🚀ACCELERATION, VELOCITY and DISPLACEMENT using DERIVATIVES and INTEGRALS: Formulas and examples

Motion problems ⚽ with derivatives and integrals.

In this video, I recall the relationship between Displacement (or position), Velocity and Acceleration, using Derivatives and Integrals.
Then I go on to solve a kinematics EXERCISE on linear motion illustrating this relation.

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▬ Parts of the video ▬▬▬▬▬▬▬▬▬▬
0:00 - Intro
0:12 - How are Displacement, Velocity and Acceleration related?
1:10 - Example questions
1:56 - Solving question (a)
2:54 - Solving question (b)
4:35 - Credits and Bloopers (outtakes)

▬ References ▬▬▬▬▬▬▬▬▬▬
Songs in the background, in order of appearance:
1. During the intro and the theoretical explanation: “Potato Deal”, by Craig MacArthur.
2. While reading the questions and solving question (a): "Complicate ya", by Otis McDonald.
3. While solving question (b) until the end: "Hi Q", by Diamond Ortiz.

Software used for the mathematical animations in the introduction:

#integrals #kinematics #calculus

[alejandrasheher]

Kiko can you win a nobel prize for being the best math teacher? i think yes; and it goes to you lol

[winters.]

soy fan kiko ill make u a poster when we get back to school

[iffatzahra]

But how to integrate acceleration if values (as given in example) are not given ???