Kinematic quantities: Rates of change | AP Physics | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now. https://www.khanacademy.org/science/ap-physics-c-mechanics An object’s average velocity over some interval is the object’s change in position (displacement) divided by the time interval over which that displacement occurs. Taking the limit of this quotient as the time interval goes to zero gives the object’s instantaneous velocity at some time, which is the derivative of position with respect to time. An object’s average acceleration over some interval is the object’s change in velocity divided by the time interval over which that change in velocity occurs. Taking the limit of this quotient as the time interval goes to zero gives the object’s instantaneous acceleration at some time, which is the derivative of velocity with respect to time. Sections: 00:00 - Intro 00:27 - Visualizing position over time 02:36 - Average velocity 06:20 - Instantaneous velocity 07:59 - Plotting velocity as a function of time 10:39 - Average acceleration 11:52 - Instantaneous acceleration 12:26 - Plotting acceleration as a function of time 14:17 - Summary ------------------ Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc