AP Physics C: Mechanics 1-Month Study Plan

title: "AP Physics C: Mechanics 1-Month Study Plan" description: "A structured 4-week study plan for AP Physics C: Mechanics, with weekly themes, daily practice targets, and full mock exams in weeks 3 and 4." date: "2026-01-15" examDate: "May AP Exam" topics:

• 4-Week Schedule
• Weekly Themes
• Progressive Practice
• Mock Exams

You have four weeks until the AP Physics C: Mechanics exam. This plan spreads learning across four weeks, each with a clear theme: Week 1 covers foundations (kinematics and dynamics), Week 2 tackles energy and momentum, Week 3 introduces rotation and oscillations with a mock exam, and Week 4 refines gravitation, FRQ technique, and final review.

Commit 1–1.5 hours per day, 6 days a week, with one rest day.

Week 1: Kinematics and Dynamics Foundations

Theme: Build comfort with calculus and free body diagrams.

| Day | Topic | Daily Target | |---|---|---| | Mon | $v = dx/dt$, $a = dv/dt$, constant-$a$ equations | Read 2 worked examples; solve 10 MCQs on kinematics | | Tue | Integration: $a(t) \\to v(t) \\to x(t)$ | Solve 3 kinematics problems requiring integration; sketch 5 $x(t)$, $v(t)$, $a(t)$ graphs | | Wed | Projectile motion (2D kinematics) | Solve 2 full projectile problems (separate $x$ and $y$); 12 MCQs | | Thu | Free body diagrams and components | Draw FBDs for 5 scenarios (incline, tension, friction); identify $\\Sigma F_x$, $\\Sigma F_y$ | | Fri | Newton's second law: $\\Sigma F = ma$ in components | Solve 4 dynamics problems (at least one with friction); 15 MCQs | | Sat | Week 1 review + problem set | Mixed 20 MCQs (kinematics + dynamics); solve 1 FRQ combining both | | Sun | Rest / light review | Skim formulas; do not solve new problems |

Week 1 Takeaway: You must set up and integrate $a(t)$ automatically. You must draw an FBD before writing a dynamics equation. If you can do both, you've cracked 40% of the exam.

Week 2: Energy, Momentum, and Work

Theme: Master the two great conservation laws.

| Day | Topic | Daily Target | |---|---|---| | Mon | Work: $W = F \\cos\\theta \\cdot d$ and $W = \\int F \\, dx$ | Solve 3 work problems (constant and variable force); compute work from graphs | | Tue | Kinetic energy, potential energy, conservative forces | Solve 4 energy problems; derive $F = -dU/dx$ from two examples | | Wed | Energy conservation and mechanical energy | Solve 2 energy conservation problems (one with friction, one without); 14 MCQs | | Thu | Linear momentum, impulse, $J = \\Delta p$ | Solve 3 impulse-momentum problems; compute impulse from force-time graphs | | Fri | Collisions: elastic and inelastic, momentum conservation | Solve 2 collision problems (elastic and inelastic); 15 MCQs on momentum | | Sat | Week 2 review + FRQs | Mixed 20 MCQs (energy + momentum); solve 2 FRQs (one energy, one collision) | | Sun | Rest / light review | Skim conservation laws; review one worked example per law |

Week 2 Takeaway: Every energy or momentum problem starts with "Is mechanical energy conserved? Is momentum conserved?" If yes, set up $E_i = E_f$ or $p_i = p_f$. If no, explain why (non-conservative forces, external impulse).

