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 DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full 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
 Spring '08
 ALL
 Calculus, Geometry

Click to edit the document details