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College Physics 2e · Two-Dimensional Kinematics

Introduction to Two-Dimensional Kinematics

CC BY 4.0 · OpenStax · approximately 1 min read

Learning objectives

View original figure (external; image not reproduced in this text edition)

Original figure description: A tennis player in a wheelchair on a tennis court strikes a ball as it meets their racket.

Hitting a tennis ball is difficult enough when it is traveling at high speeds in a relatively straight line. However, most motion is in curved, rather than straight-line, paths. Tennis players must account for the arc of the ball and the impact of its spin, while they also predict how it will bounce and plan the location of their shot. Motion along a curved path is two- or three-dimensional motion, and can be described in a similar fashion to one-dimensional motion. (credit: Edwin Martinez/Flickr)

The arc of a basketball, the orbit of a satellite, a bicycle rounding a curve, a swimmer diving into a pool, blood gushing out of a wound, and a puppy chasing its tail are but a few examples of motions along curved paths. In fact, most motions in nature follow curved paths rather than straight lines. Motion along a curved path on a flat surface or a plane (such as that of a ball on a pool table or a skater on an ice rink) is two-dimensional, and thus described by two-dimensional kinematics. Motion not confined to a plane, such as a car following a winding mountain road, is described by three-dimensional kinematics. Both two- and three-dimensional kinematics are simple extensions of the one-dimensional kinematics developed for straight-line motion in the previous chapter. This simple extension will allow us to apply physics to many more situations, and it will also yield unexpected insights about nature.

Original figure description: OpenStax Concept Trailer for Two-Dimensional Kinematics

← Graphical Analysis of One-Dimensional MotionKinematics in Two Dimensions: An Introduction →

Attribution. College Physics 2e, OpenStax, Rice University, and the contributing authors credited in the book. Licensed under Creative Commons Attribution 4.0 International. Source revision f98d7a7921 of openstax/osbooks-college-physics-bundle (2026-02-04). CC BY 4.0. Original source ↗. Text edition of a pinned CC BY 4.0 source revision of the OpenStax book, converted from CNXML by the EvidenceHelix importer. Original prose, learning objectives, tables, exercises, glossary and captions are preserved; images are not copied (figures link to the original source and keep their credits). No new content was added. Later revisions of this book can carry different licence terms and are not used.

In this chapter Contents

  • Introduction to Two-Dimensional Kinematics
  • Kinematics in Two Dimensions: An Introduction
  • Vector Addition and Subtraction: Graphical Methods
  • Vector Addition and Subtraction: Analytical Methods
  • Projectile Motion
  • Addition of Velocities

Source

OpenStax source file ↗

Illustrated original ↗

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