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) + 3 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] 6 cm/s (ii) [1, 1.1] -13.98 cm/s (iii) [1, 1.01] -15.56 cm/s (iv) [1, 1.001] -15.69 cm/s (b) Estimate the instantaneous velocity of the particle when t = 1.