Motion and kinematics
Kinematics describes where an object is, how quickly its position changes, and how motion evolves with time. The tools separate distance from displacement, speed from velocity, and linear motion from rotation.
Constant velocity and acceleration
Uniform-motion pages connect position, velocity, and time. Constant-acceleration pages add a steady rate of velocity change. If acceleration varies substantially, one constant value cannot represent the interval.
Free fall and projectile paths
Free-fall tools state gravitational acceleration and neglect aerodynamic drag. Projectile pages separate horizontal and vertical components, and distinguish level-ground formulas from horizontal launches above a landing point.
Relative motion and interception
Relative-speed, catch-up, pursuit, and meeting calculations depend on direction. Same-direction speeds are subtracted, while opposing closing speeds are added in a shared reference frame.
Rotation and angular quantities
Period, frequency, angular speed, tangential speed, arc length, angular acceleration, and rotational displacement connect circular motion with linear distance. Radian measure is explicit where the physics requires it.
Stopping and graph interpretation
Stopping tools distinguish reaction travel from braking distance. Graph pages interpret slope on position-time data and signed area under a velocity-time segment.
Model limits
These are transparent educational models. Real motion can include drag, slope, changing acceleration, traction limits, uncertainty, and three-dimensional paths. Safety-critical decisions require verified measurements and suitable professional methods.