AP Physics C: Integrals in Kinematics Review (Mechanics)

Calculus based review of definite integrals, indefinite integrals, and derivatives as used in kinematics. Graphs of position, velocity, and acceleration as a function of time are compared using derivatives and integrals. Two of the uniformly accelerated motion (or kinematics) equations are derived using indefinite integrals.
For the calculus based AP Physics C mechanics exam.

0:00 Intro
0:11 Rearranging the acceleration equation to get change in velocity
1:41 Rearranging the velocity equation to get change in position
2:06 Comparing graphs of position, velocity, and acceleration as a function of time
3:28 Using the integral to solve for one of the uniformly accelerated motion equations
4:44 Using the integral to solve for a second uniformly accelerated motion equation

FYI: I do not teach integrals until we get to Work. By then the students who are taking calculus concurrently with AP Physics C Mechanics have had enough experience with derivatives that they only freak out a little bit when I teach them integrals.

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[kijjiketchme]

The students in this video are highly entertaining. Nicely done.

[nelsonphysics]

I love your videos!! They are excellent teaching aids.

Slight slip of the tongue at 0:27 – should say "multiply both sides by dt" :)

[BoZhaoengineering]

Cheers . This is just where the fundamental of calculus comes from and it doesn't matter delta t, a period of time or differential t, dt, a very tiny small of period of time. The sign of integral just gives you the area under curve. As a result, integral about dt provide you instance x (t) or/and v (t).

[camilamendes]

You are the best youtube teacher for me 😍😍

[jjbanks]

thank you so much for making these! they’re so so helpful especially this year with online learning!

[aartisangwan]

Perfect. Well explained. I am not sure if review videos covered Vectors any where!! You mentioned them in adding vectors component of first video. Just a thought.

[danielkwon]

which video includes two masses attached to string placed on a wheel and finding torque?

[annugupta]

Thank you so much sir for this wonderful video.