Practice to Mastery

Master calculus-based mechanics one unit at a time, with 925 original practice questions and a detailed, fully worked solution for every one of them.

Practice to Mastery: AP® Physics C: Mechanics Workbook is built for students taking AP Physics C: Mechanics or a first calculus-based college course in mechanics. It follows the seven units of the course framework in the order they are taught, so you can work alongside your class from the first week of kinematics to the last week of oscillations.

What's inside:

925 questions in total: 879 across the seven units (837 multiple choice and 42 free response) plus a 46-question full-length practice exam.

All seven units: Kinematics; Force and Translational Dynamics; Work, Energy, and Power; Linear Momentum; Torque and Rotational Dynamics; Energy and Momentum of Rotating Systems; and Oscillations.

Multiple-choice questions arranged from Easy to Medium to Hard, with every question tagged so you can see exactly where your understanding breaks down.

Shared-stimulus question sets built on a single graph, data table, or diagram, just as on the exam.

Six free-response questions in every unit, covering all four exam question types: Mathematical Routines, Translation Between Representations, Experimental Design and Analysis, and Qualitative/Quantitative Translation.

Point-by-point scoring guides for every free-response question, with scoring notes, acceptable alternative answers, reasonable numerical ranges, and an example response.

A full-length practice exam at the end, timed and weighted like the real test: 42 multiple-choice questions in 85 minutes and 4 free-response questions in 95 minutes, with answers, explanations, scoring guides, and a guide to estimating your score.

Real calculus, not algebra in disguise. This book treats Physics C as the calculus-based course it is. You will integrate forces that change with time or position, build centers of mass and rotational inertias from mass elements, recover velocity and position from acceleration, and solve the differential equations of resistive motion and simple harmonic motion. Every step of the calculus is written out in the solutions: the setup, the limits, the antiderivative, and the evaluation.

Built for the way the exam actually tests you. Many medium and hard questions, and every free-response question in the units, combine ideas from two or more units: forces with energy and momentum, gravitation with orbits, torque with angular momentum, energy with oscillation. That is where most students lose points, and it is where this book gives you the most practice.

Explanations that teach. Each solution shows why the correct answer is right, starting from a fundamental principle and carrying units and significant figures to the final value. Free-body diagrams, graphs, and data plots are drawn clearly in black and white.

How to use it:

Alongside your course: work each unit as your class finishes it, then check every answer against the detailed solutions.

For focused review: take the practice exam first, score it by unit, and spend your time where you lost the most points.

For self-study: work the units in order, easy questions first, and redo every missed question a day or two later.

Every question, data set, figure, and solution in this book is original. Pair it with Practice to Mastery: AP® Physics C: Mechanics Practice Exams for a full season of timed, full-length practice.

AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this product.