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(πt) + 4
cos(πt), 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]
_______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.