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Home > AP Courses and Exams > Course Home Pages > Kinematics: Motion in Two Dimensions

Kinematics: Motion in Two Dimensions

Demonstrations
Each of the demonstrations includes a picture, description, suggestion of use, equipment needed, and the approximate setup time.
  Vector Addition With Rope and Students
  Howitzer Cart
  Balls Dropped and Shot
  Monkey and Hunter
  Air Track: Sailing Upwind

Lab Experiments
Each lab is given with objectives, materials, background theory, analysis, and questions.

Projectile Motion
Students determine the components for horizontal projection.
  Projectile Motion

Projectile Motion
This experiment uses PASCO equipment for projectiles fired at an angle. It includes a good historical background on projectiles.
  Projectile Motion

PASCO: Relative Motion
Students investigate relative motion and frames of reference using a motion sensor.
  PASCO: Relative Motion

Lecture Notes and Tutorials
These notes from PhysicsLAB by Catherine H. Colwell contain detailed explanations of background material, annotated diagrams and illustrations, and solved examples.
  Scalars and Vectors
  2D Projectiles: Horizontal Release
  2D Projectiles: Released at an Angle

Notes from Frank Wolfs at the University of Rochester
These notes contain calculus-level, detailed explanations of background material, annotated diagrams and illustrations, and solved examples.
  Vectors
  Motion in a Plane

Simulations
Physics Simulation Library
Each simulation includes an audio introduction and general directions. These simulations are very well designed, and each experiment gives the opportunity to change the parameters, collect data, and interpret various graphs. The following simulations are included: Vector Addition Using Components, Projectile Motion, and Relative Velocities.
  Physics Simulation Library

Vector Addition
This applet shows vector addition and subtraction of two vectors.
  Vector Addition

A Chase
This applet shows a calculus-based simulation of a chase between two balls at different velocities.
  A Chase

Another Chase
This applet shows a calculus-based simulation of a chase among five particles at different velocities.
  Another Chase

Problem Solving
Multi-Dimensional Kinematics Problem Set
This set from the University of Oregon contains 10 interactive problems with hints and detailed solutions.
  Multi-Dimensional Kinematics

Multiple Choice Interactive from the Science Education Centre
  Vectors and Scalars I
  Vectors and Scalars II
  Equations of Motion II

Interactive Physics Problem Set
This site from the University of California at Berkeley has two sections with 11 problems including step-by-step solutions.
  Interactive Physics Problem Set

Explorations
The Science of Jumping and Rotating: The Biomechanics of Skating
This site contains very good explanations with video clips and animations on skating jumps, including a description of projectile motion.
  The Science of Jumping and Rotating: The Biomechanics of Skating

Vectors and Projectiles
A set of 18 multimedia animations from the Multimedia Physics Studio about the physics of vectors shows their application to the motion of projectiles. Each animation includes a brief tutorial and interactive exercises.
  Vectors and Projectiles


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