AP Physics C: Mechanics is the calculus-based mechanics course — the most mathematically rigorous way to study motion, forces, energy, and rotation in the AP program. It covers much of the same ground as the algebra-based Physics 1, but with derivatives and integrals throughout, so it’s aimed at calculus-ready, STEM-bound students. A recent redesign made it a full-length exam in its own session, pairing 40 multiple-choice questions with 4 free-response questions. This guide breaks the whole exam down: the two sections, the seven units, the calculus, scoring, and how it differs from Physics 1.
The essentials: the AP Physics C: Mechanics exam has two equally-weighted sections and runs about 3 hours. Section I = 40 multiple-choice in 80 minutes (50%) — single-select, four answer choices, done digitally in Bluebook. Section II = 4 free-response in 100 minutes (50%), handwritten, 40 points total, each testing a different science-practice skill. The defining feature: it’s calculus-based — using derivatives and integrals throughout — so you should be taking or have taken calculus. It covers seven units of mechanics (kinematics through gravitation), equivalent to a one-semester calculus-based college mechanics course. A calculator and equation sheet are permitted on both sections; MCQ has no wrong-answer penalty; FRQ gives partial credit. It’s hybrid digital, scored 1–5, and — after a recent redesign — is now a full-length exam in its own session. Here’s the full breakdown.
Once you know the sections and weights, run your practice numbers through the AP score calculator. Deciding between this and the algebra-based course? Compare with the AP Physics 1 exam guide, and see how long the exam is.
What this guide covers
The AP Physics C: Mechanics exam at a glance
Start with the overall shape, because after the recent redesign this exam has the same structure as the other AP Physics exams — but with calculus at its core. Two equal sections, about three hours.
The AP Physics C: Mechanics exam is built around two sections of equal weight: Section I is 40 multiple-choice questions (50%) and Section II is 4 free-response questions (the other 50%), for a total testing time of about 3 hours. Several defining characteristics: it’s a calculus-based course — using calculus (derivatives and integrals) throughout — and it’s the calculus-based counterpart to the algebra-based Physics 1, covering mechanics at greater mathematical depth. It’s a hybrid digital exam: you answer multiple-choice questions on a computer in the Bluebook app, but handwrite your free-response answers in a paper booklet. The content covers mechanics — motion, forces, energy, momentum, rotation, oscillations, and gravitation — organized into seven units, and it’s equivalent to a one-semester calculus-based college mechanics course for physics and engineering majors. A calculator is permitted on both sections and an equation sheet is provided, so success hinges on understanding, calculus fluency, and problem-solving rather than recall. One important structural note: after the recent redesign, AP Physics C: Mechanics is now a full-length exam administered in its own dedicated testing session — previously it was a shorter exam that shared a session with Electricity and Magnetism. The most important framing up front: this is the calculus-based mechanics exam, structurally like the other AP Physics exams but distinguished by its use of calculus and its focus on rigorous, college-level mechanics. The sections below break down each part — starting with the calculus that defines it.
The core point: AP Physics C: Mechanics = 40 multiple-choice (80 min, 50%) + 4 free-response (100 min, 50%), about 3 hours, and crucially calculus-based (derivatives and integrals throughout). It covers seven units of mechanics, equivalent to a one-semester calculus-based college course. Calculator and equation sheet provided; now a full-length exam in its own session after a recent redesign.
The calculus requirement (what defines this exam)
The single most important thing to understand about AP Physics C: Mechanics is that it’s built on calculus — this is what sets it apart. Derivatives and integrals throughout.
What fundamentally defines AP Physics C: Mechanics — and separates it from every algebra-based physics course — is that it’s calculus-based. Calculus isn’t an occasional add-on; it’s woven throughout the course and exam. Concretely, you’ll use derivatives to find instantaneous velocity and acceleration from a position function, integrals to find the work done by a variable force (or to find position from velocity), and differential-equation setups in oscillation and rotation problems. This calculus treatment appears in both the multiple-choice and free-response sections. Because of this, the course has a clear prerequisite: students should have completed or be concurrently enrolled in a calculus course — typically AP Calculus AB or BC — while taking AP Physics C: Mechanics. You genuinely cannot do well without the calculus, since it’s required to solve many of the problems. This is the crux of the course’s rigor and its difficulty: it’s not that the physics concepts are wildly different from algebra-based mechanics (they overlap heavily), but that the mathematical treatment is deeper, using calculus to derive and solve rather than relying on pre-derived algebraic formulas. The practical implication: strong calculus skills (derivatives, integrals, and their applications) are as important to your preparation as the physics itself. If you’re comfortable with calculus and enjoy applying it, this rigor is a strength; if your calculus is shaky, that’s the first thing to shore up. This calculus foundation is exactly why AP Physics C is aimed at STEM-bound students and considered among the more demanding AP options — explored in the difficulty guide. For how it compares to the algebra-based path, see the next section and the AP Physics 1 exam guide.
