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Course Level

AP Level (Calculus-Based)

Total Duration

50 Hours

Format

Online 1-on-1

Prerequisites

Calculus AB or concurrent enrollment

Course Overview

Our AP Physics C: Mechanics course represents the gold standard of high school mechanics education, providing a rigorous, calculus-based treatment of classical mechanics. This course is designed for students who want to experience physics at the college level and develop the mathematical sophistication required for advanced STEM fields.

AP Physics C: Mechanics is equivalent to a semester-long, calculus-based college mechanics course. Unlike algebra-based physics courses, this program integrates calculus throughout, using derivatives to describe motion and integrals to solve energy and momentum problems. Students will develop both conceptual understanding and advanced mathematical problem-solving skills essential for engineering and physics majors.

Calculus Integration

This course requires calculus! You'll use derivatives to analyze motion, integrals to calculate work and impulse, and differential equations to solve complex mechanics problems. Concurrent enrollment in AP Calculus AB or prior completion is essential.

Essential Prerequisites

Mathematics: AP Calculus AB (concurrent enrollment acceptable) or equivalent

Physics Background: Strong algebra-based physics foundation recommended (AP Physics 1 or equivalent)

Mathematical Skills: Comfort with derivatives, integrals, and basic differential equations

AP Exam Information

Exam Date: May 2026 | Duration: 90 minutes | Format: Multiple Choice (45 min) + Free Response (45 min)

The exam emphasizes mathematical reasoning, with heavy use of calculus in problem-solving. Free response questions often require setting up and solving differential equations.

What Makes Our Course Special

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Recorded Sessions

Access to all live session recordings for review and reinforcement at your own pace

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WhatsApp Support

24/7 support for quick questions and clarifications outside of scheduled sessions

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Proctored Tests

Regular assessments under exam conditions to track progress and build exam confidence

Calculus Integration

Seamless integration of calculus concepts with physics, building mathematical sophistication

Ready to start your AP Physics C: Mechanics preparation?

Book a Free Trial Lesson

What You'll Learn

  • Master calculus-based approach to all fundamental mechanics concepts
  • Develop advanced mathematical problem-solving skills using derivatives and integrals
  • Learn to set up and solve differential equations for physics problems
  • Understand the mathematical foundations underlying physical laws
  • Build skills essential for engineering and physics coursework
  • Practice rigorous mathematical reasoning and proof techniques
  • Develop intuition for when and how to apply calculus to physical problems
  • Master advanced exam strategies for calculus-based physics problems

Detailed Course Curriculum

  • Unit 1: Kinematics 8 hours

    Calculus-based treatment of motion in one and multiple dimensions.

    • Position, velocity, and acceleration as vector functions
    • Using derivatives to find velocity and acceleration from position
    • Integration to find position and velocity functions
    • Parametric equations for projectile motion
    • Calculus approach to circular motion and centripetal acceleration
  • Unit 2: Newton's Laws of Motion 8 hours

    Force analysis with calculus, including variable forces and differential equations.

    • Newton's laws with calculus-based mathematical treatment
    • Variable forces and F = ma as a differential equation
    • Motion with air resistance and terminal velocity
    • Spring forces and simple harmonic motion differential equations
    • Advanced applications of Newton's laws using calculus
  • Unit 3: Work, Energy, and Power 9 hours

    Energy concepts with integral calculus and advanced applications.

    • Work as line integral for variable forces
    • Kinetic energy theorem with calculus derivation
    • Potential energy functions and conservative forces
    • Energy conservation in complex systems
    • Power as derivative of work, variable power applications
  • Unit 4: Systems of Particles and Linear Momentum 8 hours

    Center of mass, momentum, and collisions with calculus-based analysis.

    • Center of mass calculations using integration
    • Linear momentum and impulse-momentum theorem
    • Conservation of momentum in complex systems
    • Variable mass systems and rocket motion
    • Advanced collision analysis with calculus
  • Unit 5: Rotation 10 hours

    Comprehensive treatment of rotational motion using calculus.

    • Angular kinematics with calculus approach
    • Moment of inertia calculations using integration
    • Rotational dynamics and Newton's second law for rotation
    • Rolling motion without slipping
    • Angular momentum and its conservation
  • Unit 6: Oscillations 8 hours

    Simple harmonic motion through differential equations and calculus.

    • Simple harmonic motion differential equation
    • Solutions to SHM equation using calculus
    • Energy in oscillatory systems
    • Damped and driven oscillations
    • Advanced applications of oscillatory motion
  • Unit 7: Gravitation 4 hours

    Universal gravitation with calculus-based approach to orbital mechanics.

    • Newton's law of universal gravitation
    • Gravitational potential energy using integration
    • Orbital mechanics and Kepler's laws
    • Escape velocity and gravitational binding energy
    • Advanced gravitational field calculations

1-on-1 Tutoring

$2,750

Fully personalised pace, every problem worked through together, flexible scheduling

Payment Options: Full payment or 3 installments of $917

Includes: All sessions, recorded materials, practice tests, WhatsApp support, and exam prep resources

Enrol in 1-on-1

Small Group Cohort (3–5 students)

$1,400per student

Same curriculum, fixed weekly schedule, peer-learning environment, individual support via WhatsApp

Payment Options: Full payment or 2 installments of $700

Includes: All sessions, recorded materials, practice tests, WhatsApp support, and exam prep resources

Cohorts start when 3 students have enrolled for the same subject. Enquire for next cohort start date.

Enquire about Group

Who This Is For

AP Physics C: Mechanics is a calculus-based course designed for students with strong mathematical backgrounds. This tutoring programme suits students who are concurrently taking AP Calculus BC or have already covered single-variable calculus. It's ideal for those aiming for top scores on the AP exam, or preparing for rigorous engineering or physics programmes at university.

AP Calculus is essential for AP Physics C — if you need Calculus support alongside this course, see our AP Calculus BC tutoring. Also available: AP Physics C: Electricity & Magnetism tutoring.

Ready to Master Calculus-Based Mechanics?

AP Physics C: Mechanics represents one of the most rigorous and rewarding courses available at the high school level. This course will not only prepare you for the AP exam but also provide you with the mathematical sophistication and problem-solving skills essential for success in engineering, physics, and other quantitative fields.

Students who complete this course often find their college physics and engineering courses much more manageable, having already developed comfort with the mathematical tools and reasoning patterns used in advanced STEM education. The combination of deep conceptual understanding and mathematical rigor makes this course invaluable preparation for technical careers.

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Frequently Asked Questions — AP Physics C: Mechanics Tutoring

Do I need to know calculus before starting AP Physics C: Mechanics?

Yes, calculus is essential for AP Physics C: Mechanics. Students should be concurrently enrolled in or have completed AP Calculus AB or BC. Derivatives and integrals are used throughout the course to model motion, forces, and energy. If you need calculus support alongside physics, this can be incorporated into tutoring sessions.

How are online AP Physics C: Mechanics lessons conducted?

Lessons take place via video call with an interactive digital whiteboard, allowing complex calculus-based derivations and problem-solving to be worked through in real time. All sessions are recorded for review, and WhatsApp support is available between sessions for follow-up questions.

How is AP Physics C: Mechanics different from AP Physics 1?

AP Physics C: Mechanics is calculus-based and goes significantly deeper into the mathematics of mechanics than AP Physics 1, which is algebra-based. AP Physics C covers the same core topics — kinematics, Newton's laws, energy, momentum, and rotation — but uses derivatives, integrals, and differential equations to model physical systems with greater precision and rigour.

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