Multiple choice
42 questions · 1 hour 25 minutes · 50%
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AP Physics C: Mechanics exam prep
Use calculus to model motion, forces, energy, momentum, rotation, gravitation, and oscillations with precise derivations.
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AP Physics C: Mechanics exam format
Hybrid digital. Formats can change, so verify the linked official page before exam day.
Official College Board exam page ↗Free response
4 questions · 1 hour 35 minutes · 50%
AP Physics C: Mechanics unit roadmap
Each unit is a connected part of the course, not an isolated chapter. The focus says what you must know and the weighting says how much exam time it is worth. Use the weighting to order your review, never as permission to skip a prerequisite.
Kinematics
Vector motion and calculus
- Define the vocabulary you need to explain vector motion and calculus.
- Draw and label the graph, model, diagram, or evidence that best represents kinematics.
- Solve one direct kinematics question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Differential equations from Newton's laws
Force and Translational Dynamics
Newton's laws and differential models
- Define the vocabulary you need to explain newton's laws and differential models.
- Draw and label the graph, model, diagram, or evidence that best represents force and translational dynamics.
- Solve one direct force and translational dynamics question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Moment of inertia
Work, Energy, and Power
Line integrals and energy
- Define the vocabulary you need to explain line integrals and energy.
- Draw and label the graph, model, diagram, or evidence that best represents work, energy, and power.
- Solve one direct work, energy, and power question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Energy and momentum system boundaries
Linear Momentum
Systems, impulse, collisions
- Define the vocabulary you need to explain systems, impulse, collisions.
- Draw and label the graph, model, diagram, or evidence that best represents linear momentum.
- Solve one direct linear momentum question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Graph slopes and areas
Torque and Rotational Dynamics
Rigid-body rotation
- Define the vocabulary you need to explain rigid-body rotation.
- Draw and label the graph, model, diagram, or evidence that best represents torque and rotational dynamics.
- Solve one direct torque and rotational dynamics question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Symbolic answers before numbers
Energy and Momentum of Rotating Systems
Angular conservation
- Define the vocabulary you need to explain angular conservation.
- Draw and label the graph, model, diagram, or evidence that best represents energy and momentum of rotating systems.
- Solve one direct energy and momentum of rotating systems question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Differential equations from Newton's laws
Oscillations
Differential equations and SHM
- Define the vocabulary you need to explain differential equations and shm.
- Draw and label the graph, model, diagram, or evidence that best represents oscillations.
- Solve one direct oscillations question, then change one assumption and predict how the answer moves.
- Tie this unit to the course priority: Moment of inertia
Use a diagnostic to find the first knowledge gap
This short check is not a score prediction. It identifies which part of the course deserves your next focused session.
- Answer without notes.
- Explain your choice before revealing feedback.
- Record every uncertain answer, including lucky guesses.
Question 1 of 3
Scored skills for the AP Physics C: Mechanics exam
Knowing an idea internally is not enough. Practice producing observable evidence under time pressure.
Derive with calculus
Build free-body and system models
Design and analyze experiments
Connect graphs to derivatives and integrals
Highest-value review targets
- Differential equations from Newton's laws
- Moment of inertia
- Energy and momentum system boundaries
- Graph slopes and areas
- Symbolic answers before numbers
AP Physics C: Mechanics formulas and reference relationships
A useful sheet records meaning and conditions, not isolated symbols. Rebuild it from a blank page until every line comes back with its conditions attached.
Vector kinematics
\[\vec v=\frac{d\vec r}{dt},\qquad \vec a=\frac{d\vec v}{dt}\]
What it tells you: Defines velocity and acceleration as time derivatives of vector position.
Use it when: Differentiate components and preserve coordinate directions and units.
Example: The area under an acceleration-time graph gives velocity change.
Work by a variable force
\[W=\int_C\vec F\cdot d\vec \]
What it tells you: Accumulates the force component along a path.
Use it when: Specify the path and system; only conservative work can be represented by a path-independent potential.
Example: In one dimension, work is signed area under the $F_x$ versus $x$ graph.
Angular dynamics
\[\sum\tau=I\alpha\]
What it tells you: Connects net external torque with angular acceleration.
Use it when: Torque and moment of inertia must be computed about the same axis.
Example: For fixed torque, doubling $I$ halves $\alpha$.
Simple harmonic period
\[T_{\mathrm{spring}}=2\pi\sqrt{\frac mk},\qquad T_{\mathrm{pendulum}}\approx2\pi\sqrt{\frac Lg}\]
What it tells you: Gives periods for ideal spring motion and small-angle pendulum motion.
Use it when: The pendulum approximation requires small angular displacement; ideal formulas neglect damping.
Example: Increasing spring mass increases period by the square root of the mass factor.
What the AP Physics C: Mechanics exam hands you, and what you have to recall
| Section or part | What you may use | What that means for your work |
|---|---|---|
| Multiple choice | Four-function, scientific, or graphing calculator | Allowed throughout, though most items are symbolic or proportional. |
| Free response | Four-function, scientific, or graphing calculator | The hard parts are calculus, not arithmetic. Expect to integrate and differentiate by hand. |
| Provided for the whole exam | Equations and constants table | Both sections. Note that the table gives you relationships, not the calculus you must do with them. |
Anything the table does not hand you, you have to remember. The AP Physics C: Mechanics study plan puts these rules on a week-by-week schedule.
Your AP Physics C: Mechanics preparation plan
Repeat this loop weekly: retrieve, diagnose, repair, mix, time, and reflect.
01
AP-style practice
Original questions, immediate explanations, and local progress.
Start →02Full course test
A timed mixed-unit test with a complete answer review.
Test →03Study plan and strategy
Eight weeks, plus the timing, calculator, and task-verb decisions.
Plan →04Unit roadmap
Every unit, its weighting, and what mastery looks like.
Review →05Formula review
Key relationships, their conditions, and what the exam provides.
Recall →Questions about the AP Physics C: Mechanics exam
Can I use a graphing calculator on the AP Physics C: Mechanics exam?
Rules change from section to section. Multiple choice: four-function, scientific, or graphing calculator. Free response: four-function, scientific, or graphing calculator. Provided for the whole exam: equations and constants table. Practise each section under its own rule.
How long is the AP Physics C: Mechanics exam?
Multiple choice: 1 hour 25 minutes, 42 questions. Free response: 1 hour 35 minutes, 4 questions. Multiple choice — About 2 minutes each. Many are one derivative or one integral away from the answer - spot which. Free response — About 24 minutes each. These are long derivation chains where later parts depend on earlier symbols.
How many units does AP Physics C: Mechanics cover?
Seven: Kinematics, Force and Translational Dynamics, Work, Energy, and Power, Linear Momentum, Torque and Rotational Dynamics, Energy and Momentum of Rotating Systems, Oscillations. The roadmap on this page publishes no percentage weighting for them, so order your review by course priority instead, starting with Differential equations from Newton's laws.
Is a formula sheet given on the AP Physics C: Mechanics exam?
Yes. The AP Physics C: Mechanics exam gives you the equations and constants table. Both sections. Note that the table gives you relationships, not the calculus you must do with them.
Use AI responsibly during AP exam preparation
Attempt first. Ask for a hint or critique. Close the explanation and solve again from memory. Never use outside help on a live or prohibited assessment.
Turn the guide into exam-day skill
Start a focused AP Physics C: Mechanics practice set, check each explanation, and use every miss to choose your next review session.
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