How AP Physics C: Mechanics differs from Physics 1
Since both cover mechanics, students often wonder how they differ — and the answer is mostly the math. Same topics, calculus vs. algebra.
AP Physics C: Mechanics and AP Physics 1 cover much of the same mechanics content — kinematics, forces, energy, momentum, rotation, oscillations — but they differ in two key ways. First and most important: AP Physics C: Mechanics is calculus-based (derivatives and integrals), while AP Physics 1 is algebra-based (algebra and trigonometry only). This makes Physics C more mathematically demanding and rigorous — the same physical concepts are treated with greater mathematical depth. Second, the content isn’t identical: AP Physics 1 covers fluids, which AP Physics C: Mechanics does not, and Physics 1 spends more time building conceptual foundations, while Physics C moves faster and deeper mathematically. There’s also a difference in audience and purpose: AP Physics C: Mechanics is aimed at students planning to major in physics, engineering, or the physical sciences, and it requires concurrent calculus, whereas AP Physics 1 is a broader introductory course taken by a wider range of students (including those not necessarily heading into physics). Encouragingly, since the recent redesign, both exams now have the same length and format (40 multiple-choice, 4 free-response, about 3 hours, hybrid digital). So the practical way to choose between them: take AP Physics C: Mechanics if you have calculus (or are taking it) and are STEM-bound and want mathematical rigor; take AP Physics 1 for a broader, algebra-based introduction. Some students take Physics 1 first and Physics C later; others go straight to Physics C if they’re calculus-ready. For the full Physics 1 picture, see the AP Physics 1 exam guide, and for a direct comparison of the algebra-based courses, AP Physics 1 vs 2.
The multiple-choice section
Half your score rides on the multiple-choice section, which tests calculus-based reasoning across the full breadth of mechanics. 40 questions, 80 minutes.
Section I is 40 multiple-choice questions in 80 minutes, worth 50% — about 2 minutes per question. Each question is single-select (one correct answer) with four answer choices (reduced from five in the redesign). Questions come as discrete questions or in sets sharing a stimulus (a scenario, graph, diagram, or data table). Critically, this is a calculus-based section: many questions require calculus reasoning — taking derivatives, evaluating integrals, or setting up relationships — and are often multi-step, which makes them harder than algebra-based physics multiple-choice questions. Two practical points. First, a calculator is permitted on the multiple-choice section (which isn’t the case for some other AP exams), and an equation sheet is provided, so get familiar with both. Second, there’s no penalty for wrong answers: your score is the number correct, so answer every question, using elimination and educated guessing when unsure. Because many questions are multi-step and calculus-heavy, pacing matters — a good strategy is to not go strictly in order: solve the questions you can do quickly first, flag harder ones (often the rotation questions that need multi-step calculus setups), and return to them. The section rewards fluency with both the physics and the calculus. For how to drill it, see the AP Physics C: Mechanics practice guide.
The free-response section
The other half of your score comes from four handwritten questions, each targeting a specific science-practice skill and requiring full calculus-based solutions. Show reasoning, show calculus.
Section II is 4 free-response questions in 100 minutes — about 25 minutes each — worth the other 50%, and totaling 40 points (each point equals one point, matching the 40 multiple-choice questions for an 80-point composite). You view the prompts on screen but handwrite your answers in a paper booklet scored by trained AP Readers. Like the other AP Physics exams, the four questions each test a different science-practice skill: Mathematical Routines (deriving and applying relationships and doing calculations, often with calculus), Translation Between Representations (moving among words, equations, graphs, and diagrams), Experimental Design and Analysis (designing a procedure, identifying variables, and analyzing data, often with graphing), and Qualitative/Quantitative Translation (connecting conceptual reasoning with math and justifying claims). Each question is multi-part and scored with partial credit for correct steps, reasoning, and work — so showing your full process is essential, and you should attempt every sub-part. Because it’s calculus-based, expect to show calculus work — setting up and evaluating derivatives and integrals, and deriving expressions. Several habits pay off: a calculator, ruler/straightedge, and the equation sheet are allowed — use them; label parts clearly; graph carefully (labeled axes and units); justify claims with reasoning beyond just equations; and include units on numerical answers, since missing units is a common way to lose points. For practice strategy, see the practice guide.
