AP® Physics 2: Algebra-Based Free-Response Questions (FRQs) — 2015 to 2025

🔬 What Is AP Physics 2: Algebra-Based?

AP Physics 2: Algebra-Based is a second-year algebra-based physics course offered by the College Board, designed as the equivalent of a second-semester introductory university physics class. It picks up where AP Physics 1 leaves off — students transition from kinematics, Newton's laws, oscillations, and mechanical waves into the broader physical world of fluids, thermodynamic systems, electrical and magnetic phenomena, geometric and wave optics, and the counterintuitive territory of quantum, atomic, and nuclear physics.

Unlike the AP Physics C sequence, AP Physics 2 uses only algebra and trigonometry, not calculus. This does not mean the exam is easy — the free-response questions are specifically designed to probe conceptual depth, require well-reasoned written explanations, demand experimental design thinking, and expect students to model complex multi-step physical scenarios using proportional reasoning and algebraic relationships. Students who underestimate the qualitative demands of AP Physics 2 FRQs consistently leave points behind that algebraically fluent students capture easily.

The course spans six major content areas: (1) Fluids including static pressure, Archimedes' principle, and fluid dynamics with Bernoulli's equation and the continuity equation; (2) Thermal physics including kinetic theory, the ideal gas law, thermodynamic processes, and the first and second laws of thermodynamics; (3) Electric force, field, and potential; (4) Electric circuits including Ohm's law, Kirchhoff's laws, resistors, and capacitors; (5) Magnetism and electromagnetic induction; and (6) Geometric and physical optics, quantum physics, atomic models, and nuclear decay. The free-response section demands fluency across all six areas, and any year's exam may draw questions from any combination of them.

📊 AP Physics 2 Exam Structure

📂 AP Physics 2 FRQs by Year (2015–2025)

Each year card gives direct access to the official FRQ booklet, scoring guidelines, chief reader or student performance report, scoring statistics, and score distributions. The Related FRQ Topics preview identifies the primary physics concepts tested each year, helping you prioritise which past papers to practise first based on your weakest units.

📚 AP Physics 2 — Core Concepts Explained

AP Physics 2 spans six major topic areas. Free-response questions draw from any combination, so wide conceptual coverage is essential for a strong score. Below is an in-depth guide to each area as it appears in FRQs.

Fluids — Static and Dynamic Fluid Mechanics

Fluid mechanics is one of the highest-frequency topic areas in AP Physics 2 FRQs, appearing in virtually every exam year from 2015 to 2025. Static fluid problems involve pressure as a function of depth (\(P = P_0 + \rho g h\)), Archimedes' principle (\(F_b = \rho_{\text{fluid}} g V_{\text{displaced}}\)), and equilibrium of floating and submerged objects. Students must be able to draw free-body diagrams for objects in fluids, write Newton's second law in the vertical direction, and determine whether objects float or sink based on density comparisons.

Dynamic fluid problems use the continuity equation (\(A_1 v_1 = A_2 v_2\)) for incompressible fluids and Bernoulli's equation (\(P + \frac{1}{2}\rho v^2 + \rho g h = \text{constant}\)) to relate pressure, speed, and height at two points in a moving fluid. Common FRQ scenarios include pipes with changing cross-section, torricelli's theorem (fluid draining from a tank), and airplane-wing lift qualitative reasoning. Students frequently lose points by applying Bernoulli's equation between inappropriate points or failing to justify which simplifications (like \(\Delta h = 0\)) apply.

Thermodynamics — Thermal Systems and Laws

Thermodynamics FRQs test three interconnected skill sets. First, applying the ideal gas law (\(PV = nRT\)) to find pressure, volume, temperature, or number of moles given the other three, and reasoning through proportional changes (e.g., doubling temperature at constant volume doubles pressure). Second, identifying the type of thermodynamic process — isothermal (\(\Delta T = 0\)), isobaric (\(\Delta P = 0\)), isochoric (\(\Delta V = 0\)), or adiabatic (\(Q = 0\)) — from a PV diagram or word description, and determining the work done (\(W = P\Delta V\) for isobaric), heat added (\(Q\)), and change in internal energy (\(\Delta U = Q - W\)) using the first law of thermodynamics. Third, reasoning qualitatively about entropy and the second law — why heat flows from hot to cold, why no real engine achieves 100% efficiency, and how reversibility is related to entropy change.

