BackMotion Analysis definitions
You can tap to flip the card.
Control buttons has been changed to "navigation" mode.
1/15BackSkip to main contentBackDerivative
A mathematical tool that measures how a quantity changes with respect to another, often used to analyze rates in motion. Position Function
A formula that gives the location of an object at any moment, typically expressed in terms of time. Velocity
A measure of how fast and in what direction an object's position changes, found as the first derivative of position. Acceleration
A measure of how quickly velocity changes, calculated as the first derivative of velocity or the second derivative of position. Displacement
The net change in position over a time interval, found by subtracting initial from final position. Average Velocity
The total change in position divided by the total change in time, representing the slope of a secant line. Instantaneous Velocity
The rate of change of position at a specific moment, represented by the slope of a tangent line. Speed
The magnitude of velocity, always non-negative, found by taking the absolute value of velocity. Time Interval
A span between two time points, used to calculate changes in position, velocity, or acceleration. Secant Line
A straight line connecting two points on a curve, used to represent average rates like average velocity. Tangent Line
A straight line that touches a curve at one point, representing the instantaneous rate of change. Power Rule
A differentiation technique where the exponent is multiplied by the coefficient and reduced by one. Units
Standard quantities used to specify measurements, such as meters per second for velocity or meters per second squared for acceleration. Slope
A measure of steepness, representing the rate of change in a graph, crucial for interpreting velocity and acceleration. Function
A mathematical relationship assigning each input exactly one output, often used to model position, velocity, or acceleration.
Back
06:29
