Integrals in Kinematics Review for AP Physics C: Mechanics (6:51)
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.
0:11 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.