AP Physics C: Mechanics AP物理C：力学
📌 Course at a glance
· 5 units · key topics drilled across the official outline
· Next exam: 2026-05-11 · 2026-05-11
📝 Full chapter-by-chapter lecture walkthroughs are being written. This page is the course outline — every unit and topic that will be covered, with key concepts you can already start to recognise. Use it as a study map; the chapter notes drop in over the coming weeks.
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Course outline
Unit 1 · Kinematics 运动学（微积分方法）
Exam weight: 14-20%
1.1 — Motion in One Dimension 一维运动
· Position function x(t) · Velocity as derivative of position · Acceleration as derivative of velocity
1.2 — Motion in Two Dimensions 二维运动
· Vector components · Parametric equations for projectile motion · Trajectory equations
1.3 — Kinematic Equations with Calculus 运动学方程的微积分形式
· Integral representation of displacement · Non-uniform acceleration · Area under v-t graphs
1.4 — Non-Constant Acceleration 非恒定加速度
· Variable acceleration motion · Solving differential equations · Integral relationships between velocity and position
1.5 — Projectile and Circular Motion Analysis 抛体运动与圆周运动分析
· Calculus-based analysis of projectile motion · Angular velocity and angular acceleration · Tangential and normal acceleration
Unit 2 · Newton's Laws of Motion 牛顿运动定律（含微积分应用）
Exam weight: 20-26%
2.1 — Newton's Laws with Calculus Applications 牛顿定律的微积分应用
· Differential form of F = ma · Motion under variable forces · Force as a function of position or time
2.2 — Friction and Drag Forces 摩擦力与阻力
· Static and kinetic friction · Air resistance · Terminal velocity · Differential equations with drag
2.3 — Forces in Circular Motion 圆周运动中的力
· Centripetal force analysis · Non-uniform circular motion · Conical pendulum
2.4 — Applications with Differential Equations 微分方程的应用
· Differential equations for velocity-dependent forces · Exponential decay · Separation of variables
2.5 — Systems of Particles 质点系
· Newton's laws for multi-body systems · Constraint conditions · Tension analysis
Unit 3 · Work, Energy, and Power 功、能量和功率（含变力）
Exam weight: 14-20%
3.1 — Work Done by Variable Forces 变力做的功
· Integral definition of work · Area under force-displacement graphs · Line integrals
3.2 — Work-Energy Theorem with Calculus 动能定理的微积分形式
· Calculus derivation of work-energy theorem · Integral of net work
3.3 — Potential Energy Functions 势能函数
· Potential energy function U(x) · Relationship between force and potential energy: F = -dU/dx · Potential energy diagrams
3.4 — Conservation of Energy with Calculus 能量守恒的微积分形式
· Determining conservative forces · Potential energy curves and equilibrium · Stable and unstable equilibrium
3.5 — Power 功率
· Instantaneous power P = dW/dt · P = F dot v · Relationship between power and energy
Unit 4 · Systems of Particles and Linear Momentum 质点系与线动量
Exam weight: 14-20%
4.1 — Center of Mass 质心
· Integral calculation of center of mass · Center of mass of continuous bodies · Center of mass motion theorem
4.2 — Impulse and Momentum 冲量与动量
· Integral definition of impulse · Calculus form of impulse-momentum theorem · Impulse of variable forces
4.3 — Conservation of Momentum 动量守恒
· Conservation of system momentum · Collision analysis · Explosions and separations
4.4 — Collisions in One and Two Dimensions 一维和二维碰撞
· Analytical solutions for elastic collisions · Inelastic collisions · Calculating energy loss
4.5 — Rocket Propulsion 火箭推进
· Variable mass systems · Thrust equation · Tsiolkovsky rocket equation
Unit 5 · Rotation 转动
Exam weight: 20-26%
5.1 — Rotational Kinematics 转动运动学
· Angular displacement, angular velocity, angular acceleration · Rotational kinematic equations · Tangential and radial acceleration
5.2 — Moment of Inertia 转动惯量
· Integral calculation of moment of inertia · Parallel axis theorem · Moment of inertia for common shapes
5.3 — Torque and Rotational Dynamics 力矩与转动动力学
· Tau = I alpha · Cross product of torque · Newton's Second Law for rotation
5.4 — Angular Momentum 角动量
· L = I omega · Angular impulse-momentum theorem · Conservation of angular momentum
5.5 — Rolling Motion 滚动运动
· Pure rolling condition v = R omega · Energy of rolling · Rolling on incline problems
5.6 — Rotational Energy 转动能量
· Rotational kinetic energy · Work-energy theorem for rotation · Energy conservation with rotation