Halliday, Resnick & Walker — Kinetic Energy and Work: Problem 37

Figure 7.25 gives the acceleration of a \(2.00 \text{ kg}\) particle as an applied force \(\vec{F}_a\) moves it from rest along an \(x\) axis from \(x = 0\) to \(x = 9.0 \text{ m}\). The scale of the figure’s vertical axis is set by \(a_s = 6.0 \text{ m/s}^2\). How much work has the force done on the particle when the particle reaches (a) \(x = 4.0 \text{ m}\), (b) \(x = 7.0 \text{ m}\), and (c) \(x = 9.0 \text{ m}\)? What is the particle’s speed and direction of travel when it reaches (d) \(x = 4.0 \text{ m}\), (e) \(x = 7.0 \text{ m}\), and (f) \(x = 9.0 \text{ m}\)?