https://www.khanacademy.org/science/ap-physics-c-mechanics/x077f5683c1428fac:kinematics/x077f5683c1428fac:kinematic-quantities/v/introduction-to-ap-physics-c-mechanics 2026-06-30T04:10:47.863261627Z Introduction to AP Physics C: Mechanics AP Physics C: Mechanics is a calculus-based, introductory college-level physics course. In this course you'll explore the following topics: Kinematics; Forces and translational dynamics; Work, energy, and power; Linear momentum; Torque and rotational dynamics; Energy and momentum of rotating systems; Oscillations. Mahesh Shenoy video https://cdn.kastatic.org/ka_thumbnails_cache/5ba5ff82-eaf4-440b-8e79-b11cc63e8961_1280_720_base.png Introduction to AP Physics C: Mechanics AP Physics C: Mechanics is a calculus-based, introductory college-level physics course. In this course you'll explore the following topics: Kinematics; Forces and translational dynamics; Work, energy, and power; Linear momentum; Torque and rotational dynamics; Energy and momentum of rotating systems; Oscillations. https://cdn.kastatic.org/ka-youtube-converted/_pH22LAM7Ek.mp4/_pH22LAM7Ek.mp4 189 Kinematic quantities https://www.khanacademy.org/science/ap-physics-c-mechanics/x077f5683c1428fac:kinematics/x077f5683c1428fac:kinematic-quantities/v/kinematic-quantities-rates-of-change 2026-06-16T19:28:41.750798603Z Kinematic quantities: Rates of change 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. Mahesh Shenoy video https://cdn.kastatic.org/ka_thumbnails_cache/f9d04237-29fc-45c1-aa7e-c5db35a552a6_1280_720_base.png Kinematic quantities: Rates of change 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. https://cdn.kastatic.org/ka-youtube-converted/8bHhZ66tvfo.mp4/8bHhZ66tvfo.mp4 924 Kinematic quantities https://www.khanacademy.org/science/ap-physics-c-mechanics/x077f5683c1428fac:kinematics/x077f5683c1428fac:kinematic-quantities/a/kinematic-quantities-rates-of-change 2026-06-30T12:40:47.173333589Z Learn and try: Kinematic quantities: Rates of change Learn how the displacement, velocity, and acceleration of an object are defined over different time intervals. Explore how we can take the limit of an average rate of change to obtain an instantaneous rate of change. article https://www.khanacademy.org/science/ap-physics-c-mechanics/x077f5683c1428fac:kinematics/x077f5683c1428fac:kinematic-quantities/v/kinematic-quantities-accumulations-of-change 2026-06-16T19:28:41.750798603Z Kinematic quantities: Accumulations of change An object’s change in velocity during a time interval is equal to the integral of the object’s acceleration with respect to time over that interval. On a graph of acceleration as a function of time, the change in velocity is represented by the signed area between the curve and the time axis. An object’s change in position (displacement) during a time interval is equal to the integral of the object’s velocity with respect to time over that interval. On a graph of velocity as a function of time, the displacement is represented by the signed area between the curve and the time axis. Mahesh Shenoy video https://cdn.kastatic.org/ka_thumbnails_cache/9ade8fc3-c535-470b-bd7e-a62388a62886_1280_720_base.png Kinematic quantities: Accumulations of change An object’s change in velocity during a time interval is equal to the integral of the object’s acceleration with respect to time over that interval. On a graph of acceleration as a function of time, the change in velocity is represented by the signed area between the curve and the time axis. An object’s change in position (displacement) during a time interval is equal to the integral of the object’s velocity with respect to time over that interval. On a graph of velocity as a function of time, the displacement is represented by the signed area between the curve and the time axis. https://cdn.kastatic.org/ka-youtube-converted/ClCSbLcKDyE.mp4/ClCSbLcKDyE.mp4 1030 Kinematic quantities https://www.khanacademy.org/science/ap-physics-c-mechanics/x077f5683c1428fac:kinematics/x077f5683c1428fac:kinematic-quantities/a/kinematic-quantities-accumulations-of-changes 2026-06-30T15:40:36.644448525Z Learn and try: Kinematic quantities: Accumulations of change Learn how the value of a quantity, such as velocity or position, can be found by tracking earlier accumulated changes in the quantity. Discover how the change in a quantity is represented by the signed area bounded on the graph of that quantity's rate of change. Explore how bounded areas can be computed using geometry or integration. article https://www.khanacademy.org/science/ap-physics-c-mechanics/x077f5683c1428fac:kinematics/x077f5683c1428fac:kinematic-quantities/e/kinematic-quantities 2026-06-30T04:10:47.863261627Z Kinematic quantities Apply your knowledge of kinematic quantities in this set of free practice questions. Emily Cizmas exercise