AP Physics C Mechanics FRQ: how to answer the free response.

The four AP Physics C Mechanics free response questions

Section II is four multi-part free-response questions in 95 minutes, worth 50% of your score. They always appear in the same order, and each one is a different question type carrying a different number of points. College Board publishes both the point value and a suggested time for every question, so you can plan the section before you sit it.

Two things fall out of that table. The midpoints of the suggested times add up to exactly 95 minutes, so the section is planned to the minute with nothing spare. And Question 4 is the outlier: it carries the fewest points, gets the least time, comes last, and in 2025 it was scored at 2.30 out of 8 while no other question fell below 53%.

Because the course is calculus-based, expect calculus on every question. You may need to derive velocity from a position function, integrate to find work or the center of mass, or set up and solve a differential equation. Three of the four questions also ask you to create something visual, a diagram, a graph or a sketch; the fourth, QQT, does not.

Question 1: Mathematical Routines (10 points)

MR asks you to use mathematics to analyze a scenario and predict what happens next. Expect to derive a relationship symbolically and then calculate a number from it, and expect to build a representation along the way, such as a free-body diagram to guide the algebra or a sketch of velocity against time. In 2025 this was where the calculus itself failed: roughly a fifth of responses did not reach for an integral even though the force was given as a function of time, and about 85% did not evaluate the definite integral correctly.

Question 2: Translation Between Representations (12 points)

TBR is the largest question on the paper and the one students score best on. It asks you to move a single scenario between forms: build a visual representation of it, derive equations that fit it, draw a graph relating its quantities, and then either justify why two of your own answers agree or predict what would change if the situation changed. In 2025 most responses began the derivation from a relevant equation; fewer carried every part of the system through it to the end.

Question 3: Experimental Design and Analysis (10 points)

LAB has two halves. First you design a procedure: vary one parameter, measure how a single characteristic responds, and use equipment a school laboratory would actually have. Then you are given data from a related experiment and asked to plot it, draw a best-fit line, and pull a physical quantity out of the slope or the intercept. About 80% of 2025 responses designed a workable experiment. The points went on the second half: on linearizing, where a common error was plotting velocity when velocity squared was needed, and on connecting the slope back to the unknown.

Question 4: Qualitative/Quantitative Translation (8 points)

QQT asks you to make a claim about a scenario, justify it with physics, and derive an equation that supports it. It is worth the least and it is where the field falls apart, at a 2025 mean of 2.30 out of 8. The readers’ account is consistent: most responses compared the quantities correctly and then did not use the comparison to justify the claim, many did not begin the derivation from an equation on the reference information, and fewer than 15% wrote a Newton’s second law expression with both terms and the correct signs.

How the AP Physics C Mechanics FRQ is scored

Each question is scored point by point against a rubric, and the points are spread across the work, not just the final answer: the calculus setup, the equation you select, the substitution, the algebra, the units, the physics justification, and any labeled diagram can each earn credit. That means a wrong final number can still score well if the reasoning is sound — and a right number with no work often scores poorly.

Answer every part, even briefly. Every scoring line on a released guideline is worth a single point, so a part you leave blank is a point you cannot get back, and the points are distributed across parts rather than concentrated in one.

College Board also publishes what the free-response section is measuring, and the split is not what most students assume. Mathematical reasoning, which means deriving, calculating, comparing and predicting, carries 40% to 45% of the free-response score. Argumentation, which means applying a law to make a claim and then justifying it with evidence, carries 30% to 35%. Creating representations carries 20% to 35%. Those figures are per science practice, not per individual skill.

Two of those skills cannot be tested anywhere else. Creating representations, meaning diagrams, quantitative graphs with real scales and units, and qualitative sketches, is marked not applicable on the multiple-choice section, and so is designing an experimental procedure. Drawing, graphing and experimental design are free-response points or they are no points at all, which is the argument for practicing the free response on its own rather than treating it as harder multiple-choice.

Justify every step

Communication matters in Physics C. Write in precise sentences, state the principle you are using before the equation, and explain why your approach works. A reliable habit: name the principle, write the equation, do the calculus or algebra, then state the result with units and a one-line justification.

College Board’s own task verbs tell you how far to go. Derive means start from a fundamental physics principle or an equation on the reference information and work forward — the directions on the paper say so in as many words, and in 2025 many responses lost the point by starting somewhere else. Justify means give reasoning beyond the algebra: a claim with a calculation under it is not a justification until you say what the calculation shows.

That is also where a popular shortcut goes wrong. Energy methods are often the shorter route when the question asks for a speed or a position and nothing dissipative is doing work. They are the wrong route when the quantity you need is a force. On the 2025 qualitative/quantitative question some students reached for conservation of energy to find a frictional force; static friction does no work, so it never appears in an energy equation at all. If the unknown is a force, write Newton’s second law, and on a rolling problem write it twice, once for translation and once for rotation.

Where students lose the most points

What Section II is like on exam day

AP Physics C: Mechanics is a hybrid digital exam. You answer the multiple-choice questions and read the free-response questions in the Bluebook app, and you write your answers by hand in a paper booklet that is collected and scored. Scratch paper is available, but nothing you write on it is scored, so the booklet is the only place your work counts. Label each part and sub-part, because credit is only awarded for work the reader can tell is the solution to a specific part.

You are allowed a four-function, scientific or graphing calculator on both sections, and Bluebook carries a built-in Desmos scientific and graphing calculator as well. The 2027 calculator restrictions apply to AP Biology, AP Environmental Science and AP Statistics; they do not touch Physics. A ruler and a straightedge are allowed too, which is worth knowing before you draw a best-fit line freehand.

Reference information, meaning the Table of Information and the equation sheet, is printed and handed out on exam day and is also available in Bluebook. Each of the four AP Physics exams has its own booklet, so check that the one in front of you says Physics C: Mechanics. You may write on it, but nothing written there is scored. If you want the same relationships grouped by topic to study from, that is what our AP Physics C Mechanics formula sheet is for.

You can move between the four questions until time expires, so there is no penalty for starting with the one you find easiest. The on-screen clock turns red when 5 minutes remain, and the proctor gives no verbal warning, so that red clock is the only cue you get.

One more thing, if you are working from older material. Starting with the May 2027 exam the multiple-choice section is 42 questions in 85 minutes, up from 40 questions in 80 minutes, and the free-response section is 95 minutes, down from 100. Guides that describe three free-response questions in 45 minutes are describing the exam as it was through May 2024.

How to practice the AP Physics C Mechanics FRQ

College Board publishes every past AP Physics C free response question together with its scoring guidelines. Work the released free-response questions and scoring guidelines under a timer, then score yourself against the guideline so you learn where the points actually live. The 2025 and 2026 papers use the four-question format; anything from 2024 or earlier is the old three-question section, so use those for the physics rather than for pacing.

Give each question the time College Board suggests rather than splitting 95 minutes evenly. Spending 25 minutes on a 10-point question and 15 on an 8-point one is not an accident; it is the ratio the paper is built to. And because you can move freely between the four, it is worth deciding in advance whether to take Question 4 early rather than meeting it last, when the clock is short and it is already the question the field scores worst on.

To see where a practice score lands on the 1 to 5 scale, run it through our AP Physics C Mech score calculator, and use the broader AP Physics C Mechanics review guide to connect this work to the rest of the exam. For the current format, the exam date and the question counts straight from the source, see College Board’s AP Physics C: Mechanics exam page.