Solved: The displacement (in centimeters) of a particle moving back and forth along a

Chapter 2, Problem 8

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The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion , where is measured in seconds. (a) Find the average velocity during each time period: (i) [1, 2] (ii) [1, 1.1] (iii) [1, 1.01] (iv) [1, 1.001] (b) Estimate the instantaneous velocity of the particle when .

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