Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions

Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions: How to find the Velocity and Acceleration of a particle when the particular motion is described by a vector function (space curve). How to integrate to find a position function from acceleration or velocity. How to define acceleration as "T" and "N". A look at Projectile Motion.

[ronnies.]

A professor that reminds his student that he's there to make sure they understand and not breeze through material. Those exist? Great job, sir.

[dhickey]

It's 2022 and these are still the best calc3 videos. Thank you, Professor Leonard.

[eunuchcommunity]

0:00:00 Velocity & Acceleration
0:03:50 Example 1
0:10:15 Example 2
0:22:22 Example 3
0:43:46 Example 4 (Projectile Motion)

[possiblepilotdeviation]

So I'm only in Cal II this semester. It's an online course, and I have been using your videos exclusively to learn the material. We just took our midterm exam which covered limits and forms of integration. I made a 100 on the exam. I don't think I have ever made a 100 on an exam before, close but never 100%. I can't thank you enough for everything you do! I'm looking forward to starting Cal III.

Also, I'm just a poor college student right now, but as soon as I can spare enough to donate to the cause, I will, and gladly.

[juanortegon]

Professor Leonard is the best calculus teacher I have ever seen.

[davidlunacruz]

Professor, Comedian, athlete, fashion icon... what a legend

[cajintexas]

What I really love is how you go over the algebra for us slow kids.

[alifrran]

Prof Leonard, you are so good at teaching. I don't know how to thank you. I hope you read about Islam and be a Moslem to see you in heaven.

[ianhnizdo]

I've watched his entire Calc II and almost every Calc I video (I skipped the first few videos in section 0). I've learned more watching him then from my professors at my university.

[elifmutafoglu]

keep caring about your students. we will care about the subject.

[Mehaksaini]

Studied 1st year physics for 2 years and never conceptually understood what Prof Leonard explained in two minutes about height. I wish I could have you as my mentor. You are brilliant beyond belief. Thank

[scottgordon]

Professor Leonard - you are the GOAT. Appreciate you and all your math videos!! Your students are lucky to have you as their professor.

[georgesadler]

Professor Leonard, thank you for another outstanding video/lecture on Velocity and Accelerations of Vector Functions in Calculus Three. I am very familiar with this topic in Calculus One, which is presented in a single variable.I hope students worldwide are enjoying these incredible videos.

[doomerman]

Hey professor, I have been watching your videos for calc 2 and got an A and am currently in calc 3 and I had a suggestion, I sometimes read paul's math online notes and I think your notes would be invaluable to have in that format on like a website or something, best regards.

[iamasian]

Impact velocity=speed. Which means the velocity function should really have magnitude brackets around it at 1:01:55

[Iamumars]

bruh! u made my day!! watching it in 2022...u don't know what have u done for me! thnx XD

[kenmeyer]

If Prof. Leonards students weren't so lazy or sleepy and asked questions, these videos would be even more valuable. Clearly, here and there a few questions arise, which he doesn't adress. Why don't the open their mouths and ask?

[kingplunger]

Pretty sad to see that the later videos have less and less views. Heck, I don't even have a calc course and already did the "math methods" which is about equivalent at my university, but I still enjoy watching these for revision.

[TheRickybergman]

Great video as usual. For those that are concerned with the minute details, do realize there is a difference between spatial derivatives and time derivatives. The derivative of y with respect to x can be written as y'(x). That is a spatial derivative. For time though, say you have the derivative of y with respect to time. That is actually written as y dot (t) (y with the little dot above). I only say this to bring awareness. I lost serious points for putting y prime instead of y dot on a midterm. Happy hunting!

[alexisnicolas]

Omg i'm watching this on March 1st :, )