The seven units
Knowing the units — all treated with calculus — helps you see the shape of the course. Seven units, mechanics in depth.
The AP Physics C: Mechanics course has seven units, all treated using calculus: Unit 1 Kinematics, Unit 2 Force and Translational Dynamics, Unit 3 Work, Energy, and Power, Unit 4 Linear Momentum, Unit 5 Torque and Rotational Dynamics, Unit 6 Oscillations, and Unit 7 Gravitation. These cover the mechanics of motion, forces, energy, momentum, rotation, oscillations, and gravity — at a deeper, calculus-based level than the algebra-based Physics 1. On weighting and difficulty: force and translational dynamics is typically one of the most heavily weighted and challenging units (and often the biggest determinant of your score), and torque and rotational dynamics (rotation) is often calculus-intensive and demanding. The unit list below shows the seven and flags the calculus-heavy ones. One content note worth repeating: unlike AP Physics 1, AP Physics C: Mechanics does not include fluids. The practical implication: while all seven units are tested, give extra attention to the higher-weighted, calculus-intensive units — especially force and translational dynamics and rotation. Confirm the current weight ranges in the official Course and Exam Description. For where to find that, see the practice guide.
Scoring and logistics
Pulling the structure together into the score and the practical exam-day details completes the picture. Weighted 50/50, scored 1–5.
Scoring is on the 1 to 5 scale, with the two sections weighted equally at 50% each. The 40 multiple-choice questions are computer-scored — each correct answer earns a point, no penalty for wrong answers — while the 4 free-response questions are hand-scored by trained AP Readers using rubrics, worth 40 points total, with partial credit for correct steps, reasoning, and work (including calculus). The two combine into a composite score converted to a 1–5 using that year’s cut points, set through the College Board’s standard-setting process. On logistics: it’s a hybrid digital exam, so you’ll need a charged device with the Bluebook app (and a power cord), plus photo ID, pencils and pens (black or dark blue ink) for the paper booklet, an approved calculator, and a ruler/straightedge can be useful. The equation/reference sheet is provided in the app. Remember it’s in its own dedicated testing session (separate from E&M). Two strategy takeaways follow from the scoring: because there’s no wrong-answer penalty, always answer every multiple-choice question; and because free response awards partial credit, attempt every part, show all your work (including calculus), and include units. To turn your own section performance into a predicted score, use the AP score calculator; for the full mechanics of AP scoring, see how AP exams are scored, and for what to bring, AP exam day essentials.
| Section | Questions | Time | Weight | Format |
|---|---|---|---|---|
| Section I — Multiple choice | 40 | 80 min | 50% | Digital (Bluebook) |
| Section II — Free response | 4 (40 pts) | 100 min | 50% | Handwritten (paper) |
| Total | 44 | ~3 hours | 100% | Hybrid |
Calculus-based; calculator and equation sheet provided both sections; no penalty for wrong MCQ answers; FRQ scored with partial credit. In its own testing session. Reflects the current redesigned exam — the MCQ count and timing change for May 2027. Confirm with the College Board.
The redesign and what’s changing next
AP Physics C: Mechanics changed significantly and is set to change again, so it’s important to know which format applies to you. A major restructuring, plus more coming.
