AP Physics 1: Algebra-Based
Eight units of mechanics and fluids, with standards-linked instruction, formative practice, and the science practices used on the AP exam.
Follow the eight units in course order. Each chapter brings together new AP lessons and relevant readings from the original Physics I book. Use the topic tags to trace a lesson to the supplied course and exam description.
Effective Fall 2024 · updated summer 2026
- Topic chapters
- 8
- AP units
- 8
- Readings
- 52
- Checks
- 16
Learning path
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Motion and vectors ↗
Describe the same motion with signed vectors, graphs, equations, and a stated reference frame.
Before this topic: Signed numbers and units; Reading slopes and areas on graphs; Right triangles and basic trigonometry.
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Forces and interactions ↗
Choose a system, identify its interactions, and use force diagrams to explain equilibrium or acceleration.
Before this topic: Motion and vector components; The distinction between velocity and acceleration.
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Circular motion and gravitation ↗
Explain curved motion using real radial forces and connect gravitational fields with circular orbits.
Before this topic: Newton’s laws and force diagrams; Vector components and constant-speed motion.
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Energy, work, and power ↗
Track energy stored and transferred through work, dissipation, and power within a stated system.
Before this topic: Force models and displacement; Graph areas and slopes.
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Momentum and collisions ↗
Use system momentum and external impulse to analyze interactions, then judge collision models from energy evidence.
Before this topic: Vector components; Systems and external forces; Kinetic energy and uncertainty intervals.
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Rotation and rolling ↗
Connect angular motion, torque, inertia, energy, and momentum to explain rotating systems and contact motion.
Before this topic: Circular motion and force diagrams; Work and energy conservation; Linear momentum and impulse.
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Oscillations ↗
Explain restoring-force motion, connect its graphs and energy, and use measurements to test an oscillator model.
Before this topic: Newton’s laws; Spring-force graphs; Energy conservation and graph slopes.
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Fluids ↗
Connect density, pressure forces, buoyancy, and flow conservation to explain fluid behavior and test model predictions.
Before this topic: Force balance and acceleration; Energy conservation; Graph slopes and projectile motion.
AP units
Each official unit has a complete practice set and separate worked solutions. Topic chapters that build toward the unit are listed with it.
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Unit 1
Kinematics
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Unit 2
Force and Translational Dynamics
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Unit 3
Work, Energy, and Power
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Unit 4
Linear Momentum
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Unit 5
Torque and Rotational Dynamics
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Unit 6
Energy and Momentum of Rotating Systems
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Unit 7
Oscillations
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Unit 8
Fluids
Find a topic resource or check understanding
Browse readings and complete checks by topic.
- Scalars and Vectors in One DimensionReading · Motion and vectors
Distinguish distance from displacement and draw one-dimensional vectors on a scale.
- Displacement, Velocity, and AccelerationReading · Motion and vectors
Connect position, elapsed time, velocity, and acceleration without confusing their signs.
- Representing MotionReading · Motion and vectors
Translate among motion diagrams, equations, graph slopes, and signed graph areas.
- Reference Frames and Relative MotionReading · Motion and vectors
Compare measurements made by observers moving at different constant velocities.
- Vectors and Motion in Two DimensionsReading · Motion and vectors
Resolve motion into components and use one shared time for a projectile.
- Systems and Center of MassReading · Forces and interactions
Choose the system boundary and locate a mass-weighted center of mass.
- Forces and Free-Body DiagramsReading · Forces and interactions
Draw the actual interactions on one object and write component equations.
- Newton’s Third LawReading · Forces and interactions
Keep Newton’s third-law partners on separate objects and identify internal forces.
- Newton’s First LawReading · Forces and interactions
Recognize force balance in both stationary and constant-velocity systems.
- Newton’s Second LawReading · Forces and interactions
Connect the external force sum to center-of-mass acceleration.
- Kinetic and Static FrictionReading · Forces and interactions
Choose static or kinetic friction from the motion at the contacting surfaces.
