@@LEBIC_officialNewton's equations and theorems were extremely simple because it was backed by maths and anyone with a bit of mathematical knowledge could verify it.
By the way nice videos and just to let you know. I have completed my engineering 6 years ago but calculus of intermediate level is fun at next level. I am brushing my concepts again. Keep up the good work professor. Thanks
Average speed = distance travel/time Average velocity = change in position/time If you travel on X axis from say 50m to 20m then your position changed by negative 30m thus your average velocity is negative, but average speed is positive (you traveled 30m). Also if you travel over the same length more than once your average speed can be more than average velocity for a given time interval.
@@meltdown6856 It still has a direction of motion. The magnitude of the displacement is the same as the distance, but velocity is a rate of displacement over time and is also a vector.
excellent way of explaining. I got amazed with your explanation and did lot of calculus sums. Sir I will be sending very special 4 questions through email to you. Please be kind enough to reply. Interestingly waiting for your explanation . Thanks
@@topiado2073 sorry i am a bit late but i think professor dave misunderstood your question in this context secant means a line that intersects a curve at more than 1 point
In this and the previous video, it's true that it *looks* like you are converging on a specific value. But that doesn't prove it is. Nor is it very helpful when the value is not a simple rational number. These video would have been better if they immediately went on to explain how we prove specific values.
there is a mistake i guess,you shouldn't put Galileo number4.9 to calculate the S( distance),then using it to conclude or limit the velocity as 4.9.....
I guess that distance equation 4.9t^2 only works for this apple case, since diffrenet masses will get a different acceleration? Why all of those prominent veteran mathematicians were so obssesed with apples?
@@ProfessorDaveExplains Oh! I see.. so he was calculating this while throwing cannonballs from the pisa tower (hope nobody got hurt) so that air resistance would affect equally because of the same shape (and material?) and mass can be neglected then, So he found the acceleration due to earth's gravity to be about 9.8 m/s^2 and just integrated twice to get the distance equation? and that was even before newton and leibnitz were born. What a beast!
"Any fool can make something complicated. It takes a genius to make it simple."
So you saying Issac Newton was fool ?
@@LEBIC_officialNewton's equations and theorems were extremely simple because it was backed by maths and anyone with a bit of mathematical knowledge could verify it.
@@LEBIC_official Missed the point.
depends on who youre teaching really
Now I understanding the concept of differentation...your teaching style is superb Professor!!!!!
You’re probably the best teacher in the unicerse! Thank you, I understand iit so clear!
This series is exactly what I needed thanks!
Makes me feel smart when I understand this stuff! 😂 Great series, Professer!
Thank you sir for your dedication and for making this free!
This is strangely easy.. I don't know what is waiting for us in the next videos. But I'm still excited!
I am glad i found this channel
By the way nice videos and just to let you know. I have completed my engineering 6 years ago but calculus of intermediate level is fun at next level. I am brushing my concepts again.
Keep up the good work professor.
Thanks
Really he knows lot about everything he is a master teacher giving free lectures to us he is so kind.😊
Very easy to understand when u teach
perfect i need this video
Really good!
which one of you disliked this 😭
i love you professor dave
Sir, please make a video to "Find a radius of curvature and center of curvature using differentiation method" ...........
He helped me so much in all subjects 😅
I need to watch it many times to cristalize in my mind, 😁😂
Average speed
= distance travel/time
Average velocity
= change in position/time
If you travel on X axis from say 50m to 20m then your position changed by negative 30m thus your average velocity is negative, but average speed is positive (you traveled 30m). Also if you travel over the same length more than once your average speed can be more than average velocity for a given time interval.
Thanks bro. Appreciate it
Thanks
At 1.59 I believe it should be displacement as velocity is vector quantity.
stop nitpicking
Well, for a freely falling apple, distance n displacement is the same cuz it’s traveling In a straight line without changing direction
@@meltdown6856
It still has a direction of motion. The magnitude of the displacement is the same as the distance, but velocity is a rate of displacement over time and is also a vector.
✨Thank you, Sir, 🙏🌺✨
I write notes majorly depend on you. Just like the Taylor series that depends on a function.
Me: "God! doing all of this is a hustle for sure!"
Derivatives: "Don't worry my child"
If you want him to make money but can't afford patreon, just watch half of the unskippable ad. If you skip the ad asap, no money goes to the creator.
Better than my actual college courses I pay for out of pocket!
You are amazing
@1:15 where does 4.9t^2 come from? Why 4.9 and why squared?
❤️❤️❤️❤️
excellent way of explaining. I got amazed with your explanation and did lot of calculus sums. Sir I will be sending very special 4 questions through email to you. Please be kind enough to reply. Interestingly waiting for your explanation . Thanks
thank you
Done.
I watched it.
tanks sir
i don't understand, why we don't use a*t ?
Why did you use 0.1s in the denominator? Edited it's because the denominator should change alongside the nominator
You said the slope at x=2 is y=2x-1, but I don't understand how you calculated that?
Look at the first part
"You Are The Ghost of Change... But I Will Always Stay The Same!"
👌
If its instantaneus why is it divided by seconds?
I think velocity does not exist at instant, because velocity is about change and instant is so small that nothing could be changed. Where am I wrong?
Sir what is mean by secant here, is it second position you mean, bit urgent😌
visit my trigonometry tutorials to learn the definitions of the trig functions
Okhey thanks a lot sir
@@topiado2073 sorry i am a bit late but i think professor dave misunderstood your question
in this context
secant means a line that intersects a curve at more than 1 point
@@timetraveller2818 thanks a lot..
@@topiado2073 your welcome
4.9 is exactly half of acceleration due to gravity. Where does this 4.9t^2 come from?
there was a 1/2 in the equation
And the ½ came from anti-differentiation.
@@NoActuallyGo-KCUF-Yourself thank you
Привет из Апэка
Привет я тоже в АПЕК-е учусь. ЭС 3/20 K
All of this because of an apple😢
In this and the previous video, it's true that it *looks* like you are converging on a specific value. But that doesn't prove it is. Nor is it very helpful when the value is not a simple rational number. These video would have been better if they immediately went on to explain how we prove specific values.
No. Go back and review how to evaluate limits if you are hung up on that part.
there is a mistake i guess,you shouldn't put Galileo number4.9 to calculate the S( distance),then using it to conclude or limit the velocity as 4.9.....
I guess that distance equation 4.9t^2 only works for this apple case, since diffrenet masses will get a different acceleration? Why all of those prominent veteran mathematicians were so obssesed with apples?
No it works for any object, provided that wind resistance is negligible.
@@ProfessorDaveExplains Oh! I see.. so he was calculating this while throwing cannonballs from the pisa tower (hope nobody got hurt) so that air resistance would affect equally because of the same shape (and material?) and mass can be neglected then, So he found the acceleration due to earth's gravity to be about 9.8 m/s^2 and just integrated twice to get the distance equation? and that was even before newton and leibnitz were born. What a beast!
@@nealfurman2013
No, but something like that.
you dont need to try number closer and closer. just use x, x+1 slope and x , x-1 . the average of these 2 slope is the answer.
That only works for quadratic functions, which have linear derivatives.