Electricity — Electric Force, Field, and Potential

Electrostatics FRQs require applying Coulomb's law (\(F = k\frac{q_1 q_2}{r^2}\)) to calculate forces between point charges and sketching electric field lines and equipotential surfaces for charge configurations including point charges, dipoles, and parallel plate capacitors. The electric field (\(E = \frac{F}{q} = k\frac{q}{r^2}\)) and electric potential (\(V = k\frac{q}{r}\)) are related by \(W = q\Delta V\), and students must track signs carefully when determining whether a charge gains or loses kinetic energy moving through a potential difference. Capacitor FRQs involve calculating capacitance of parallel plates (\(C = \frac{\varepsilon_0 A}{d}\)), energy stored (\(U = \frac{1}{2}CV^2\)), and the effect of inserting a dielectric on \(C\), \(V\), and \(U\) — with the crucial constraint of whether the capacitor remains connected to a battery.

Electric Circuits — Ohm's Law, Kirchhoff's Laws, and Circuit Analysis

Circuit FRQs are among the most consistently multi-step problems in AP Physics 2. Students must find equivalent resistance for series (\(R_{\text{eq}} = R_1 + R_2 + \ldots\)) and parallel combinations (\(\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \ldots\)), apply Ohm's law (\(V = IR\)) and power dissipation (\(P = IV = I^2 R = \frac{V^2}{R}\)) to each element, and use Kirchhoff's junction rule (\(\sum I_{\text{in}} = \sum I_{\text{out}}\)) and loop rule (\(\sum V_{\text{loop}} = 0\)) for multi-loop circuits. Understanding internal resistance, terminal voltage, and the effect of adding or removing resistors on the current through other branches are all high-frequency FRQ sub-questions. Experimental design questions frequently ask students to describe how to use ammeters and voltmeters to measure resistance or verify Ohm's law.

Magnetism and Electromagnetic Induction

Magnetism FRQs test the magnetic force on charged particles (\(F = qvB\sin\theta\)) and current-carrying wires (\(F = BIL\sin\theta\)), the right-hand rule for determining force direction, and circular motion of charges in uniform magnetic fields. Electromagnetic induction — Faraday's law (\(\mathcal{E} = -\frac{\Delta\Phi_B}{\Delta t}\)) and Lenz's law — is regularly tested qualitatively: students must determine the direction of induced current when the flux through a loop changes. Unlike AP Physics C: E&M, AP Physics 2 treats induction at a conceptual and algebraic level without calculus; the key skills are identifying whether flux is increasing or decreasing and correctly applying Lenz's law to determine induced current direction and any resulting force on the loop.

Optics, Quantum Physics, and Modern Physics

Optics FRQs span both geometric and physical (wave) optics. Geometric optics problems use ray diagrams and the thin lens equation (\(\frac{1}{d_o} + \frac{1}{d_i} = \frac{1}{f}\)) to locate images for converging and diverging lenses and mirrors, determine magnification (\(m = -\frac{d_i}{d_o}\)), and analyse total internal reflection using Snell's law (\(n_1\sin\theta_1 = n_2\sin\theta_2\)). Wave optics problems apply double-slit interference (\(d\sin\theta = m\lambda\)) and single-slit diffraction to determine wavelength or slit separation from fringe patterns. Modern physics content — tested more heavily in AP Physics 2 than in any other AP physics course — includes the photoelectric effect (photon energy \(E = hf\), maximum kinetic energy of ejected electrons, work function), the de Broglie wavelength (\(\lambda = h/p\)), atomic emission and absorption spectra via Bohr model energy levels, and nuclear decay (alpha, beta, gamma) with half-life calculations (\(N = N_0(1/2)^{t/t_{1/2}}\)).

