AP Physics C: Mechanics practice test: free questions, format and 2027 date

Each daily paper has 8 original questions worth 25 to 35 marks, and no single one covers the whole course. The AP Physics C: Mechanics paper covers kinematics, Newton's laws, friction, inclines, pulleys, torque in equilibrium and motion with calculus. For energy and momentum, use the AP Physics 1 paper. For circular motion, orbits and simple harmonic motion, use the AP Physics 2 paper, and skip its electricity questions.

AP Physics C: Mechanics exam format for 2027

It is a hybrid digital exam: multiple choice in the Bluebook app, free-response answers handwritten in a paper booklet. The four free-response questions are one each of mathematical routines, translation between representations, experimental design and analysis, and qualitative/quantitative translation. You can use a four-function, scientific or graphing calculator on both sections, Bluebook has a built-in Desmos calculator, and College Board provides equation sheets.

AP Physics C: Mechanics units

The units match AP Physics 1 by name, but here you use calculus throughout, and College Board recommends taking calculus before or alongside the course. Forces are the biggest unit at up to 25%. Practice each with the SUVAT, Force, Work and Power, Momentum, Moments, Circular Motion and Pendulum and SHM tools.

Newton's second law sits under most of the course. Check yours with this question from our Laws of Motion course, then press Mark.

AP Physics C: Mechanics practice test questions with answers

We wrote these for this page. Each uses the calculus that sets Physics C apart from Physics 1. Use g = 9.8 m/s².

1. Kinematics with calculus

Question: A particle moves along a line with velocity v(t) = 3t² − 4t, in m/s. Find its acceleration at t = 2 s, its displacement from t = 0 to t = 2 s, and the distance it travels in that time.

Acceleration is the derivative: a = 6t − 4, so a(2) = 8 m/s². Displacement is the integral of velocity:

The displacement is 0, but the particle did move. Velocity is zero at t = 4/3 s, negative before and positive after. It goes back 32/27 ≈ 1.19 m, then forward the same amount, so the distance is about 2.37 m. Whenever velocity changes sign, split the integral there.

2. Work done by a variable force

Question: A force F(x) = 5x², in newtons, pushes an object along the x-axis from x = 0 to x = 3 m. How much work does it do?

The work is 45 J, the area under the force-position graph. Multiplying the final force, 45 N, by 3 m gives 135 J, which only works for a constant force. By the work-energy theorem, the object gains 45 J of kinetic energy if this is the only force. The Integral Calculator checks integrals like this.

3. Rolling down a ramp

Question: A solid sphere (I = 2/5 mr²) rolls from rest without slipping down a ramp, dropping a height of 1.4 m. How fast is it moving at the bottom?

The potential energy becomes both translational and rotational kinetic energy. Rolling without slipping means ω = v/r, so the rotational part is ½(2/5 mr²)(v/r)² = (1/5)mv².

The sphere reaches 4.43 m/s, slower than the 5.24 m/s of a block sliding down without friction, because some energy goes into spinning. Mass and radius cancel, so every solid sphere arrives at the same speed.

Scores, date and deadlines

In 2026, 20% of AP Physics C: Mechanics students scored 5, 25% scored 4, 27% scored 3, 17% scored 2 and 11% scored 1, so 72% scored 3 or higher. College Board calls a 5 extremely well qualified, a 4 very well qualified and a 3 qualified, and each college decides which scores earn credit.

• Exam: Monday, May 3, 2027, in the morning session. In the lower 48 states, Hawaii and Washington, D.C., that starts at 8 a.m. local time.
• Ordering deadline: November 13, 2026, through your school's AP coordinator. Your school may set an earlier date.
• Fee: $99 in the US, US territories and Canada, $129 elsewhere, plus $40 for exams ordered from November 14 to March 12.
• Scores: released in July 2027.

Use the daily papers as short timed practice tests

1. Open today's AP Physics C: Mechanics paper and work to the suggested time, 40 to 45 minutes.
2. Start every forces question with a free-body diagram, and every variable-acceleration question by writing which quantity you differentiate or integrate.
3. Mark it with the mark scheme and note the AP unit behind each lost mark.
4. On other days, use the AP Physics 1 and AP Physics 2 papers for the energy, momentum, rotation and oscillation topics.

Common mistakes

• Using constant-acceleration equations when acceleration depends on time or position: integrate instead.
• Confusing displacement and distance when velocity changes sign.
• Multiplying force by distance for a force that varies: work is the integral.
• Forgetting rotational kinetic energy for anything that rolls.
• Dropping the constant of integration when finding position from velocity: use the initial conditions to find it.

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United States · APAP Physics 1 Practice Test: Free Questions and 2027 GuideFree AP Physics 1 practice test questions with worked answers, plus the 2027 exam format, units, date and scores, and a short timed practice paper daily.