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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 s = 2 sin πt 1 3 cos πt, where t 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 t − 1.
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