The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion 5 sin(nt) cos(t), where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
(1, 2] cm/s
[1, 1.1] cm/s
[1, 1.01] cm/s
[0, 0.01] cm/s
(b) Estimate the instantaneous velocity of the particle when t = 0.01 seconds.