Halliday, Resnick & Walker — Motion Along a Straight Line: Problem 87

Velocity versus time. Figure 2.32 gives the velocity \( v \) (m/s) versus time \( t \) (s) for a particle moving along an \( x \) axis. The area between the time axis and the plotted curve is given for the two portions of the graph. At \( t = t_A \) (at one of the crossing points in the plotted figure), the particle’s position is \( x = 14 \) m. What is its position at (a) \( t = 0 \) and (b) \( t = t_B \)?