The displacement (in cm) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin t + 3 cos t, where t...

8. The displacement (in cm) of a particle moving back and forth along a straight line isgiven by the equation of motion s = 2 sin t + 3 cos t, where t is measured in seconds.(a) Find the average velocity during each 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.