Question

Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin pt + 3 cos pt, where t is measured in seconds.
(a) Find the average velocity during each time period:
(i) [1, 2] (ii) [1, 1.1]
(iii) [1, 1.01] (iv) [1, 1.001]

(b) Estimate the instantaneous velocity of the particle when t = 1.