Is the area under the velocity - time curve the displacement or the distance? I think it is the distance because areas are not affected by negative velocities. Edit: in the book Haliday and Resnick Fundamentals of physics 8th edition page 27 "When the acceleration curve is above the time axis, the area is positive; when the curve is below the time axis, the area is negative." how is that right ? I mean areas are never negative right?