# lecture6 - Lecture 6: Velocity and Tangent Lines Chapter 1,...

This preview shows pages 1–5. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 6: Velocity and Tangent Lines Chapter 1, Section 6 and 7 ex. A turtle is moving along a path so that its distance from a flxed starting point is given by the following table: time (minutes) 1 2 3 4 distance (feet) 0.2 0.5 0.78 1 Find the average velocity of the turtle on the time interval [0 ; 2]. Does the turtle appear to be moving at a constant rate? Find the average velocity on the time interval [2 ; 3]. Position Functions ex. Suppose an object is s ( t ) feet from a starting point at t seconds, where s ( t ) = 2 t 2 + 3. 1) Find the average velocity on the time interval from t = 1 to t = 2. 2) Find the average velocity on the time interval t = 1 to t = 1 : 2. ( s (1 : 2) = 2(1 : 2) 2 + 3 = 5 : 88) For position function s ( t ) = 2 t 2 + 3, if h is a small number, flnd the average velocity on the time interval [1 ; 1 + h ] from t = 1 to t = 1 + h seconds. Can we flnd the instantaneous velocity of the object at t = 1 second? Tangent lines Tangent line to a graph at point P 6- ?...
View Full Document

## lecture6 - Lecture 6: Velocity and Tangent Lines Chapter 1,...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online