A particle moves along a straight line so that its velocity at time t seconds is given by v(t)=3t2−12t+5 meters per second for 0≤t≤4.
(a) Calculate the average velocity of the particle over the interval 0≤t≤4 and state the units of your answer.
(b) Determine the displacement of the particle during the same four-second interval.
(c) Describe the meaning of the sign of your answer in part (b) in terms of the particle’s motion.