Jump to content

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.
Want Lecture Notes?

Content Times:
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. 

Multilingual? Please help translate Flipping Physics videos!

AP Physics C Review Website

Next Video: AP Physics C: Momentum, Impulse, Collisions and Center of Mass Review (Mechanics)

Previous Video: AP Physics C: Work, Energy, and Power Review (Mechanics)

Please support me on Patreon!

Thank you to Mark Kramer and Aarti Sangwan for being my Quality Control team.

Recommended Comments


There are no comments to display.

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Terms of Use

The pages of APlusPhysics.com, Physics in Action podcasts, and other online media at this site are made available as a service to physics students, instructors, and others. Their use is encouraged and is free of charge. Teachers who wish to use materials either in a classroom demonstration format or as part of an interactive activity/lesson are granted permission (and encouraged) to do so. Linking to information on this site is allowed and encouraged, but content from APlusPhysics may not be made available elsewhere on the Internet without the author's written permission.

Copyright Notice

APlusPhysics.com, Silly Beagle Productions and Physics In Action materials are copyright protected and the author restricts their use to online usage through a live internet connection. Any downloading of files to other storage devices (hard drives, web servers, school servers, CDs, etc.) with the exception of Physics In Action podcast episodes is prohibited. The use of images, text and animations in other projects (including non-profit endeavors) is also prohibited. Requests for permission to use such material on other projects may be submitted in writing to info@aplusphysics.com. Licensing of the content of APlusPhysics.com for other uses may be considered in the future.

  • Create New...