Find Instantaneous Velocity: The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation s(t) = 2 sin(pi) + 3 cos(pi), where t is measured in seconds.

a) Find the average velocity during each time period. Round to 3 decimal places.
i) (1, 1.1]
ii) [1, 1.01]
iii) (1, 1.001]
iv) (1, 1.0001]
v) [1, 1.00001]
b) Estimate the instantaneous velocity of the particle when t = 1.

(Hint: b) compare to multiple of Pi]