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The displacement (in centimeters) of a particle s moving back and forth along a straight line is given by the equation 

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.

 ____cm/s

 
 Aug 23, 2024

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