A particle moves along a straight line with velocity v(t)=3−t meters per second for 0≤t≤4. Which statement best describes its displacement along the line over this interval?
(a) 5 meters to the right, because the displacement equals the total distance traveled.
(b) 0 meters, because the positive and negative areas under v(t) cancel one another.
(c) 4 meters to the right, because the positive velocity for 0≤t≤3 outweighs the negative velocity for 3≤t≤4.
(d) 8 meters to the right, found by evaluating an antiderivative at t=4 without subtracting the value at t=0.