AP Physics C: Mechanics Exam Guide and Review 2027
AP Physics C: Mechanics Exam Guide and Review 2027
This 50-page review treats mechanics as one connected modeling course: choose a system and direction, translate the situation into forces, energy, momentum, rotation, or oscillation, carry the calculus with units, and finish with a physical interpretation. The worked pages make differentiation, integration, graphs, experimental reasoning, and response writing visible instead of reducing them to formula matching.
- 50-page review
- 7 course units
- 3-hour exam
- 42 MCQ · 4 FRQ
- Calculator in both sections
- Declare the model first. Name the system, axis, interaction, initial condition, and any approximation before substituting values.
- Use calculus as physics. State what the derivative or integral represents, choose physical bounds, and check units and limiting behavior.
- Make reasoning scoreable. Connect the governing relationship to evidence, show the requested representation, and answer in context.
Study the units in their official order
The percentages below are ranges for the multiple-choice section, not shares of the whole exam and not promises of a fixed question count. Use them to distribute practice while still revisiting every unit and mixing translational, rotational, and oscillatory models. The ranges reflect the current course and exam description as of 2026-08-29.
Three hours, two equally weighted sections
The current format gives equal score weight to multiple choice and free response. A four-function, scientific, or graphing calculator may be used in both sections. Treat the 85-minute and 95-minute limits as separate pacing jobs: rapid model selection first, then longer written reasoning with setup, calculation, representation, and explanation.
| Section | Questions | Time | Score weight | Calculator |
|---|---|---|---|---|
| Multiple choice | 42 questions | 85 minutes | 50% | Allowed |
| Free response | 4 questions | 95 minutes | 50% | Allowed |
| Complete exam | 46 questions | 3 hours | 100% | Allowed throughout |
Check the official AP Physics C: Mechanics exam page and the current course and exam description for later changes. These numbers are stated as of 2026-08-29.
Integrate a nonlinear restoring force before solving for compression
The launcher and values below are illustrative and independently chosen.
- Step 1Choose the puck and bumper interaction as the model. At maximum compression the puck is momentarily at rest, so the initial kinetic energy becomes energy stored through the varying resisting force.
- Step 2Write the definition before calculating: stored energy equals the position integral of force from 0 m to the unknown compression X. The physical interval supplies both bounds.
- Step 3Work — Initial kinetic energy is ½(0.500 kg)(4.00 m/s)² = 4.00 J. The stored energy is the position integral from 0 m to X: integrating (180 N/m²)x² gives (60.0 N/m²)X³. Thus (60.0 N/m²)X³ = 4.00 N m, so X³ = 0.0667 m³.
- Step 4Check dimensions and limiting behavior. The equation gives X cubed in cubic meters, so the cube root must be a length; a larger initial speed would require a larger compression.
| Rubric point | Model element | Common error | Credit |
|---|---|---|---|
| Definition | Starts with the position integral of the varying force. | Uses ½kX² for a force that is not linear. | Earned |
| Bounds | Uses 0 m and the unknown compression X. | Writes an indefinite integral with no physical interval. | Earned |
| Energy | Equates 4.00 J to the evaluated work. | Equates force directly to energy. | Earned |
| Result | Takes the cube root and reports 0.405 m. | Reports X³ as the final compression. | Earned |
Nonlinear means integrate. Force at the endpoint multiplied by displacement overstates this curved area.
Fifteen terms to use precisely
These definitions come from the review appendix. Attach each word to a chosen system, axis, graph, interval, or model so that the term performs a physical job instead of acting as a label.
- position
- Location measured from a stated origin along a chosen axis.
- velocity
- Time rate of change of position, including direction.
- acceleration
- Time rate of change of velocity.
- force diagram
- Drawing or inventory of real external forces on one chosen object.
- terminal speed
- Steady speed at which the signed net force is zero.
- system boundary
- Division between included objects and energy crossing the system.
- work
- Energy transfer found from force along displacement.
- impulse
- Time integral of external force.
- torque
- Rotational effect of a force about a selected origin.
- rotational inertia
- Mass-distribution measure governing resistance to angular acceleration.
- angular momentum
- Product of rotational inertia and angular speed for a rigid-axis model.
- angular displacement
- Accumulated angular speed over a time interval.
- simple harmonic motion
- Oscillation with restoring acceleration proportional to opposite displacement.
- period
- Time required for one complete oscillation.
- damping
- Energy loss that reduces successive oscillation amplitudes.
What to expect and how to use this review
What is the current AP Physics C: Mechanics exam format?
The exam lasts 3 hours. Multiple choice has 42 questions in 85 minutes for 50% of the score, and free response has 4 questions in 95 minutes for 50%. A calculator may be used in both sections.
Are the numerical examples copied from exam questions?
No. The settings, numbers, data, and figures were independently written for instruction and are labeled illustrative.
Does the exam provide equations and reference information?
Yes. An equation sheet and reference information are provided, but students must still choose systems, signs, bounds, mass elements, and derivation paths.
How should the multiple-choice structure pages be used?
Use them to practice model selection, representation matching, dimensions, signs, and scale. They do not claim item-level response frequencies.
What must I know even though the exam provides an equation sheet?
The exam provides an equation sheet, but it does not print the integration and differentiation paths from each definition as step-by-step methods. Choosing the definition, bounds, mass element, sign convention, and path is often where college-level responses separate themselves.
Are official multiple-choice questions included in the publicly available materials?
No. The publicly available materials do not include officially released multiple-choice questions for this exam. The multiple-choice practice in this review was independently written for instruction and is not copied from an operational exam.
Use four passes to turn a chapter into exam-ready reasoning
Pass 1 — model without notes. Read the prompt, box the physical system, choose a positive direction, list interactions or energy transfers, and predict the sign or trend before touching arithmetic. If you cannot name the governing definition, return to the unit map rather than searching for a visually familiar formula.
Pass 2 — connect representations. For every solved problem, redraw one part as a force diagram, graph, energy ledger, momentum statement, or experimental plot. Explain what a slope, signed area, intercept, or curvature means in physical units. This catches errors that algebra alone can hide.
Pass 3 — rebuild the calculus path. Close the equation sheet and write the starting definition, derivative or integral, physical bounds, and initial condition from memory. Then reopen the sheet to check notation. The exam provides an equation sheet, but the integration and differentiation route from a definition is not printed as a step-by-step method; that route is often where college-level work separates stronger responses.
Pass 4 — practice under both clocks. Alternate short mixed multiple-choice sets with complete free-response solutions. Use the published unit ranges to prevent under-practicing Force and Translational Dynamics or Work, Energy, and Power, but keep every session mixed because a single question can combine force, energy, momentum, and rotation.
AskSia is not affiliated with or endorsed by College Board®. AP is a registered trademark of College Board®. Exam facts and unit percentages are based on official College Board information as of 2026-08-29. The explanations, numerical settings, and practice questions in this review were independently written for instruction.
