Section 2.1.pptx - SECTION 2.1 AVERAGE AND INSTANTANEOUS...

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SECTION 2.1 AVERAGE AND INSTANTANEOUS VELOCITY
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Example 1: An ant moves back and forth along a line, starting at the middle of the line. Below is a graph of her position in centimeters as time goes by (measured in seconds). What is her position after 2 seconds? 4 seconds? Find the average change in her position per second between 2 and 4 seconds. What does this rate of change represent?
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Average Velocity = The average velocity over any interval is the slope of the line joining the endpoints of the interval. The line is called a secant line. The distinction between speed and velocity: Velocity is commonly used when direction is taken into account. Speed is used when you are simply concerned with how fast an object is moving and not bothering with whether it is moving forward or backwards.
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In example 1, can you find the exact rate of change at 2.5 seconds? What does this represent? Instantaneous velocity can be approximated by computing the average velocity for some small intervals of time.
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  • Fall '19
  • Derivative, 2.5 seconds, 2 seconds, 4 seconds, 4 seconds

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