---
title: "An automated cart travels along a straight, horizontal track. The cart’s velocity \\(v\\) as a function of time \\(t\\) is shown in the graph. What is the total displacement of the cart from \\(t = 0\\text{ s}\\) to \\(t = 9\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/120486/"
date_modified: "2026-08-23T04:39:07+00:00"
---

# An automated cart travels along a straight, horizontal track. The cart’s velocity \(v\) as a function of time \(t\) is shown in the graph. What is the total displacement of the cart from \(t = 0\text{ s}\) to \(t = 9\text{ s}\)?

An automated cart travels along a straight, horizontal track. The cart's velocity \(v\) as a function of time \(t\) is shown in the graph. What is the total displacement of the cart from \(t = 0\text{ s}\) to \(t = 9\text{ s}\)?

![A quantitative Cartesian coordinate graph of velocity \(v\) in meters per second on the vertical axis versus time \(t\) in seconds on the horizontal axis. The horizontal axis ranges from \(t = 0\) to \(t = 10\text{ s}\) with tick marks and gridlines at every integer from 0 to 10. The vertical axis ranges from \(-4\text{ m/s}\) to \(5\text{ m/s}\) with tick marks and gridlines at every integer from -4 to 5. A thick solid black line represents the cart's velocity and consists of four connected line segments: starting at \((0, 0)\), connecting linearly to \((3, 4)\), continuing horizontally to \((5, 4)\), decreasing linearly to \((7, 0)\), and continuing linearly down to \((9, -3)\). No other curves, labels, or shaded areas appear on the graph.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459946-9OtrIz.jpg)

- **A.** \(15\text{ m}\)
- **B.** \(18\text{ m}\)
- **C.** \(21\text{ m}\)
- **D.** \(25\text{ m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120486/*