The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation s(t) = 2 sin at + 3 cos nt, where t is measured in seconds. a) Find the average velocity during each time period. Round to 3 decimal places. ) [1, 1.1); ii) [1, 1.01); ii) [1, 1.001); iv) [1, 1.0001]; v) [1, 1.00001). b) Estimate the instantaneous velocity of the particle when t = 1. Round to 3 decimal places.

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation s(t) = 2 sin at + 3 cos nt, where t is measured in seconds. a) Find the average velocity during each time period. Round to 3 decimal places. ) [1, 1.1); ii) [1, 1.01); ii) [1, 1.001); iv) [1, 1.0001]; v) [1, 1.00001). b) Estimate the instantaneous velocity of the particle when t = 1. Round to 3 decimal places.