# The Integral of Position

• May 13th 2008, 05:29 AM
Xander314
The Integral of Position
In Calculus I've worked with position, velocity, acceleration, and sometimes jerk, moving from one to another using differentiation and integration. However, one thing I have always wondered about yet never asked is, What is the integral of position? Does this quantity have any meaning? Who's rate of change is position? If anyone could help me it would be much appreciated.

~xander
• May 13th 2008, 05:41 AM
topsquark
Quote:

Originally Posted by Xander314
In Calculus I've worked with position, velocity, acceleration, and sometimes jerk, moving from one to another using differentiation and integration. However, one thing I have always wondered about yet never asked is, What is the integral of position? Does this quantity have any meaning? Who's rate of change is position? If anyone could help me it would be much appreciated.

~xander

As far as Physics is concerned there is nothing that is defined as the time integral of the position. However just by looking at the units we can speculate that this has something to do with impulse: I/m has the same units as your quantity.

-Dan