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title: "The graph shows the net force \\(F_x\\) acting on a \\(2.0\\text{ kg}\\) object that moves along the \\(x\\)-axis as a function of position \\(x\\). For \\(0 \\le x \\le 3.0\\text{ m}\\), the force varies quadratically according to \\(F_x(x) = cx^2\\), reaching a maximum of \\(3.0\\text{ N}\\) at \\(x = 3.0\\text{ m}\\), and for \\(3.0\\text{ m} \\le x \\le 7.0\\text{ m}\\), the force decreases linearly to zero at \\(x = 7.0\\text{ m}\\). If the object has a speed of \\(4.0\\text{ m/s}\\) in the \\(+x\\)-direction at \\(x = 0\\), what is the speed of the object when it reaches \\(x = 7.0\\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/124072/"
date_modified: "2026-09-28T13:30:20+00:00"
---

# The graph shows the net force \(F_x\) acting on a \(2.0\text{ kg}\) object that moves along the \(x\)-axis as a function of position \(x\). For \(0 \le x \le 3.0\text{ m}\), the force varies quadratically according to \(F_x(x) = cx^2\), reaching a maximum of \(3.0\text{ N}\) at \(x = 3.0\text{ m}\), and for \(3.0\text{ m} \le x \le 7.0\text{ m}\), the force decreases linearly to zero at \(x = 7.0\text{ m}\). If the object has a speed of \(4.0\text{ m/s}\) in the \(+x\)-direction at \(x = 0\), what is the speed of the object when it reaches \(x = 7.0\text{ m}\)?

The graph shows the net force \(F_x\) acting on a \(2.0\text{ kg}\) object that moves along the \(x\)-axis as a function of position \(x\). For \(0 \le x \le 3.0\text{ m}\), the force varies quadratically according to \(F_x(x) = cx^2\), reaching a maximum of \(3.0\text{ N}\) at \(x = 3.0\text{ m}\), and for \(3.0\text{ m} \le x \le 7.0\text{ m}\), the force decreases linearly to zero at \(x = 7.0\text{ m}\). If the object has a speed of \(4.0\text{ m/s}\) in the \(+x\)-direction at \(x = 0\), what is the speed of the object when it reaches \(x = 7.0\text{ m}\)?

![A Cartesian graph with a horizontal axis labeled x (m) and a vertical axis labeled F_x (N). The horizontal axis has tick marks labeled at 0, 1, 2, 3, 4, 5, 6, 7, and 8. The vertical axis has tick marks labeled at 0, 1, 2, 3, and 4. A solid curve begins at the origin (0, 0) and curves upward with concave-up curvature to reach a peak at (3, 3). From (3, 3), a solid straight line segment extends downward to the right, ending at (7, 0) on the horizontal axis. A label near the curved segment reads F_x(x) = cx^2. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790602220-dAcBt1.jpg)

- **A.** \(3.0\text{ m/s}\)
- **B.** \(5.0\text{ m/s}\)
- **C.** \(7.0\text{ m/s}\)
- **D.** \(8.5\text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124072/*