- Spring ForcesReading · Forces and interactions
Measure spring deformation from relaxed length and distinguish spring force from net force.
- Gravitational ForceReading · Circular motion and gravitation
Connect inverse-square gravity, local field strength, real weight, and apparent weight.
- Circular MotionReading · Circular motion and gravitation
Distinguish radial from tangential acceleration and derive a circular-orbit period relation.
- Motion of Orbiting SatellitesReading · Rotation and rolling
Bring gravity, energy, and angular momentum together to analyze satellite motion.
- Translational Kinetic EnergyReading · Energy, work, and power
Compare translational kinetic energy while keeping mass, speed, and reference frame clear.
- WorkReading · Energy, work, and power
Calculate work from force direction and signed force-displacement area.
- Potential EnergyReading · Energy, work, and power
Choose an energy reference and describe spring and gravitational configuration energy.
- Conservation of EnergyReading · Energy, work, and power
Build an energy account that includes external work and thermal energy when needed.
- PowerReading · Energy, work, and power
Interpret power as an energy-transfer rate and distinguish constant-force from constant-power motion.
- Rotational Kinetic EnergyReading · Rotation and rolling
Build rotational kinetic energy from the motions of the system’s parts.
- Torque and WorkReading · Rotation and rolling
Use torque-angle area to connect rotational work and energy transfer.
- Linear MomentumReading · Momentum and collisions
Draw object and system momentum vectors in a stated reference frame.
- Change in Momentum and ImpulseReading · Momentum and collisions
Connect force-time area and momentum-time slope to impulse.
- Conservation of Linear MomentumReading · Momentum and collisions
Choose a system and test when negligible external impulse supports momentum conservation.
- Elastic and Inelastic CollisionsReading · Momentum and collisions
Compare kinetic-energy evidence to distinguish elastic and inelastic collisions.
- Angular Momentum and Angular ImpulseReading · Rotation and rolling
Connect torque-time area and angular momentum change to angular impulse.
- Conservation of Angular MomentumReading · Rotation and rolling
Track external angular impulse when a rotating system changes its shape.
- Rotational KinematicsReading · Rotation and rolling
Represent angular position, velocity, and acceleration with equations and graphs.
- Connecting Linear and Rotational MotionReading · Rotation and rolling
Connect angular motion with arc length, tangential speed, and acceleration.
- TorqueReading · Rotation and rolling
Draw application points and lever arms to predict torque.
- Rotational InertiaReading · Rotation and rolling
Compare mass distributions and calculate rotational inertia about specified axes.
- Rotational Equilibrium and Newton’s First Law in Rotational FormReading · Rotation and rolling
Check force and torque balance separately for rotational equilibrium.
- Newton’s Second Law in Rotational FormReading · Rotation and rolling
Connect net torque and rotational inertia to angular acceleration.
- RollingReading · Rotation and rolling
Use contact-point motion to distinguish rolling without slipping from sliding.
- Simple Harmonic Motion: The Force That Brings You BackReading · Oscillations
Identify equilibrium and test the restoring-force condition for simple harmonic motion.
- Period and Frequency: What Sets the Pace?Reading · Oscillations
Compare periods and frequencies and plan measurements for spring and small-angle pendulum models.
- Reading SHM: Position, Velocity, and AccelerationReading · Oscillations
Connect position, velocity, and acceleration graphs with slopes, signs, and turning points.
- Oscillator Energy: Where Did the Speed Go?Reading · Oscillations
Track oscillator kinetic and potential energy, including the vertical spring-gravity system.
- Experiment, Explain, and Show Your WorkReading · Oscillations
Use the reusable reasoning toolkit to design a pendulum investigation and connect data, representations, and justified conclusions.
- Fluids and Density: What Is Inside MattersReading · Fluids
Describe fluid particle models and infer density from a meaningful mass-volume graph.
- Pressure: More Than a Downward PushReading · Fluids
Distinguish pressure from force and keep gauge and absolute pressure references clear.
