AP® Physics 1: Algebra-Based Free-Response Questions (FRQs) — 2015 to 2025

⚡ What Is AP Physics 1: Algebra-Based?

AP Physics 1: Algebra-Based is the most widely taken algebra-based physics course offered through the College Board's Advanced Placement programme. Designed as the equivalent of the first semester of a college-level, non-calculus introductory physics course, it covers the foundational mechanics and wave topics that underpin all further study in physics, engineering, and the life sciences. Because it requires only algebra and trigonometry — not calculus — AP Physics 1 is accessible to students who have completed or are concurrently enrolled in precalculus, making it the primary entry point to AP-level physics for the majority of high school students.

The course is structured around seven core content areas: (1) Kinematics — describing motion in one and two dimensions using position, velocity, and acceleration; (2) Newton's Laws of Motion — applying forces to predict the motion of objects and systems; (3) Work, Energy, and Power — using energy conservation as a problem-solving tool; (4) Systems of Particles and Linear Momentum — analysing collisions and impulse; (5) Rotation — extending mechanics to rotating rigid bodies with angular kinematics and torque; (6) Oscillations — modelling periodic motion with simple harmonic motion; and (7) Waves and Sound, with basic electric circuits added in recent course revisions. Each of these areas appears in the free-response section, often within the same question as a multi-part, multi-concept problem.

Critically, AP Physics 1 is not just a calculation course. The free-response section explicitly measures three categories of science practice: applying physical principles mathematically, qualitative written explanation of physical phenomena, and experimental design and data analysis. Students who treat AP Physics 1 as purely a maths exercise are consistently outscored by those who invest equal time in practising written justification and experimental reasoning — the skills that differentiate 3s from 4s and 4s from 5s on this exam.

The AP Physics 1 exam has been one of the most challenging AP exams by pass rate since its introduction in 2015, with the percentage of students scoring 3 or above frequently sitting below 45%. This makes careful, strategic preparation using authentic past papers — especially multiple years of free-response questions alongside their scoring guidelines — one of the highest-impact activities a student can undertake in the months before the exam.

📊 AP Physics 1 Exam Structure (2024–2025 Format)

📂 AP Physics 1 FRQs by Year (2015–2025)

Each year card provides direct access to the official FRQ booklet, scoring guidelines, chief reader or student performance report, scoring statistics, and score distributions from the College Board. The Related FRQ Topics preview inside each card identifies the primary physics concepts tested that year, helping you prioritise which past papers to study first based on your personal areas for improvement.

📚 AP Physics 1 — Core Concepts and Topics Explained

AP Physics 1 covers seven major content areas. The free-response section tests conceptual depth across all of them, often in multi-concept problems that require students to integrate multiple physics principles in a single answer. Here is a detailed explanation of each area as it appears in FRQs.

Kinematics — Describing Motion with Graphs and Equations

Kinematics FRQs require students to interpret and sketch position-time (\(x\text{–}t\)), velocity-time (\(v\text{–}t\)), and acceleration-time (\(a\text{–}t\)) graphs for objects undergoing constant and non-constant acceleration. Key formulas include \(v = v_0 + at\), \(x = x_0 + v_0t + \frac{1}{2}at^2\), and \(v^2 = v_0^2 + 2a\Delta x\). Two-dimensional kinematics — particularly projectile motion — requires students to decompose motion into independent horizontal (\(a_x = 0\)) and vertical (\(a_y = -g\)) components. A crucial AP Physics 1 FRQ skill is reading quantitative information from graphs: the slope of a \(v\text{–}t\) graph is acceleration; the area under a \(v\text{–}t\) graph is displacement. Students who can move fluently between graphical and algebraic representations of the same motion earn the most complete rubric credit across kinematic sub-parts.

Newton's Laws of Motion — Forces and System Dynamics

Newton's laws are the backbone of AP Physics 1 and appear in some form in virtually every exam year's FRQ set. Newton's Second Law (\(\sum F = ma\)) requires students to identify all forces acting on an object, draw a correct free-body diagram with accurately scaled and labelled arrows, and write \(\sum F = ma\) for one or two directions. Common FRQ scenarios include objects on inclined planes with friction, Atwood machines (two hanging masses over a pulley), connected objects pushed or pulled by a single applied force, and circular motion scenarios where the centripetal acceleration \(a_c = \frac{v^2}{r}\) must equal the net radial force divided by mass. Newton's Third Law — that forces come in equal and opposite action-reaction pairs acting on different objects — is frequently tested as a conceptual written question asking students to identify and describe the force pair for a given interaction.

