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  2. Time derivative - Wikipedia

    en.wikipedia.org/wiki/Time_derivative

    A time derivative is a derivative of a function ... Its position is given by the ... If we want to calculate the time derivatives of these components ...

  3. Fourth, fifth, and sixth derivatives of position - Wikipedia

    en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth...

    Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.

  4. Jerk (physics) - Wikipedia

    en.wikipedia.org/wiki/Jerk_(physics)

    Further time derivatives have also been named, as snap or jounce (fourth derivative), crackle (fifth derivative), and pop (sixth derivative). [12] [13] The seventh derivative is known as "Bang," as it is a logical continuation to the cycle. The eighth derivative has been referred to as "Boom," and the 9th is known as "Crash."

  5. Mass flow rate - Wikipedia

    en.wikipedia.org/wiki/Mass_flow_rate

    Mass flow rate is defined by the limit [3] [4] ˙ = =, i.e., the flow of mass through a surface per time .. The overdot on ˙ is Newton's notation for a time derivative.Since mass is a scalar quantity, the mass flow rate (the time derivative of mass) is also a scalar quantity.

  6. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    velocity is the derivative (with respect to time) of an object's displacement (distance from the original position) acceleration is the derivative (with respect to time) of an object's velocity, that is, the second derivative (with respect to time) of an object's position. For example, if an object's position on a line is given by

  7. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    where t is time, and each overdot denotes one time derivative. The initial conditions are given by the constant values at t = 0, (), ˙ (). The solution r(t) to the equation of motion, with specified initial values, describes the system for all times t after t = 0.

  8. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    The higher order derivatives can be applied in physics; for example, while the first derivative of the position of a moving object with respect to time is the object's velocity, how the position changes as time advances, the second derivative is the object's acceleration, how the velocity changes as time advances. Derivatives can be generalized ...

  9. Motion graphs and derivatives - Wikipedia

    en.wikipedia.org/wiki/Motion_graphs_and_derivatives

    Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object. (Velocity is on the y-axis and time on the x-axis. Multiplying the velocity by the time, the time cancels out, and only displacement remains.)