🔣 Essential AP Physics 2 Formulas (MathJax Rendered)

The College Board provides a formula reference sheet on exam day, but knowing when and how to apply each equation — and being able to reason about it qualitatively — is what separates 4s from 5s. Here are 14 core formulas most frequently tested in the AP Physics 2 FRQ section.

📖 How to Use AP Physics 2 Past FRQs to Score a 5

AP Physics 2 FRQs are uniquely demanding because they reward written explanation and physical reasoning more heavily than calculation alone. The following systematic approach is built from analysis of scoring rubrics, chief reader reports, and sample responses across all exam years.

1. Practise All Four FRQ Types — Not Just Short-Answer Calculation AP Physics 2 has four distinct FRQ formats: a long experimental design question (highest points, most complex), a quantitative-qualitative translation (QQT) question requiring you to connect equations to physical interpretation, and two short-answer questions. Each type rewards different skills. Students who study only calculation-based short-answer questions are underprepared for the experimental design and QQT formats, which together account for more than half the FRQ score.
2. Read the Chief Reader Report Before Your Next Study Session The chief reader report describes — topic by topic — where students perform well and where they lose points nationally. Reading it for the most recent two or three years gives you a ranked list of error types to directly practise. For AP Physics 2, chief reader reports consistently highlight poor performance on qualitative written justifications, incomplete free-body diagrams in fluid problems, and misapplication of Bernoulli's equation.
3. Write Out Every Justification in Full Sentences AP Physics 2 rubrics explicitly reward "correct description of physical reasoning" with dedicated criteria. An answer of "\(F_b > mg\) so the object rises" loses the justification point. The rubric-winning version: "The buoyant force \(F_b = \rho_{\text{fluid}} g V_{\text{displaced}}\) exceeds the object's weight \(mg\) because the fluid density is greater than the object density, producing a net upward force." Practise writing one complete justification sentence per sub-part.
4. Connect Proportional Reasoning to Every Quantitative Formula Many FRQ sub-parts ask how a quantity changes when another doubles, halves, or is multiplied by some factor — without requiring a numerical answer. Every formula in the formula sheet can be turned into a proportional reasoning statement. Practise this: given \(PV = nRT\) at constant \(n\) and \(V\), if \(T\) is tripled, what happens to \(P\)? Answer: \(P\) triples (\(P \propto T\) at constant \(n\), \(V\)). This type of reasoning appears in 2–3 sub-parts per exam.
5. Draw and Label Diagrams Before Calculating For fluid, optics, and electric field FRQs, drawing a diagram with all relevant vectors, field directions, ray traces, or flow paths labelled before calculating significantly reduces directional errors. The rubric frequently awards a point for a correct diagram independently of the numerical calculation, meaning a student who draws correctly but calculates incorrectly can still earn partial credit.
6. Identify the Experimental Design Question's Three Components Every experimental design FRQ expects students to describe: (1) what measurements to take and what instrument to use, (2) how to vary the independent variable and control all others, and (3) how to use the collected data — typically a graph with a specific linearised relationship — to determine the target quantity. Practise writing structured responses with these three components explicitly addressed for experimental design FRQs from 2015 to 2025.
7. Review the Scoring Guidelines for Exact Rubric Language Scoring guidelines reveal which specific words and physically correct phrases earn rubric points. Phrases like "the magnetic force is perpendicular to velocity" or "entropy of the isolated system increases" may be required verbatim or with equivalent physical meaning. Comparing your written responses to the model answers in the scoring guidelines trains precise physical language that rubric readers reward.

💡 Top AP Physics 2 FRQ Scoring Strategies

📅 High-Frequency FRQ Topics — AP Physics 2

Based on analysis of all AP Physics 2 exam years from 2015 to 2025, these topic areas appear with the highest consistency across the four free-response questions. Prioritising these units yields the greatest score improvement per study hour.

🔗 Explore All AP STEM FRQs on NUM8ERS

NUM8ERS is your centralised hub for official AP past papers. The broad topic coverage of AP Physics 2 — from fluids to quantum mechanics — means that the analytical and reasoning skills you develop studying its FRQs transfer directly to university physics, engineering, and pre-med science coursework. Browse companion AP subject resources below.

❓ Frequently Asked Questions