---
title: "An object moves along the \\(x\\)-axis. The graph shows the object’s velocity \\(v\\) as a function of time \\(t\\). During which of the following time intervals is the object moving in the positive \\(x\\)-direction with decreasing speed?"
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url: "https://nerd-notes.com/ubq/120489/"
date_modified: "2026-08-23T04:39:07+00:00"
---

# An object moves along the \(x\)-axis. The graph shows the object’s velocity \(v\) as a function of time \(t\). During which of the following time intervals is the object moving in the positive \(x\)-direction with decreasing speed?

An object moves along the \(x\)-axis. The graph shows the object's velocity \(v\) as a function of time \(t\). During which of the following time intervals is the object moving in the positive \(x\)-direction with decreasing speed?

![A 2D Cartesian graph with time t in seconds on the horizontal axis and velocity v in meters per second on the vertical axis. The horizontal axis ranges from 0 to 6 with labeled tick marks at 0, 1, 2, 3, 4, 5, and 6. The vertical axis ranges from -4 to 4 with labeled tick marks at -4, -2, 0, 2, and 4. A single solid piecewise linear curve begins at (0, 0), rises to (2, 4), decreases linearly passing through (4, 0), and ends at (6, -4). Thin dashed gridlines extend across all integer grid values. No other curves, text, or arrows appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459947-NuazX5.jpg)

- **A.** From \(t = 2\text{ s}\) to \(t = 4\text{ s}\), because the velocity is positive and the acceleration \(\dfrac{dv}{dt}\) is negative.
- **B.** From \(t = 0\text{ s}\) to \(t = 2\text{ s}\), because the velocity is positive and the slope of the velocity-time graph is positive.
- **C.** From \(t = 4\text{ s}\) to \(t = 6\text{ s}\), because the slope of the velocity-time graph is negative.
- **D.** From \(t = 2\text{ s}\) to \(t = 6\text{ s}\), because the acceleration is negative throughout the entire interval.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120489/*