Learning Log #6. 1.6 HW Chapter 2 Limits & Derivatives Yeah! We begin Calculus.

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Presentation transcript:

Learning Log #6

1.6 HW

Chapter 2 Limits & Derivatives Yeah! We begin Calculus

EXAMPLE 1 If a ball is thrown into the air with an initial velocity of 60 ft/sec, its height (in feet) after seconds is given by a) Find the average velocity for the time period beginning when and lasting i).5 s. ii).1 s. iii).05 s. iv).01 s.

Example 1: Numeric

Example 1 continued

Another way to calculate average velocity … We can calculate the velocity from time t =2 to some time slightly later t = 2+h

continued …

Slope of Tangent Line= Instantaneous velocity

Example 2 The position of a car is given by the values in the table. a)Find the average velocity for the time period beginning when t=2 lasting… i) 3 sec ii) 2 sec iii) 1 sec t(seconds) s(feet)

Guided practice #6 Large whiteboards

Homework Pgs.89,90 (2,5) Due tomorrow