Halliday, Resnick & Walker — Motion Along a Straight Line: Problem 82

Figure 2.29 gives the acceleration \( a \) versus time \( t \) for a particle moving along an \( x \) axis. The \( a \)-axis scale is set by \( a_s = 12.0 \text{ m/s}^2 \). At \( t = -2.0 \text{ s} \), the particle’s velocity is \( 7.0 \text{ m/s} \). What is its velocity at \( t = 6.0 \text{ s} \)?