Instantaneous Velocity, Definition of Derivative

Instantaneous Velocity, Definition of Derivative. In this video, I use the definition of the derivative to find the instantaneous velocity of a particle. I find when the velocity is 30 meters per second and also when the particle is at rest.

Category:

Education

Tags:

• Instantaneous
• Velocity
• Definition
• Derivative
• calculus

[KamDaug]

I honestly dont see the point in doing it this way. if you're gonna use calculus in a question, you dont really need to do it from the first principles.

[patrickJMT]

@KamDaug i honestly don't see the point in your complaining.

[calbright12]

how can the particle be at rest after 3 seconds if at 18 seconds it is traveling 30 meters per second?

[patrickJMT]

@calbright12 cause it stops, and then it starts moving again. why is that not possible?

[lilonotstitch]

THANK YOUUUUUUUUUUUUUUUUUUU dancing like foo wiht your pants on the ground lol

[heliscat]

I finally understand why the "h" vanishes! I have a not so good instructor.Thank you!

[eCicerone]

@patrickJMT

Thanks for a straight forward and not too long winded video!

However, could you perhaps show how to find out the instantaneous speed or velocity when t = 5 s (or at any other specific time)?

btw why do you use h->0 instead of (delta)t->0, maybe not a big deal anyway.