# The displacement (in centimeters) of a particle moving back and forth along a straight line is...

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 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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