Speed (Calculus)

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An overview of the calculus version of the concept of speed. Definition and examples provided.

Speed
Definition
Speed is the absolute value of velocity:
Speed measures the rate of motion regardless of direction. Measured in distance per units of time.
,
Since we are essentially dealing with velocity, it is important to note that
and

Examples

Based on the function of position of feet at time , find the speed of the object at 4.24 seconds.

Based on the function of position of feet at time , find the speed of the object at 7.68 seconds.
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What if it is a free fall and the time unknown, how can I calculate the speed?

Haru-yzke