Week 3: Rotation, Oscillations, and Mock Exam #1

Theme: Master rotational dynamics and SHM; take a full practice exam.

| Day | Topic | Daily Target | |---|---|---| | Mon | Moment of inertia: definition and standard values | Derive or memorize $I$ for 4 shapes (rod, disk, sphere, hoop); solve 2 problems | | Tue | Parallel-axis theorem; applying $\\tau = I\\alpha$ | Solve 3 torque problems; compute $I$ about different axes | | Wed | Angular momentum $L = I\\omega$, conservation | Solve 2 angular momentum conservation problems; 12 MCQs on rotation | | Thu | Simple harmonic motion: $\\ddot{x} + \\omega^2 x = 0$, period $T = 2\\pi\\sqrt{m/k}$ | Solve 3 SHM problems (springs, pendulums); energy in SHM | | Fri | Rolling without slipping; rotational + translational KE | Solve 2 rolling problems (find speed using energy conservation) | | Sat | Mock Exam #1 (full-length, timed) | 35 MCQs (45 min) + 3 FRQs (45 min). Score and review. | | Sun | Review mock, rest | Analyze weak spots; review one FRQ solution |

Week 3 Takeaway: Rotation is not separate physics — it's the same $F = ma$ rotated. Think $\\Sigma \\tau = I\\alpha$ as the rotational version of $\\Sigma F = ma$. Parallel-axis theorem is tricky; practice one derivation carefully.

Week 4: Gravitation, FRQ Mastery, and Final Review

Theme: Finish gravitation, refine FRQ technique, take a second mock, then rest.

| Day | Topic | Daily Target | |---|---|---| | Mon | Newton's law of gravitation $F = GMm/r^2$, potential energy $U = -GMm/r$ | Solve 3 gravitation problems; understand why $U$ is negative | | Tue | Escape velocity $v_{esc} = \\sqrt{2GM/R}$, orbital speed $v = \\sqrt{GM/r}$ | Solve 2 orbital problems; derive orbit speed from centripetal acceleration | | Wed | Kepler's third law $T^2 \\propto a^3$, satellite motion | Solve 3 problems on satellites and orbits; 14 MCQs on gravitation | | Thu | FRQ technique: setting up integrals, citing conservation, drawing FBDs | Solve 2–3 FRQ-style problems; focus on clear notation and complete steps | | Fri | Mock Exam #2 (full-length, timed) | 35 MCQs (45 min) + 3 FRQs (45 min). Compare with Mock #1. | | Sat | Review Mock #2, identify weak points | Rework one FRQ from each weak unit; do not learn new material | | Sun | Rest and review last-minute checklist | Sleep 8+ hours. Do not cram. |

Week 4 Takeaway: By now, your strength on FRQs is writing the integral or differentiation first, then evaluating. Your weakness is likely forgetting to state conservation conditions or missing a sign. Fix these before the exam.

Weekly Review Checklist

After each week (especially after mocks), ask yourself:

• Can I derive or recall all standard moments of inertia ($I = \\frac{1}{12}ML^2$, $I = \\frac{1}{2}MR^2$, etc.)?
• Can I set up and solve an integral for work, impulse, or moment of inertia from first principles?
• Can I draw an FBD and resolve forces into components without hesitation?
• Can I apply conservation of energy and momentum and explain why they apply?
• Do I know Kepler's third law and escape velocity well enough to explain them in 30 seconds?

If the answer to any is "no," spend 1 hour on that topic during the next week's rest day.

Practice Resource Strategy

• Weeks 1–2: Mostly MCQs and single-topic problems (low FRQ ratio).
• Week 3: Mix MCQs with more FRQ-style problems; take a full mock.
• Week 4: FRQ-heavy review; take a second mock; focus on weak points.

Score targets by week (rough guidance)

• After Week 1: You should pass a quiz on kinematics + dynamics (~50–60% on a timed set).
• After Week 2: You should pass a quiz on energy + momentum (~50–60%).
• After Week 3 mock: You should score ~50–55% raw (equivalent to a 4–5 on the actual exam).
• After Week 4: You should score ~55–60% raw on the final mock (equivalent to a solid 5).

Remember: Physics C is curved generously. A raw score of 50% is often a 5. Do not panic if you're not at 80%.

Ready to start Week 1? Jump to Kinematics → and begin Monday.