Work, Energy, and Power — Conservation as a Problem-Solving Tool

The work-energy theorem (\(W_{\text{net}} = \Delta KE\)) and conservation of mechanical energy (\(KE_i + PE_i = KE_f + PE_f\) when work done by friction is zero) are among the most powerful tools in AP Physics 1. Energy FRQs frequently use energy bar charts — bar graph representations of kinetic, gravitational potential, and spring potential energy at different points in a scenario — to test conceptual understanding without calculation. When non-conservative forces (friction, air resistance) do work, students must apply the extended energy equation: \(W_{\text{nc}} = \Delta KE + \Delta PE\). Spring potential energy \(U_s = \frac{1}{2}kx^2\) and gravitational potential energy \(U_g = mgh\) both appear in FRQ scenarios requiring energy tracking through launch, flight, and landing sequences. Power (\(P = \frac{W}{t} = Fv\)) appears less frequently but is tested in multi-part questions involving engines or objects moving at terminal velocity.

Systems of Particles and Linear Momentum

Linear momentum \(\vec{p} = m\vec{v}\) is conserved in any system where the net external force is zero — the basis for all collision analysis. AP Physics 1 FRQs test three collision types: perfectly inelastic (objects stick, momentum conserved, kinetic energy not conserved), elastic (both momentum and kinetic energy conserved), and explosions (system initially at rest, then separates). The impulse-momentum theorem (\(J = F\Delta t = \Delta p\)) connects force and time to the change in momentum, and is frequently tested in problems involving force-time graphs where the area equals the impulse. Centre of mass (\(x_{cm} = \frac{m_1x_1 + m_2x_2}{m_1+m_2}\)) appears as a qualitative reasoning question about system motion. Students commonly err by applying momentum conservation when external forces (e.g., friction) are present — always check the no-net-external-force condition before using \(\sum p = \text{constant}\).

Rotation — Torque, Angular Kinematics, and Rotational Dynamics

Rotational mechanics is the most conceptually challenging and mathematically rich topic unique to AP Physics 1 (not covered in AP Physics 2). Angular kinematics uses \(\omega = \omega_0 + \alpha t\) and \(\theta = \omega_0 t + \frac{1}{2}\alpha t^2\), parallel to linear kinematics. Torque (\(\tau = rF\sin\theta\)) is the rotational analogue of force, and Newton's second law for rotation is \(\sum\tau = I\alpha\). Rotational inertia \(I\) depends on mass distribution relative to the rotation axis; objects farther from the axis have larger \(I\). Rotational kinetic energy \(KE_{rot} = \frac{1}{2}I\omega^2\) contributes to total mechanical energy in rolling problems. Angular momentum \(L = I\omega\) is conserved when there is no net external torque — the physics underlying the classic spinning skater problem. FRQ rotational questions frequently involve a physical setup (like a see-saw, door, or spool) and require students to balance torques, find angular acceleration, or apply angular momentum conservation.

Simple Harmonic Motion and Oscillations

Oscillation FRQs focus on the period of simple harmonic motion for two systems: the mass-spring (\(T = 2\pi\sqrt{m/k}\)) and the simple pendulum (\(T = 2\pi\sqrt{L/g}\)). Neither depends on amplitude for small oscillations — a non-intuitive result that students must state explicitly. Energy in SHM is conserved: total mechanical energy equals spring potential energy at maximum displacement (\(E = \frac{1}{2}kA^2\)) and all kinetic energy at equilibrium. The relationship \(v_{\max} = A\omega\) where \(\omega = 2\pi/T\) is useful in energy questions. A common FRQ sub-part asks students to sketch position, velocity, and acceleration as functions of time for an oscillating object — all must have the same period \(T\) but with velocity 90° out of phase and acceleration 180° out of phase with position.

Mechanical Waves and Sound

Wave FRQs test the wave speed equation (\(v = f\lambda\)), standing wave patterns on strings and in open/closed pipes (resonance at \(L = n\lambda/2\) for strings and open pipes; \(L = (2n-1)\lambda/4\) for closed pipes), and the superposition principle for constructive and destructive interference. Students must use the relationship \(v = \sqrt{F_T/\mu}\) for wave speed on a string (where \(F_T\) is tension and \(\mu\) is linear mass density) to predict how wave speed changes when string properties change proportionally. Wave questions frequently appear as experimental or Doppler-effect qualitative scenarios where students must predict whether observed wavelength increases or decreases for a moving source or observer.

🔣 Essential AP Physics 1 Formulas (MathJax Rendered)

The College Board provides a formula reference sheet during the exam — but understanding what each equation means physically, and knowing which form to use in a given scenario, is the skill the FRQ rubric rewards. Here are 14 high-priority formulas rendered in proper mathematical notation.