- Buoyancy and Newton’s Laws: Floating Is a Force BalanceReading · Fluids
Build force balances for buoyancy, floating, and the initial acceleration of submerged objects.
- Fluid Conservation: Follow the Water and the EnergyReading · Fluids
Connect volume flow, continuity, Bernoulli, and a measurable horizontal-jet model.
- Sketch a falling ball with dragCheck understanding · Motion and vectors
Create consistent velocity and acceleration graphs and explain why constant acceleration fails.
This is qualitative variable-acceleration reasoning; numerical variable-acceleration calculations are outside this task.
Separate worked reasoning and criteria → - Choose a graph for projectile rangeCheck understanding · Motion and vectors
Derive the height dependence for a horizontal launch and identify a useful linearized graph.
Separate worked reasoning and criteria → - Build a force model on a rough inclineCheck understanding · Forces and interactions
Choose axes, draw real forces, and write both component equations without assuming constant speed.
Separate worked reasoning and criteria → - Test a spring-force graphCheck understanding · Forces and interactions
Infer stiffness with units and propose a measurement that could reveal departure from the linear model.
Separate worked reasoning and criteria → - Explain the near-surface gravity approximationCheck understanding · Circular motion and gravitation
Sketch the field against center distance and state the spatial limit of an approximately constant field.
Separate worked reasoning and criteria → - Derive and graph an orbit relationCheck understanding · Circular motion and gravitation
Eliminate speed to obtain the period-radius relation and identify the slope with units.
The derivation assumes a gravity-only circular orbit around one central body.
Separate worked reasoning and criteria → - Read work from a force graphCheck understanding · Energy, work, and power
Decompose the specified graph into areas and explain the total energy transfer.
Separate worked reasoning and criteria → - Explain an energy ledgerCheck understanding · Energy, work, and power
Account for kinetic, potential, and thermal changes and interpret the sign of external work.
Separate worked reasoning and criteria → - Test center-of-mass motion across a collisionCheck understanding · Momentum and collisions
Construct a mass-weighted position representation from synchronized cart data and explain why an unweighted average misleads.
Separate worked reasoning and criteria → - Judge collision evidence with uncertaintyCheck understanding · Momentum and collisions
Compare before-and-after kinetic-energy intervals and propose a useful measurement improvement.
Agreement within the stated intervals supports consistency with an elastic model; it does not prove exact elasticity.
Separate worked reasoning and criteria → - Judge an angular-momentum conservation claimCheck understanding · Rotation and rolling
Compare possible angular-momentum intervals and propose a coast-down control for bearing drag.
Separate worked reasoning and criteria → - Diagnose rolling and slippingCheck understanding · Rotation and rolling
Identify contact slip, predict friction’s translational and rotational effects, and state the extra information needed to compare total energies.
Separate worked reasoning and criteria → - Turn measured oscillator positions into graphsCheck understanding · Oscillations
Plot numerical data, estimate amplitude and period, relate velocity and acceleration, and compare the model with measurement uncertainty.
A short record can support consistency with SHM without proving unique or future behavior.
Separate worked reasoning and criteria → - Design a pendulum investigationCheck understanding · Oscillations
Specify measurements, controls, repeats, and a linearized graph; estimate g from supplied data and discuss a systematic error.
The task asks for an investigation plan and supplied-data analysis; completing it does not verify hands-on laboratory participation.
Separate worked reasoning and criteria → - Explain buoyancy and accelerationCheck understanding · Fluids
Compare equal-volume submerged blocks, derive accelerations, and connect initial motion with their later floating fractions.
The initial model neglects drag and boundary contact; the later floating states are at rest.
Separate worked reasoning and criteria → - Compare a fluid-jet graph with its ideal modelCheck understanding · Fluids
Find the expected range-squared slope and distinguish fractional changes in range from changes in range squared.
A mismatch needs uncertainty and possible-loss evidence before a specific cause is assigned.
Separate worked reasoning and criteria →