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Acceleration; Average and Instantaneous

In the same way as we used velocity to characterize the way in which position evolves with time, we introduce acceleration to characterize how velocity evolves with time. The average acceleration is defined as the average time-rate of increase of velocity:
equation66
The more velocity changes in a given time unit the larger is the acceleration. The dimension for acceleration is tex2html_wrap_inline141 and the unit is m/stex2html_wrap_inline143. The average acceleration equals the slope of the line connecting the point tex2html_wrap_inline145 to tex2html_wrap_inline147. For our case of constant acceleration we see that the average acceleration is independent of the time interval chosen.

We also introduce the instantaneous acceleration
eqnarray72
For our particular case the a(t) curve is simple, just a constant independent of time. In general, however, there is no reason that acceleration should be constant.



Collin Broholm
Fri Sep 12 13:46:30 EDT 1997