A particle moves along with a velocity of v=2t^3-32 m/s, where t is in seconds. At t_o= 0 seconds, s_o= 0 meters. Determine the following:
a) Determine the particle's displacement from 0 to 4 seconds
b) Determine the particle's average velocity from 0 to 4 seconds
c) Determine the particle's total distance traveled from 0 to 4 seconds
d) Determine the particle's average speed from 0 to 4 seconds