Free-response practice
Physics C: Mechanics free-response questions
Free-response questions (FRQs) are the part of the AP® Physics C: Mechanics exam where you write your own answers. Here they're grouped the way the exam uses them. Write your answer, then score it yourself with the rubric and a model answer, or sign in for free AI scoring.
24 questions · 4 types
New for the May 2027 exam
- Free response is now 95 minutes (it was 100). College Board's announcement (opens in a new tab) (apcentral.collegeboard.org · CED clarifications, p. 1 (Exam Overview))
Mathematical routines (MR)
A multipart problem where you use math, including calculus, to analyze a physical situation. You draw or sketch a representation such as a free-body diagram or a graph, derive an equation using letters, calculate a numerical answer with units, and then make a claim or prediction and justify it with physics reasoning.
On the exam: Question 1 of 4. New for May 2027: the free-response section is 95 minutes, down from 100, for all 4 questions (50% of your score), one of each type in this order. Calculator and equation sheet allowed. The CED suggests 20–25 minutes. This question type started in May 2025, so Physics C: Mechanics free-response questions from 2024 and earlier are built differently. Plan on about 22 minutes for one.
Units 1 and 2
Motorboat coasting against linear drag
10 points · about 22 minutes · calculator allowed
Units 2, 5 and 6
Block unwinding a string from a solid cylinder
10 points · about 22 minutes · calculator allowed
Units 2, 3 and 4
Bullet embedding in a block on a spring
10 points · about 22 minutes · calculator allowed
Units 2, 3 and 6
Satellite in orbit around a small planet
10 points · about 22 minutes · calculator allowed
Unit 3
Launcher with a nonlinear elastic cord
10 points · about 22 minutes · calculator allowed
Units 2, 5 and 6
Swinging a rod whose density increases along it
10 points · about 22 minutes · calculator allowed
Translation between representations (TBR)
A multipart problem about one situation shown in several ways. You draw a diagram, derive equations, sketch or draw graphs, and then explain whether your answers agree with each other or use them to predict what happens when the situation changes.
On the exam: Question 2 of 4. New for May 2027: the free-response section is 95 minutes, down from 100, for all 4 questions (50% of your score), one of each type in this order. Calculator and equation sheet allowed. The CED suggests 25–30 minutes. This question type started in May 2025, so Physics C: Mechanics free-response questions from 2024 and earlier are built differently. Plan on about 28 minutes for one.
Units 1, 2 and 4
Particle with a cubic position function
12 points · about 28 minutes · calculator allowed
Units 2, 3 and 7
Block dropped on a vertical spring
12 points · about 28 minutes · calculator allowed
Units 3 and 4
Cart pushed by a force that varies with time
12 points · about 28 minutes · calculator allowed
Units 5 and 6
Solid cylinder and hoop rolling down a ramp
12 points · about 28 minutes · calculator allowed
Units 2 and 7
Block on a horizontal spring: equations and graphs
12 points · about 28 minutes · calculator allowed
Units 2 and 3
Ball on a string in a vertical circle
12 points · about 28 minutes · calculator allowed
Experimental design and analysis (LAB)
A two-part lab question. First you design an experiment to answer a question: what you change, what you measure, the equipment and how you would analyze the data. Then you get a data table from a similar experiment, choose what to graph (often so the points fall on a straight line), plot it and use the slope, the intercept or the graph's shape to answer a question.
On the exam: Question 3 of 4. New for May 2027: the free-response section is 95 minutes, down from 100, for all 4 questions (50% of your score), one of each type in this order. Calculator and equation sheet allowed. The CED suggests 25–30 minutes. This question type started in May 2025, so Physics C: Mechanics free-response questions from 2024 and earlier are built differently. Plan on about 27 minutes for one.
Unit 2
Finding the coefficient of kinetic friction
10 points · about 27 minutes · calculator allowed
Unit 1
Launch speed from range and height
10 points · about 27 minutes · calculator allowed
Unit 4
Testing momentum conservation with sticky carts
10 points · about 27 minutes · calculator allowed
Units 5 and 7
Measuring g with a meterstick pendulum
10 points · about 27 minutes · calculator allowed
Units 2 and 3
Spring constant of a cart's plunger
10 points · about 27 minutes · calculator allowed
Units 5 and 6
Rotational inertia of a disk from dropped rings
10 points · about 27 minutes · calculator allowed
Qualitative/quantitative translation (QQT)
A shorter multipart problem that connects reasoning in words with an equation. You make and justify a claim without equations, derive an equation from a physics principle, and then explain whether the two agree or use them to predict what happens in a changed situation.
On the exam: Question 4 of 4. New for May 2027: the free-response section is 95 minutes, down from 100, for all 4 questions (50% of your score), one of each type in this order. Calculator and equation sheet allowed. The CED suggests 15–20 minutes. This question type started in May 2025, so Physics C: Mechanics free-response questions from 2024 and earlier are built differently. Plan on about 18 minutes for one.
Unit 1
Crossing a river in the least time
8 points · about 18 minutes · calculator allowed
Units 1 and 2
Block sliding up and back down a rough ramp
8 points · about 18 minutes · calculator allowed
Units 5 and 6
Ball striking a hanging rod: sticking vs bouncing
8 points · about 18 minutes · calculator allowed
Units 2 and 7
Two springs in series or in parallel
8 points · about 18 minutes · calculator allowed
Units 1, 2 and 3
Car accelerating with constant engine power
8 points · about 18 minutes · calculator allowed
Units 3 and 4
Sand pouring onto a moving conveyor belt
8 points · about 18 minutes · calculator allowed