What's the difference between a mathematician and a normal person?
A mathematician and a normal person were travelling on a train. Another passenger indicated a sheep out the window and asked them "what colour is that sheep?"
The normal person glanced at the sheep and replied "black".
The mathematician glanced at the sheep and replied "black.... on this side".
@@davidmelville5675 Gauss as a child counting sheep to fall asleep: (n+1)/2. Snore.
Mathematicians hate assumptions. When they on popular demand were requested to define amounts (numbers) they reluctantly assumed that new concept. And building upon what they already had assumed, which was nothing, already defined as 0 (that's why it's not an amount and kind of doesn't fit as well as the amounts do in for example division). They used what they had and definied the amount of nothing to be 1. And the amount of: nothing and the amount of nothing, to be 2. Nothing, the amount of nothing, and the amount of both nothing and the amount of nothing, is 3. And from there on.
I kid you not, in set theory they do speak like that! No wonder that even a simple thing like primes gets so complicated. umbers are strange stuff. And no wonder that most mathematicians never use numbers, being skeptical to that foreign new assumption introduced.