About · First Principles Physics
About

First Principles Physics.

A complete AP Physics 1 resource — built by a student, for students, while learning the material itself.

01
The story

Why this site exists

I started building this site while taking AP Physics 1 as a sophomore. The idea was simple: write up each unit the way I wished it had been explained to me, then turn around and use those same notes to help classmates who were stuck on the same problems I'd just worked through. By the end of the year, "my notes" had grown into a full eight-unit course.

What you're reading now is the result — eight units of original lessons, study guides, worksheets, and worked solutions, covering every topic on the AP Physics 1 exam. The voice is peer-to-peer. I'm not pretending to be a textbook. I'm sharing what worked for me, including the mistakes I made along the way.

Physics clicked for me because of the way concepts build on each other. Unit 5 is just Unit 2 with rotation. Unit 6 is Units 3 and 4 with rotation. Unit 8 ties everything together. Once you see the structure, the formulas stop feeling random. That's what I tried to capture in the lessons here.
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02
Who I am

Hi, I'm Sanjay

I'm a sophomore in high school. I'm interested in physics, math, and how things work — the kind of student who liked Unit 5 because rotation finally explained why figure skaters speed up when they pull their arms in.

This isn't my first time writing about a subject I was actively learning, but it's the most ambitious version of it. Over the course of an academic year, I built every page on this site from scratch — the lessons, the problem sets, the solutions, the layout, the typography. The goal was to make a resource I'd actually want to use to study, and that I'd be proud to share.

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03
What's here

The structure of every unit

Each of the eight AP Physics 1 units follows the same nine-section template. The repetition is intentional — once you've learned the layout, you can find what you need fast.

  1. Lesson — A full explanation of the unit, written like a confident peer talking you through the concepts. Roughly 2,500 words per unit, with worked examples.
  2. Formula reference sheet — Every equation in the unit, with units, when to use it, and a starred mark for the ones on the AP equation sheet.
  3. Study guide — A one-page distillation. The night-before-the-test cheat sheet.
  4. Worksheet A · Foundation — Ten problems, basic to moderate, building intuition.
  5. Worksheet B · AP exam style — Ten problems in the exact format of the real AP exam, including problems modeled on the 2025 free-response questions.
  6. Worksheet C · Challenge — Five problems at olympiad / F=ma level. Optional, for the stretch.
  7. Complete worked solutions — Every problem solved step by step, with key insights and common errors flagged inline.
  8. Common mistakes — Seven errors that cost real students real points, with the wrong way, the right way, and why the mistake happens.
  9. Tutor's corner — What I learned going through the unit, including what separates a 4 from a 5, and one piece of advice before the test.

The AP-style worksheet problems are modeled directly on recent AP Physics 1 free-response questions. If something on the site is unclear or wrong, I'd genuinely like to know — feedback makes this better.

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04
Who this is for

If you're taking AP Physics 1, this is for you

The site is built for students taking AP Physics 1 — or honors physics, or any first-year algebra-based mechanics course. The explanations don't assume you've already gotten the concept. They start from first principles (which is also where the name comes from) and build up.

It's also useful if you're about to take the course and want to preview the year, or if you're studying for the exam in May and want to do a clean review unit by unit.

What it's not: a textbook replacement. Your textbook has more depth, more rigor, and an entire team of editors and educators behind it. This site has me. The trade-off is voice — explanations written by someone who just figured this out tend to land differently than explanations written by someone who's known it for thirty years.

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05
Tutoring

Free one-on-one help

I offer free one-on-one AP Physics 1 tutoring for students who want help going beyond what's on the site. Sessions run about an hour and are held online. We can work through whatever's giving you trouble, whether that's specific concepts, homework problems, or AP exam prep.

Why free? Honestly, because helping classmates work through hard problems is how I got better at physics in the first place. Teaching something is the best way to learn it, and the students I've worked with have made me a better student myself. If the site helps you and a session would help more, just reach out.

If you're interested, you can book a session here or email me directly.

A note on what I am and am not

I'm a high school student, not a professional tutor. What I bring is recent, immediate experience with the material. I know which parts trip students up because they tripped me up first. If what you need is a credentialed teacher with years of experience, I'm not your best option, and I'd rather tell you that than oversell. If what you need is someone close to your level who can walk through problems with you patiently, I'm happy to help.

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06
Contact

Get in touch

The fastest way to reach me is by email at fpphysicshelp@gmail.com. I read everything — corrections to the site, questions about a problem, tutoring inquiries, or just notes from anyone using this for their own studying.

If something I wrote helped you understand a concept, or if a worked solution clicked when nothing else did, I'd love to hear it. Knowing the site reaches actual students using it for actual exams is the entire reason I built it.

One more thing Building this site has been the most meaningful project I've worked on in high school. Whether you're a fellow student studying for an exam or a teacher considering whether to share this with a class, I hope it's useful. If it isn't, tell me — I'll fix it.
First Principles Physics   ·  AP Physics 1 · A complete eight-unit course

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