### Concept (1)

The instantaneous velocity is the velocity of an object at a certain time. If given its position before, during, and after the required time, the instantaneous velocity can be estimated. While estimates of the instantaneous velocity can be found using positions and times, an exact calculation requires using the derivative function. The instantaneous velocity is not the same thing as the average velocity.

### Sample Problems (3)

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###### Problem 1
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.
###### Problem 2
How to estimate the intervals of time when velocity is positive from a graph of position vs. time, and how to estimate when velocity is greatest. Where instantaneous velocity is positive or negative.
###### Problem 3
How to estimate instantaneous velocity when position and time are given in a table.