A particle moves along a straight line. Its velocity, in meters per second, is given by v(t)=6−3t for 0≤t≤4, where t is measured in seconds.
(a) Determine the particle’s displacement, in meters, from t=0 to t=4.
(b) Determine the total distance, in meters, that the particle travels on the interval 0≤t≤4. Show all work that supports your answer.
(c) Explain, using the behavior of v, why the values found in parts (a) and (b) are different.