AP Physics 1 equation sheet
Covers all eight units of the current AP Physics 1 course, including fluids. Checked against the College Board’s AP Physics 1 equation sheet, with a few extra relationships students use a lot (like v = √(2gh) for a hole in a tank).
Constants and units
| Gravity near Earth | g = 9.8 m/s2 |
|---|---|
| Universal gravitation | G = 6.67 × 10−11 N·m2/kg2 |
| Atmospheric pressure | 1 atm = 1.0 × 105 Pa |
| Units | N = kg·m/s2; J = N·m; W = J/s; Pa = N/m2 |
Kinematics
| Velocity | v = v0 + at |
|---|---|
| Position | x = x0 + v0t + ½at2 |
| No time | v2 = v02 + 2a(x − x0) |
| Graphs | slope of x–t is v; slope of v–t is a; area under v–t is displacement |
| Projectiles | vx constant; ay = −g; v0x = v0cos θ; v0y = v0sin θ |
Forces
| Newton’s second law | asys = ΣF/msys |
|---|---|
| Weight | Fg = mg |
| Friction | static Ff ≤ μsFN; kinetic Ff = μkFN |
| Spring | Fs = −kΔx |
| Gravitation | Fg = Gm1m2/r2; g = GM/r2 |
| Incline at angle θ | along the slope mg sin θ; into the slope mg cos θ |
Circular motion
| Centripetal acceleration | ac = v2/r, toward the center |
|---|---|
| Speed and period | v = 2πr/T |
Energy and power
| Kinetic energy | K = ½mv2 |
|---|---|
| Work | W = Fd cos θ; ΔK = Wnet |
| Spring energy | Us = ½k(Δx)2 |
| Gravitational energy | ΔUg = mgΔy near Earth; UG = −Gm1m2/r |
| Power | Pavg = W/Δt = ΔE/Δt; P = Fv cos θ |
| Conservation | if only gravity and springs do work, K + U stays the same |
Momentum
| Momentum | p = mv |
|---|---|
| Impulse | J = FavgΔt = Δp; area under F–t graph |
| Center of mass | xcm = Σmx/Σm; vcm = Σmv/Σm |
| Collisions | no net outside force: total p conserved; elastic: K also conserved; perfectly inelastic: objects stick |
Rotation
| Rotational kinematics | ω = ω0 + αt; θ = θ0 + ω0t + ½αt2; ω2 = ω02 + 2α(θ − θ0) |
|---|---|
| Linking linear and angular | v = rω; aT = rα |
| Torque | τ = rF sin θ; α = Στ/I |
| Rotational inertia | I = Σmr2; parallel axis I = Icm + Md2 |
| Rotational energy | K = ½Iω2 |
| Angular momentum | L = Iω; point mass L = rmv sin θ; ΔL = τΔt |
| Rolling without slipping | vcm = rω |
| Equilibrium | net force = 0 and net torque = 0 |
Oscillations
| Period and frequency | T = 1/f |
|---|---|
| Mass on a spring | T = 2π√(m/k) |
| Pendulum (small angle) | T = 2π√(L/g) |
| Position | x = A cos(2πft) or x = A sin(2πft) |
Fluids
| Density and pressure | ρ = m/V; P = F⊥/A |
|---|---|
| Pressure at depth | P = P0 + ρgh; gauge pressure ρgh |
| Buoyant force | Fb = ρVg (fluid’s density, volume of fluid pushed aside) |
| Continuity | A1v1 = A2v2 |
| Bernoulli | P1 + ρgy1 + ½ρv12 = P2 + ρgy2 + ½ρv22 |
| Hole in a tank at depth h | v = √(2gh) |
| Water | ρ = 1000 kg/m3 |
What it looks like on the calculator
The calculator version is the same sheet in plain text with short lines, so it fits the screen. Square roots are written as sqrt( ), powers with ^ and Greek letters as words. On the calculator, search a word like “torque” or “Bernoulli” to jump straight to it. The notes are stored in Archive, so a RAM clear won’t erase them.
Want your own class notes on there too?
Upload your teacher’s study guide or review packet as a PDF ($3 for up to 10 pages), or paste in your own notes. Diagrams come through as pictures.
Upload my notes or PDFCommon questions
How much does it cost to put this on my calculator?
This sheet is 515 words, so it’s a one-time $3. Typed notes are free up to 300 words and $3 from 301 to 10,000 words. If you cut it down to 300 words or fewer, it’s free. You can also add your own notes to the same order, up to 10,000 words in total (about 9,485 more words).
Does this work for regular or honors physics too?
Mostly, yes. Kinematics, forces, energy, momentum and circular motion are the same equations in any algebra-based physics class. Rotation and fluids may be more than your class needs, and you can delete those parts in the editor.
Can I change the notes before I pay?
Yes. The button opens the sheet in the CiNotes notes editor. Delete what you don’t need, add your teacher’s examples, and check the calculator preview before you check out.
Will it work on my calculator?
It works on the TI-84 Plus CE and the TI-84 Plus CE Python. It doesn’t work on the TI-84 Evo or on black-and-white TI-84s. If your calculator is on OS 5.5 or newer, it needs a free one-time setup first. The setup guide walks you through it.
Will the notes disappear if my calculator resets?
No. The notes are stored in Archive, so a RAM clear won’t erase them. On OS 5.5 or newer, open AsmHook2 from the APPS menu once after a RAM clear, then open your notes as usual.
More subject sheets: AP Chemistry, Chemistry, AP Calculus AB, AP Statistics, Precalculus, Unit circle and trig identities, Algebra 2. Or see all formula notes, every way to put notes on a TI-84, and what CiNotes is.