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