## Section 3.4 - Velocity and Other Rates of Change

**Essential Question(s):**

How can instantaneous rates of change be applied?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Instantaneous Rates of Change__

- What is the instantaneous rate of change definition? (pg 129)
- How can instantaneous rate of change be applied? (Ex 1 pg 129)

__Motion Along a Line__

- What is displacement and average velocity? (pg 130)
- What is instantaneous velocity of an object? (pg 130)
- How do you know the direction of an object in motion? (pg 131)
*Read Example 2 and take notes as needed. (pg 131)*- What is speed? (pg 131)
*Read Example 3 and take notes as needed. (pg 131)*- What is acceleration? (pg 132)
- What are the free-fall constants (Earth) (pg 132)
- How can you model vertical motion? (Ex4 pg 132-133)
- How can you model particle motion? (Ex 5 pg 133-134)

__Sensitivity to Change - OPTIONAL__

- Read Example 6 and take notes as needed. (pg 135)

__Derivatives in Economics - OPTIONAL__

- What are the terms economists use for rates of change? (pg 135-136)
- How do you calculate marginal cost and marginal revenue? (Ex 7 pg 136)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 129-136.
- Make sure to read the paragraphs between the examples and sidebar snippets.