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2. 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 = = =.

3. Spacetime diagram - Wikipedia

   en.wikipedia.org/wiki/Spacetime_diagram

   Unlike a regular distance-time graph, the distance is displayed on the horizontal axis and time on the vertical axis. Additionally, the time and space units of measurement are chosen in such a way that an object moving at the speed of light is depicted as following a 45° angle to the diagram's axes.

4. 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.)

5. Linear motion - Wikipedia

   en.wikipedia.org/wiki/Linear_motion

   These relationships can be demonstrated graphically. The gradient of a line on a displacement time graph represents the velocity. The gradient of the velocity time graph gives the acceleration while the area under the velocity time graph gives the displacement. The area under a graph of acceleration versus time is equal to the change in velocity.

6. File:Distance-time graph example.svg - Wikipedia

   en.wikipedia.org/wiki/File:Distance-time_graph...

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7. Displacement (geometry) - Wikipedia

   en.wikipedia.org/wiki/Displacement_(geometry)

   Displacement is the shift in location when an object in motion changes from one position to another. [2] For motion over a given interval of time, the displacement divided by the length of the time interval defines the average velocity (a vector), whose magnitude is the average speed (a scalar quantity).

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9. Absement - Wikipedia

   en.wikipedia.org/wiki/Absement

   It is the first time-integral of the displacement [3] [4] (i.e. absement is the area under a displacement vs. time graph), so the displacement is the rate of change (first time-derivative) of the absement. The dimension of absement is length multiplied by time.