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

• No School
• AA 1
• 8

This preview shows page 1 - 5 out of 8 pages.

SECTION 2.1 AVERAGE AND INSTANTANEOUS VELOCITY

Subscribe to view the full document.

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?
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.

Subscribe to view the full document.

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.
• Fall '19
• Derivative, 2.5 seconds, 2 seconds, 4 seconds, 4 seconds

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes