Position coordinate of a particle confined to

move along a straight line is given by s=

2t

3–24t+ 6, where s is measured in meters

from a convenient origin and t is in seconds.

determine: (a) time required for the particle

to reach a velocity of 72 m/s from its initial

condition at t= 0, (b) acceleration of the

particle when v= 30 m/s, and (c) net

displacement of the particle during the

interval from t= 1 s to t= 4 s.