The exam at a glance
| Section | Weight | Timing | What you do |
|---|---|---|---|
| I · Multiple choice | 50% | 1 hr 25 min · 42 questions | Single questions and short sets built around a stimulus such as a diagram, graph or data table. Calculator allowed. |
| II · Free response | 50% | 1 hr 35 min · 4 questions | Four question types: Mathematical Routines, Translation Between Representations, Experimental Design and Analysis, and Qualitative/Quantitative Translation. |
Click in Bluebook, write on paper
You answer multiple-choice questions and read the free-response questions in the Bluebook app, then handwrite free-response answers in a paper booklet.
Equation sheet + calculator
A table of equations and constants is provided, and a calculator is allowed throughout. Knowing when an equation applies, and its conditions, matters more than memorizing it.
The multiple-choice section
42 questions in 85 minutes gives you about 2 minutes per question. Many questions test reasoning with symbols and graphs rather than plugging in numbers. Wrong answers lose no points.
Strategies that work
- Draw a diagram for every question: forces, fields, circuits or rays. It prevents sign errors.
- Check limiting cases. What happens if a mass is zero or an angle is 90°? Wrong choices often fail this test.
- Use units to eliminate answer choices with the wrong dimensions.
- Read graphs as relationships: slope and area under the curve both have physical meaning.
- Work symbolically first, then plug in numbers only if needed.
- Flag and move on after 3 minutes. Return once the quick points are banked.
The 7 units, in plain English
Kinematics
Describing motion with calculus.
Be ready to: Differentiate and integrate position, velocity and acceleration; handle non-constant acceleration; analyze 2D and projectile motion; use relative velocity.
Force & Translational Dynamics
Newton's laws, including drag.
Be ready to: Apply Newton's laws to systems; handle velocity-dependent drag with differential equations; analyze circular motion and gravitation; find the center of mass.
Work, Energy & Power
Energy as an integral.
Be ready to: Calculate work as ∫F·dx; relate force and potential energy (F = −dU/dx); use conservation of energy; calculate power as dW/dt.
Linear Momentum
Impulse, collisions and the center of mass.
Be ready to: Use impulse as ∫F dt; apply conservation of momentum in collisions and explosions; track center-of-mass motion.
Torque & Rotational Dynamics
How things turn.
Be ready to: Calculate rotational inertia by integration and the parallel-axis theorem; apply Στ = Iα; analyze static equilibrium.
Energy & Momentum of Rotating Systems
Rolling, spinning and orbits.
Be ready to: Use rotational kinetic energy and rolling without slipping; apply conservation of angular momentum; analyze orbits.
Oscillations
Simple harmonic motion.
Be ready to: Derive and solve the SHM differential equation; find periods for springs and physical pendulums; track energy in oscillators.
Forces and energy carry the most weight, but rotation (Units 5–6) together is as large as either. Calculus is expected throughout, ideally from AP Calculus taken before or alongside this course.
The 4 free-response questions
95 minutes, 4 questions. The four question types are the same every year, so you can practice each on purpose. Mathematical Routines and lab questions are typically worth the most points.
Mathematical Routines
Use equations and principles to derive expressions and calculate quantities, often starting symbolically.
Start from a fundamental equation and show each substitution.
Translation Between Representations
Draw a free-body diagram, energy bar chart or graph, then write equations that are consistent with it.
Arrows on free-body diagrams start on the object and are labeled.
Experimental Design and Analysis
Design a procedure, choose what to graph to get a straight line (linearize), then use the slope to find a quantity.
Linearize: graph the quantities that make y = mx a straight line.
Qualitative/Quantitative Translation
Explain a situation in words with physics reasoning, then derive an equation that agrees with your explanation.
Make sure your words and your equation predict the same trend.
Time plan: About 25 minutes for MR, 22 for TBR, 25 for LAB and 23 for QQT. Points are given for derivations: "plugging in" without a starting equation often loses credit.
Habits that earn points
- Answer every lettered part, in order, with a label.
- Show the equation, the substitution and the units.
- Justify with a cause → effect sentence, not a word.
- Use the reference sheet; you don't need to memorize it.
- Blank part? Write the relationship you would use. It can earn credit.
10 traps that cost points
Constant-acceleration equations everywhere
If acceleration changes with time or position, integrate instead of using the kinematic equations.
Missing the chain rule
For a(x), use a = v dv/dx. Many students get stuck trying to integrate with respect to time.
Wrong axis for I
Rotational inertia depends on the axis. Use the parallel-axis theorem: I = I(cm) + Md².
Sign of potential energy
F = −dU/dx. Forces point "downhill" on a U(x) graph.
Rolling friction does work
In rolling without slipping, static friction does no work on the object.
Angular momentum of a point
A particle moving in a straight line can have angular momentum about a point: L = r × p.
Centripetal force on diagrams
Never draw "Fc". A real force (tension, gravity, normal) provides it.
Forgetting limits of integration
Use definite integrals with physical limits, or solve for the constant with an initial condition.
Physical pendulum period
T = 2π√(I/(mgd)), where d is the distance from the pivot to the center of mass.
Plugging in too early
Derive symbolically first. Many questions ask for answers "in terms of" given quantities.
A study roadmap to May
A steady plan beats a last-minute rush. Shift the months to match your teacher's pacing.
- Sep – Oct
Units 1–2: motion and forces
Calculus-based kinematics, Newton's laws, drag and circular motion. Practice setting up differential equations.
- Nov – Dec
Units 3–4: conservation
Work integrals, potential energy curves, momentum and center of mass. Start one free-response question per week.
- Jan – Feb
Units 5–6: rotation
Rotational inertia by integration, torque, rolling and angular momentum.
- Mar – Apr
Unit 7 and timed practice
SHM, physical pendulums and energy. Begin full timed sections in April.
- Early May
Free-response drills
All four question types under timing, with a focus on derivations.
- May 2027
Exam day
Monday, May 3, 2027 (morning session). Sleep well and confirm your start time with your AP coordinator.
3 practice questions
Original questions written by ACT SAT GO in the style of the exam. The free PDF has 10, with full explanations.
- Unit 1 · Variable acceleration
A particle starts at x = 0 with velocity 2 m/s, and its acceleration is a = 6t (m/s²). What is its position at t = 2 s?
- A 8 m
- B 10 m
- C 12 m
- D 16 m
Show answer
Answer: C · 12 m. v = ∫6t dt = 3t² + 2, so x = ∫v dt = t³ + 2t. At t = 2: 8 + 4 = 12 m. Using x = ½at² is wrong because a isn't constant.
- Unit 3 · Potential energy
A particle's potential energy is U(x) = 2x³ − 6x (J). At x = 2 m, the force on it is:
- A 18 N in the −x direction
- B 18 N in the +x direction
- C 4 N in the −x direction
- D 0 N
Show answer
Answer: A. F = −dU/dx = −(6x² − 6) = −(24 − 6) = −18 N, so 18 N in the −x direction.
- Unit 6 · Rolling
A solid sphere (I = ⅖MR²) rolls without slipping from rest down a ramp, dropping 1.4 m vertically. What is its speed at the bottom?
- A 3.7 m/s
- B 4.4 m/s
- C 5.2 m/s
- D 6.2 m/s
Show answer
Answer: B · 4.4 m/s. mgh = ½mv² + ½(⅖mR²)(v/R)² = 0.7mv², so v = √(gh/0.7) = √19.6 ≈ 4.4 m/s.
How students score
Ranges reflect recent College Board score distributions and shift a little each year. Credit and placement policies vary by college.
Aiming for a 5 in AP Physics C: Mechanics?
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