01 — Kinematics in One Dimension: Practice Problems and Fully Worked Solutions

Build a reliable approach to straight-line motion with 24 questions and fully worked solutions across 36 pages.

The solutions go beyond final answers: they explain why a method applies, show the intermediate steps and calculations, and connect the mathematics to the physical reasoning. Multiple-choice solutions explain both the correct choice and the misconceptions behind the alternatives.

WHAT YOU WILL PRACTISE
• Distance, displacement, average speed and average velocity.
• Position–time, velocity–time and acceleration–time graphs, including reversals and signed areas.
• Constant-acceleration equations, reaction and braking distance, and free fall.
• Multi-stage journeys, physical roots and reconstructing motion from data.
• Symbolic derivation and labelled calculus extensions using differentiation and integration.

STRUCTURED FOR INDEPENDENT PRACTICE
6 conceptual multiple-choice questions, 4 Foundation, 6 Core, 5 Advanced and 3 Extension problems. Many have several parts. Questions are together in Part I, followed by fully worked solutions in Part II. Clickable question-to-solution and return links and a linked contents page make navigation easy.

DETAILED SOLUTIONS THAT TEACH THE METHOD
The solutions explain graph gradients and signed areas, when constant-acceleration equations apply, how to carry boundary values between stages, and which mathematical roots describe physical motion. Longer solutions develop the approach step by step, with clearly identified final answers and checks where appropriate.

Attempt each question first, then compare your setup and reasoning with the solution.

COURSE FIT
Relevant to shared one-dimensional mechanics skills in A-level and International A-level Physics, IB Diploma Physics, AP Physics 1 and AP Physics C: Mechanics. Foundation, Core and Advanced problems use algebra, graphs and symbolic manipulation. The three labelled calculus extensions are intended for AP Physics C, mathematics mechanics and university preparation.

WHAT YOU RECEIVE
The 36-page English-language Practice Problems and Fully Worked Solutions PDF, containing all 24 questions and solutions, plus the matching Instructor Question Map PDF. Sample-page images are also included.

Part of the Premium Mechanics Series from Phi Advanced STEM Studies. Guided Self-Study Notes and the separate Worked Examples collection are not included. No editable source files, tutoring or personal feedback are included. These independent educational support materials are not an official publication or endorsement by any examination board.