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

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

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