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Motion Analysis definitions

컨트롤 버튼이 '내비게이션' 모드로 변경되었습니다.
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  • Derivative
    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.