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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) + 2 cos(πt), where t is measured in seconds. (Round your answers to two decimal places.)

(a) Find the average velocity during each time period.

(i) [1, 2] cm/s 

(ii) [1, 1.1] cm/s 

(iii) [1, 1.01] cm/s

(iv) [1,1.001] cm/s

(b) Estimate the instantaneous velocity of the particle when t=1.

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Vikas
VikasLv10
9 Dec 2020

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