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.