AP Physics C: Mechanics Practice Test
Build your confidence for AP Physics C: Mechanics. Practice the concepts, understand the answers, and strengthen your knowledge one question at a time.
Try a sample questionExam overview and details
The AP Physics C: Mechanics exam is a college-level assessment that evaluates a student's mastery of calculus-based mechanics. Administered by the College Board, it is designed to be equivalent to a one-semester introductory calculus-based physics course typically taken by science and engineering majors. The exam rigorously tests understanding of core principles such as kinematics, Newton's laws of motion, work, energy, power, linear and angular momentum, oscillations, and gravitation, all through the lens of differential and integral calculus. It consists of 35 multiple-choice questions (45 minutes) and 3 free-response questions (45 minutes), totaling 39 scored items. This exam is intended for students with a strong foundation in both physics and calculus who are pursuing STEM fields. Success on the exam demonstrates the ability to model physical systems mathematically, solve complex problems, and apply fundamental theories to analyze motion and forces, potentially earning college credit and placement.
Sample Questions
Choose an answer and explore the explanation to see how practice works.
In a ski-slope timing trial, the horizontal velocity of a cart is modeled for 0 <= t <= 5 s by v_x(t) = 2t^2 - 5t + 6, with SI units. The timer starts late, so the teacher asks for the displacement during the interval from t = 3 s to t = 5 s rather than the whole run. Which calculation gives that displacement?
A uniform beam is pinned at a wall and held horizontal by a cable attached at the far end. A box is hung halfway along the beam. Which torque choice simplifies solving for the cable tension?
A potential energy model for a bead is U(x) = 3x^3 - 45x joules. At a point where the bead is moving in the +x direction, which expression gives the force?
Two lab groups analyze the same one-dimensional motion where a(t) changes sign once during the run. Group A says the object must reverse direction when acceleration is zero; Group B says reversal requires velocity to pass through zero. Which conclusion is best?
In a drone tracking run, students estimate instantaneous velocity at t = 3 s from a table of x(t). The table has reliable readings at t = 2 s, 3 s, and 4 s, but the middle point has visible rounding. Which method best matches AP Physics C reasoning?
Exam insights and study advice
The principles tested in AP Physics C: Mechanics form the foundational language of engineering and physical science. Mastery of this material is not merely academic; it is directly applicable to designing safer vehicles, planning spacecraft trajectories, developing robotics, analyzing structural integrity, and optimizing mechanical systems. The problem-solving framework-translating a physical scenario into a mathematical model, solving it, and interpreting the results-is a critical skill used by engineers, researchers, and analysts daily. This exam validates a student's readiness to contribute to technological innovation and solve real-world problems involving motion, force, and energy.
What this exam covers
Use the published domain weights to plan your study. Practice results do not predict your certification exam score.
01Newton's Laws of Motion
Newton's Laws of Motion comprise 22.5 percent of the exam content, deeply emphasizing force vectors, dynamic equilibrium, and the complex mechanical interactions between physical bodies currently in motion.
02Work, Energy, and Power
Work, Energy, and Power represent 20.0 percent of the overall examination, centering heavily on conservation laws, mechanical energy transfers, and the specific work-energy theorem calculations required by the board.
03Systems of Particles and Linear Momentum
Systems of Particles and Linear Momentum make up 15.0 percent of the exam, focusing on collision theory, center of mass computations, and linear momentum conservation principles across various scenarios.
04Kinematics
This specific domain covers kinematics in detail, accounting for 12.5 percent of the overall exam weight, while focusing specifically on motion descriptions, positional variables, and calculus applications.
05Oscillations
Oscillations account for 12.5 percent of the exam, concentrating intensely on periodic motion, physical pendulums, simple harmonic motion, and complex spring-mass system behaviors evaluated during the assessment.
06Gravitation
Gravitation addresses complex celestial mechanics and universal gravitational force laws operating between point masses and spherical bodies throughout space and orbiting satellites according to official course guidelines outlined by the board.
07Rotation
Rotation covers advanced angular kinematics and rotational dynamics as part of the physics curriculum, dealing extensively with fixed axis rotation, rotational inertia, torque, and the conservation of angular momentum principles during testing.