Course details

Explore comprehensive course materials and learning objectives designed for your growth.

Course details

AP Physics C — Mechanics Intensive

Fall 2026 · Americas

AP Physics C — Mechanics Intensive

About the course

AP Physics C is the first course where the calculus is not decoration. In AP Physics 1 you memorise that the area under a velocity-time graph is displacement. Here you write down the integral, and the moment that swap becomes natural is the moment the whole subject gets simpler rather than harder.

Sixteen students. Two live sessions a week for fifteen weeks. Everything derived on the board, nothing quoted.

How a session runs

  1. Ten minutes: a problem from last session, solved at the board by a student, questioned by the rest

  2. Thirty-five minutes: new material, derived rather than stated, with the calculus written out in full

  3. Twenty minutes: guided problem solving, everyone working simultaneously with cameras on the page rather than the face

  4. Fifteen minutes: one hard problem, attempted cold, discussed afterwards whether or not anyone got it

The board rule

Every student presents at least four times over the fifteen weeks. Not a polished solution — a live attempt, with the cohort allowed to interrupt. It is the most uncomfortable feature of this batch and it is not negotiable, because being able to defend a derivation is a completely different skill from being able to produce one alone.

Why sixteen

Because at sixteen I can see every page, every session, and I know within a week which of you is quietly lost. At thirty I cannot, and the students who need noticing are precisely the ones who will not say so.

What is included

  • Thirty live sessions of ninety minutes, recorded and posted within two hours

  • A weekly problem set of eight to twelve problems, hand-marked by me with written comments

  • Four timed section tests in AP format

  • Two full mock exams under exam conditions, in December

  • A derivation notebook — every result in the course, derived, as a single reference document

  • Fortnightly fifteen-minute one-to-one calls

Payment

Payable in four monthly instalments at no extra cost, running from enrolment through to December. The full amount can also be paid at once; there is no discount for doing so, and no penalty for not.


Enrolment closes 5 September, three days before the first session. Sixteen seats, and this cohort has filled before the deadline in each of the last two runs.

In this course you will be able to

Set up and solve the differential equation of motion for a drag problem rather than quoting the result
Derive rotational inertia for a continuous body by integration, for any of the standard shapes and several non-standard ones
Move fluently between force, energy and momentum formulations and justify the choice
Read equilibrium points and stability directly off a potential energy curve
Handle rolling, slipping and the transition between them without guessing at the friction direction
Complete the AP Physics C Mechanics free-response section in forty-five minutes at full accuracy
Present a full derivation on the board to your cohort and defend each step under questioning

Prerequisite

Calculus AB concurrent or complete — differentiation and integration are used from week one and are not taught here
AP Physics 1 or an equivalent algebra-based mechanics course already finished
Sitting the AP Physics C: Mechanics exam in May 2027, or taking the university course
Available live at 5:00 PM Mountain Time on Tuesdays and Thursdays, or able to watch the recording within 48 hours
Eight to ten hours a week for fifteen weeks, class time included
Paper and pen — every derivation in this cohort is done by hand, on camera, in real time

Topics covered

Calculus as the language of mechanics: derivatives as rates, integrals as accumulationsKinematics with non-constant acceleration, solved by integrationMotion with velocity-dependent drag, and the terminal velocity limitNewton's laws in differential form and separable equations of motionWork as a line integral, and variable forcesPotential energy functions, force as the negative gradient, and reading equilibrium off a curveCentre of mass by integration for continuous bodiesMomentum, impulse as an integral, and variable-mass systemsRotational inertia derived by integration for standard bodiesThe parallel axis theorem and composite bodiesRolling motion, rolling without slipping, and the energy splitAngular momentum, torque as its derivative, and conservationGyroscopic precession at introductory depthGravitation, gravitational potential energy and orbital mechanicsSimple harmonic motion from the differential equation rather than by analogyPhysical pendulums and damped oscillation
Kestrel logo Kestrel

Kestrel is an online school based in Denver, Colorado, teaching students across the United States and in more than thirty countries. We run small live sections and self-paced courses in AP and honors subjects, SAT and ACT preparation, college application writing, and academic English for international applicants. Live sections cap at sixteen students, every course is taught by a licensed teacher or a subject specialist rather than a rotating pool of tutors, and every recording, transcript and worked solution stays in your library for a full year. Sections run in three time zone bands, so a student in Seoul or Sao Paulo is never asked to sit a calculus class at three in the morning.

Quick Links

Get in touch

© 2026 Kestrel. All rights reserved.