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

sπtπt

where t

(a) Find the average velocity during each time period.

(i)    [1, 2]

cm/s

(ii)    [1, 1.1]

cm/s

(iii)    [1, 1.01]

cm/s

(iv)    [1, 1.001]

cm/s

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

cm/s