The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s=4 sin(t) + 2 cos(xt), 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 x cm/s (ii) [1, 1.1] -10.40 x cm/s (iii) [1, 1.01] -12.37 x cm/s (iv) [1, 1.001] -12.55 x cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. -12.57 cm/s

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s=4 sin(t) + 2 cos(xt), 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 x cm/s (ii) [1, 1.1] -10.40 x cm/s (iii) [1, 1.01] -12.37 x cm/s (iv) [1, 1.001] -12.55 x cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. -12.57 cm/s