AP Physics C: Mechanics has been significantly restructured, and there’s another change on the way. The redesign, introduced starting with the 2024–25 school year, made this exam a full-length exam in its own dedicated testing session — a big change from the previous shorter format, in which Mechanics was one of the shortest AP exams and shared a testing day with Electricity and Magnetism. Specifically: the multiple-choice section went from 35 questions in 45 minutes to 40 questions in 80 minutes, the answer choices went from five to four, and the free-response section went from 3 questions in 45 minutes to 4 questions in 100 minutes, with new standardized question types (the same four science-practice types across all AP Physics exams). The exam is now the same length as AP Physics 1 and 2. Importantly, the content itself did not change substantially — this was primarily a structural update reflecting that Mechanics is a full college-semester course in its own right. On top of this, the College Board has announced that the number of multiple-choice questions and the timing for each section will be updated again starting with the May 2027 exam. What this means for you: the format described throughout this guide reflects the current redesigned exam — but if you’re testing in May 2027 or later, confirm the updated question count and timing on the College Board’s official page. It also means older prep materials may show the old shorter format (35 MCQ/45 min, 3 FRQ/45 min, five answer choices) — and importantly, old released free-response exams no longer match the current structure — so make sure any practice resources are updated for the current exam. As always, the most reliable source is the College Board’s official AP Physics C: Mechanics page and Course and Exam Description. For confirming timing specifically, see how long the AP Physics C: Mechanics exam is.
Note on changes: AP Physics C: Mechanics was recently restructured into a full-length exam in its own session (40 MCQ/80 min + 4 FRQ/100 min, four answer choices), up from the old shorter shared-session format. The College Board has also announced that the number of multiple-choice questions and the timing will be updated again starting with the May 2027 exam. The format here reflects the current exam. If testing in May 2027 or later, confirm the updated MCQ count and timing on the College Board’s official page, and make sure any older prep materials (especially released FRQs) match the current format.
AP Physics C: Mechanics exam: frequently asked questions
What is on the AP Physics C: Mechanics exam?
Two equally weighted sections, about 3 hours total. Section I is 40 multiple-choice questions in 80 minutes, worth 50%, single-select with four answer choices, done digitally in Bluebook. Section II is 4 free-response questions in 100 minutes, also 50%, handwritten. AP Physics C: Mechanics is a calculus-based course, using calculus (derivatives and integrals) throughout, and it covers seven units: kinematics; force and translational dynamics; work, energy, and power; linear momentum; torque and rotational dynamics; oscillations; and gravitation. It’s equivalent to a one-semester calculus-based college mechanics course for physics and engineering majors. A calculator and equation sheet are permitted on both sections. The four free-response questions each test a different science-practice skill. It’s scored 1 to 5. Note that AP Physics C: Mechanics is now a full-length exam in its own testing session, following a recent redesign that lengthened it from the previous shorter format.
Is AP Physics C: Mechanics calculus-based?
Yes, and it’s the defining feature that distinguishes it from AP Physics 1. The course uses calculus (derivatives and integrals) throughout: for example, using derivatives to find instantaneous velocity and acceleration from a position function, using integrals to find the work done by a variable force, and setting up differential equations in oscillation and rotation problems. Because of this, students should have completed or be concurrently enrolled in a calculus course (such as AP Calculus AB or BC) while taking AP Physics C: Mechanics. This is a key difference from AP Physics 1, which covers similar mechanics topics (kinematics, forces, energy, momentum, rotation, oscillations) but uses only algebra and trigonometry, no calculus. So while the physics topics overlap significantly, AP Physics C: Mechanics treats them with greater mathematical depth using calculus, making it more mathematically demanding but also more rigorous.
What is the difference between AP Physics C: Mechanics and AP Physics 1?
They cover much of the same mechanics content (kinematics, forces, energy, momentum, rotation, oscillations), but differ in two key ways. First and most important, AP Physics C: Mechanics is calculus-based, using derivatives and integrals, while AP Physics 1 is algebra-based, using only algebra and trigonometry. This makes Physics C more mathematically demanding and rigorous. Second, the content isn’t identical: AP Physics 1 covers fluids, which AP Physics C: Mechanics does not, while Physics C treats the shared mechanics topics with greater mathematical depth. There’s also a difference in who takes them and why: AP Physics C: Mechanics is aimed at students planning to major in physics, engineering, or the physical sciences, and it requires concurrent calculus, while AP Physics 1 is a broader introductory course. Both are now the same length and format (40 multiple-choice, 4 free-response, about 3 hours, hybrid digital). The choice comes down to your math background and goals: Physics C if you have calculus and are STEM-bound, Physics 1 for a broader algebra-based introduction.
What units are on the AP Physics C: Mechanics exam?
