Motion & Kinematics

Position, velocity and acceleration: describing how things move, in a line and in space.

Vector Algebra Cosine and Sine by Vector Algebra Direction Cosines Perpendicular Vectors & Parallelogram Diagonals Law of Sines Vector Proof of a Trigonometric Identity Perpendicular Unit Vectors Volume of a Parallelepiped Constructing a Vector to a Point Expressing One Vector in Terms of Another Great Circle How Long Can the Sum of Two Vectors Be? A Mail Carrier's Displacement Three Short Trips Using Unit Vectors Motion Graphs: Position–Time and Velocity–Time Linear Dynamics (Position → Velocity → Acceleration) Linear Motion (Box on a Plane) Measuring g by Timing a Toss The Elevator and the Falling Marble Sportscar Jerk Smooth Elevator Ride Stopping Distance of a Car Catching a Speeder A Runner's Average Velocity How Far Does a Cyclist Go? Given x as a Function of t Average Acceleration of a Car Velocity and Acceleration Are Different Things Car Slowing Down Acceleration Given x(t) Analysing Motion with Graphs Designing a Runway Crossing an Intersection How Fast Must an Air Bag Inflate? Falling from a Tower Thrown Down from a Tower Ball Thrown Upward: How High, How Long Two Misconceptions About a Thrown Ball Ball Thrown Upward: Up and Back When Does the Ball Pass 8 Metres? Thrown Upward at the Edge of a Cliff Integrating a Time-Varying Acceleration Numerical Integration Projectile Motion: 1D Vertical → 2D Arc → 3D Crosswind Relative Velocity: Frames and a Two-Particle Circle Uniform Circular Motion Polar-Coordinate Kinematics Two Points Rolling Drum Particle with Constant Radial Velocity Rolling Tire Spiraling Particle Range on a Hill Peaked Roof Crossing a River Position Given as a Function of Time Driving off a Cliff A Kicked Football Where Does the Apple Land? The Wrong Strategy Level Horizontal Range A Punt Rescue Helicopter Drops Supplies Car Velocities at 90° Pursuit Curves: n Mutually-Chasing Bugs The Stretching-Rope Paradox
Playful Physics Further reading Feedback

Select a model

Spotted a mistake on this page? Report it