📖 How to Use AP Physics 1 Past FRQs to Score a 5

AP Physics 1 is one of the most challenging AP exams by percentage of students scoring 3 or above. The FRQ section demands not just correct calculations, but precise written reasoning, correct use of physics language, and experimental design thinking. The following 7-step strategy is built from analysis of scoring guidelines, chief reader reports, and sample responses across all 11 exam years.

1. Work Through at Least 4 Full Past Exam FRQ Sets — Timed Completing past FRQs under timed conditions (90 minutes for 5 questions) is the single most impactful preparation activity. No amount of reading replaces the experience of breaking down a complex multi-part problem under time pressure. Start with 2019 and 2021, then work backward. After timing yourself, check each response against the scoring guidelines — not your textbook — to identify exactly which rubric points you missed.
2. Master the Free-Body Diagram Before the Equations AP Physics 1 scoring guidelines consistently award early rubric points for correct free-body diagrams. A correct FBD with accurately labelled forces, proper directions, and appropriate lengths earns points independent of any downstream calculation. Every Newton's Law, circular motion, and torque equilibrium FRQ sub-part that involves force analysis should begin with a FBD — even if the question does not explicitly request one.
3. Write One Justification Sentence for Every Qualitative Sub-Part AP Physics 1 FRQs include a higher proportion of qualitative written-reasoning questions than any other algebra-based AP STEM exam. Rubric language for these questions includes phrases like "correctly identifies the physical principle" and "provides valid reasoning." Practise writing exactly one clear, complete sentence that names the relevant physics principle, states it correctly, and applies it to the specific scenario. Vague answers ("it slows down because of friction") consistently receive fewer points than specific ones ("the kinetic friction force acts in the direction opposite to the object's velocity, reducing its kinetic energy and therefore its speed").
4. Study Energy Bar Charts Until They Are Second Nature Energy representation questions — often requiring students to draw or interpret energy bar charts (sometimes called LOL diagrams) — appear in the FRQ section and are frequently cited in chief reader reports as a high point-loss area. Practise all six common transitions: spring-to-kinetic, kinetic-to-gravitational, gravitational-to-kinetic, spring + gravitational to kinetic, and the same with friction reducing total energy. Each bar height must be proportional to the amount of that energy type — students who draw bars in wrong proportions lose rubric points even if they label them correctly.
5. Practise Experimental Design With the Three-Component Framework Long FRQ questions (worth the most points) frequently include an experimental design sub-part requiring students to describe (1) what to measure and with what equipment, (2) how to systematically vary the independent variable while controlling all others, and (3) how to use the resulting data — typically what to graph, what the slope represents, and how it yields the target quantity. Each component is independently rubric-scored. Students who describe a valid experiment but fail to address data analysis lose 1–2 points per question.
6. Review Chief Reader Reports for the Last Three Years Chief reader reports are the single best source of information about recurring student errors, weak performance areas, and the specific reasoning rubric readers reward. They describe exactly which student responses received full credit, partial credit, and zero credit for each sub-part. Reading the reports for 2022, 2023, and 2024 before exam day gives you a roadmap of the exact reasoning patterns and physics vocabulary that earn the most points.
7. Connect Every Formula to a Proportional Reasoning Prediction At least one FRQ sub-part per exam year asks a factor-change proportional reasoning question (e.g., "If the mass is doubled and the spring constant is halved, by what factor does the period change?"). For \(T = 2\pi\sqrt{m/k}\): if \(m\to 2m\) and \(k \to k/2\), then \(m/k \to 4m/k\), so \(T\) increases by factor \(\sqrt{4} = 2\). Practise this reasoning for every formula in the course. State the proportionality explicitly in your response; do not just write the numerical answer without justification.

💡 AP Physics 1 FRQ Scoring Strategies

📅 High-Frequency FRQ Topics — AP Physics 1

Based on analysis of all AP Physics 1 exam years from 2015 to 2025, the following topic areas appear with the highest consistency across the five free-response questions. Prioritising these units yields the greatest score improvement per study hour invested.

🔗 Explore All AP STEM FRQs on NUM8ERS

NUM8ERS provides the most comprehensive, organised collection of AP STEM past papers on the web. The foundational mechanics skills you develop through AP Physics 1 FRQ practice — vector decomposition, energy conservation, systems thinking, and experimental reasoning — transfer directly to every other AP STEM course and to university physics and engineering. Browse companion AP subject resources below.

❓ Frequently Asked Questions