Seven units: Unit 1 Kinematics; Unit 2 Force and Translational Dynamics; Unit 3 Work, Energy, and Power; Unit 4 Linear Momentum; Unit 5 Torque and Rotational Dynamics; Unit 6 Oscillations; and Unit 7 Gravitation. All are treated using calculus. Force and translational dynamics is typically one of the most heavily weighted and challenging units, and rotational dynamics (torque and rotation) is often calculus-intensive and demanding. These units cover the mechanics of motion, forces, energy, momentum, rotation, oscillations, and gravity, at a deeper, calculus-based level than the algebra-based AP Physics 1. Unlike AP Physics 1, AP Physics C: Mechanics does not include fluids. The official Course and Exam Description lists the exact weight ranges for each unit, which determine how many of the 40 multiple-choice questions cover each topic. All seven units are tested on the exam.
How is the AP Physics C: Mechanics exam scored?
On the 1 to 5 scale, with the multiple-choice and free-response sections weighted equally at 50% each. The 40 multiple-choice questions are computer-scored, with each correct answer earning a point and no penalty for wrong answers, so answer every question. The 4 free-response questions are hand-scored by trained AP Readers using rubrics, worth 40 points total, with partial credit for correct steps, reasoning, and work, so showing your full process, including calculus, matters. The two sections combine into a composite converted to a 1 to 5 using that year’s cut points, set through the College Board’s standard-setting process. Because there’s no wrong-answer penalty, guessing on multiple choice is always worthwhile, and because free response gives partial credit, attempt every part of every question. Clearly showing your work, including your calculus setup and reasoning, and including units on numerical answers helps you earn the maximum partial credit.
Did the AP Physics C: Mechanics exam change?
Yes, it was significantly restructured, and another change is coming. In the recent redesign (starting with the 2024-25 school year), the exam became a full-length exam in its own dedicated testing session, rather than the previous shorter format that shared a session with Electricity and Magnetism. Specifically, the multiple-choice section went from 35 questions in 45 minutes to 40 questions in 80 minutes, the answer choices went from five to four, and the free-response section went from 3 questions in 45 minutes to 4 questions in 100 minutes, with new standardized question types. The exam is now the same length as AP Physics 1 and 2. The content itself did not change substantially. On top of this, the College Board has announced that the number of multiple-choice questions and the timing for each section will be updated again starting with the May 2027 exam. So confirm which format applies to your exam year, and make sure any older prep materials, especially released free-response questions, reflect the current structure rather than the old shorter one.
The quick version
The AP Physics C: Mechanics exam has two equally-weighted sections and runs about 3 hours. Section I is 40 multiple-choice questions in 80 minutes (50%), single-select with four answer choices, done digitally in Bluebook. Section II is 4 free-response questions in 100 minutes (50%), handwritten, worth 40 points, each testing a different science-practice skill. The defining feature is that it’s calculus-based, using derivatives and integrals throughout, so you should be taking or have taken calculus (like AP Calculus AB or BC). It covers seven units of mechanics — kinematics, force and translational dynamics, work/energy/power, momentum, rotation, oscillations, and gravitation — equivalent to a one-semester calculus-based college mechanics course, and unlike Physics 1 it does not cover fluids. A calculator and equation sheet are provided on both sections; there’s no penalty for wrong multiple-choice answers, and free response gives partial credit. It’s a hybrid digital exam, scored 1 to 5, and after a recent redesign is now a full-length exam in its own testing session (up from the old shorter shared-session format).
Ready to see where you stand? Estimate your score with the free AP score calculator, drill with AP Physics C: Mechanics practice resources, check how long the exam is, and see whether it’s hard. Compare with AP Physics 1, browse the hardest AP exams, or all education calculators.
Accuracy note: AP Physics C: Mechanics exam format, section timing, scoring, unit content and weightings, and calculator policy are set by the College Board and can change (the exam was recently restructured, and the multiple-choice count and timing update again for May 2027). The information here reflects the current exam for general informational purposes only. Always confirm the exact current format, timing, scoring, unit weightings, and approved-calculator list on the College Board’s official AP Physics C: Mechanics page and Course and Exam Description before relying on any specific detail.
The College Board’s AP Physics C: Mechanics exam page details the current format, sections, timing, calculator policy, and reference materials. AP Physics C: Mechanics exam →
The College Board’s AP Students page covers the course, the exam, and the seven units. AP Physics C: Mechanics for students →
