Tian2
The Tian2 Study Library AP Edition · Tian2 Editorial Bureau
Volume I · MMXXVI AP Physics C: Mechanics
Library› AP Physics C: Mechanics› Unit 1: Kinematics
⁂   AP Physics C: Mechanics · Unit 1

1. Kinematics

10–15% of the AP exam. 7 key topics. 4 common errors analyzed.

10–15% exam weight

Unit 1: Kinematics

Unit 1 (Kinematics) is part of the calculus-based AP Physics C: Mechanics curriculum. Variable-force problems and differential equations require calculus setup; show your integral expression before evaluating.

Key topics in this unit

  1. Scalars and vectors; displacement, velocity, acceleration
  2. Representing motion: position-time, velocity-time, and acceleration-time graphs
  3. Reference frames and relative motion
  4. Motion in two or three dimensions: projectile motion, circular motion
  5. Derivatives of position functions: v(t) = dx/dt, a(t) = dv/dt
  6. Integration for displacement: x = x₀ + ∫v dt
  7. Non-constant acceleration problems requiring calculus methods

Common errors — what the rubric penalizes

These are the most frequently penalized mistakes on AP exam FRQs and MCQs. Review each before your next practice session.

Common error

Applying constant-acceleration (SUVAT) formulas to problems with variable acceleration, where integration is required instead

Common error

Omitting the constant of integration (initial condition) when integrating v(t) to recover x(t), producing a position function without a definite reference point

Common error

Sign inconsistency when switching between vector components in 2D problems — choosing a positive direction for one axis but failing to carry it through the full solution

Common error

Conflating average velocity (Δx/Δt) with instantaneous velocity (dx/dt) when interpreting graphs or verbal problem descriptions

Study checklist

  • Can you list all key topics from memory without this page?
  • Have you worked through at least one FRQ-style question per topic?
  • Can you explain each common error above — and why the correct answer differs?
  • Have you reviewed the relevant College Board CED section and formula sheet entries?
Force and Translational Dynamics →
← Back to AP Physics C: Mechanics
Our worked solutions and practice questions are original instructional content created by Tian2 AP. They are aligned to the concepts and skills described in College Board’s Course and Exam Description and are not reproductions of, or affiliated with, College Board’s official materials.