The F=ma exam is the front door to the U.S. Physics Olympiad, and choosing the right F=ma resources early is the single biggest lever on a student's score.
Each year the American Association of Physics Teachers (AAPT) runs the F=ma exam as the qualifying round for selecting the U.S. Physics Team. It is a 75-minute test of 25 multiple-choice questions focused entirely on algebra-based mechanics. There is no penalty for wrong answers, so every blank should become a guess. Top scorers are invited to the longer, calculus-based USAPhO exam, and from there a small group advances to the training camp that selects the team for the International Physics Olympiad.
Because the syllabus is narrow but the problems are deep, the goal of any study plan is not memorizing formulas. It is building intuition that holds up against unfamiliar setups. Below is the resource stack we recommend to ambitious students.
What the F=ma Exam Actually Covers
Before buying books, understand the scope. The exam concentrates on classical mechanics, and questions are designed so that calculus is never strictly required, though a calculus-trained student can sometimes find a faster path. Core topics include:
- Kinematics — motion in one and two dimensions, projectiles, relative motion.
- Newton's laws and statics — free-body diagrams, friction, equilibrium, tension and normal forces.
- Energy and momentum — work-energy theorem, conservation laws, collisions, center of mass.
- Rotation, oscillations, and orbital mechanics — torque, moment of inertia, simple harmonic motion, gravitation.
- Fluids and basic data analysis — buoyancy, pressure, and reading experimental relationships.
Eligibility is tied to being a U.S. citizen, permanent resident, or a student currently attending a U.S. school, and exams are taken inside the U.S. Format, dates, and the score cutoff that advances students to USAPhO change from year to year, so always confirm current rules and registration on the official AAPT U.S. Physics Team site rather than relying on last season's numbers.
The Best F=ma Books and Practice Materials
If you read only one book, make it David Morin's Problems and Solutions in Introductory Mechanics. Its difficulty curve and worked solutions map almost perfectly onto F=ma-style reasoning, and a student who finishes it cover to cover is genuinely prepared. For broader physics depth, Halliday, Resnick, and Krane's Physics offers thousands of challenging problems and is a strong follow-up once Morin feels comfortable.
The highest-value free resource is the archive of past F=ma exams and official solutions published by AAPT. Nothing else calibrates your timing and pattern recognition as well as the real thing.
Study order that works: build concepts, then drill problems, then simulate the real test. Most students plateau because they skip straight to past exams without first developing problem-solving habits on a structured book like Morin.
For learning or shoring up concepts, Khan Academy covers the full mechanics syllabus for free, and MIT OpenCourseWare classical mechanics lectures go deeper for students who want rigor. Pair video learning with active problem-solving — passively watching lectures rarely moves a competition score.
A Study Strategy That Compounds
Resources only pay off inside a routine. A simple, effective loop looks like this:
- Learn the concept for a topic using Khan Academy or your textbook.
- Drill problems from Morin until you can explain each solution without looking.
- Simulate full exams under a strict 75-minute clock using past AAPT papers.
- Review every miss and tag whether it was a concept gap, an algebra slip, or a pacing error.
That error log is where real gains live. Strong physics olympiad preparation also reinforces the analytical thinking that fuels broader STEM goals — the same skills show up in independent research and in other olympiad-style academic competitions. Treat F=ma as a foundation, not a finish line.
If your student wants structured coaching, a paced curriculum, and feedback on their problem-solving, explore BIAA's STEM programs to build a plan that turns these F=ma resources into a real qualifying score.