---
title: "An object moves along a straight horizontal track. The graph shows the object’s velocity \\(v\\) as a function of time \\(t\\) between \\(t = 0\\text{ s}\\) and \\(t = 4.0\\text{ s}\\). The curve is parabolic with its vertex at \\((0\\text{ s}, 2.0\\text{ m/s})\\) and passes through \\((4.0\\text{ s}, 10.0\\text{ m/s})\\). What is the average velocity of the object over the time interval from \\(t = 0\\text{ s}\\) to \\(t = 4.0\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/120499/"
date_modified: "2026-08-23T04:39:14+00:00"
---

# An object moves along a straight horizontal track. The graph shows the object’s velocity \(v\) as a function of time \(t\) between \(t = 0\text{ s}\) and \(t = 4.0\text{ s}\). The curve is parabolic with its vertex at \((0\text{ s}, 2.0\text{ m/s})\) and passes through \((4.0\text{ s}, 10.0\text{ m/s})\). What is the average velocity of the object over the time interval from \(t = 0\text{ s}\) to \(t = 4.0\text{ s}\)?

An object moves along a straight horizontal track. The graph shows the object's velocity \(v\) as a function of time \(t\) between \(t = 0\text{ s}\) and \(t = 4.0\text{ s}\). The curve is parabolic with its vertex at \((0\text{ s}, 2.0\text{ m/s})\) and passes through \((4.0\text{ s}, 10.0\text{ m/s})\). What is the average velocity of the object over the time interval from \(t = 0\text{ s}\) to \(t = 4.0\text{ s}\)?

![A Cartesian coordinate graph with a horizontal time axis labeled t (s) from 0 to 5.0 and a vertical velocity axis labeled v (m/s) from 0 to 12.0. Orthogonal light gray gridlines are spaced at intervals of 1.0 s horizontally and 2.0 m/s vertically. A solid black curve begins at the vertical intercept (0, 2.0) with a horizontal slope and curves upward with increasing slope, passing directly through the grid intersection at (2.0, 4.0) and terminating at (4.0, 10.0). Solid black circular dots mark the points at (0, 2.0) and (4.0, 10.0). No other curves, labels, or shading appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459953-KutQkN.jpg)

- **A.** \(2.7\text{ m/s}\)
- **B.** \(4.0\text{ m/s}\)
- **C.** \(4.7\text{ m/s}\)
- **D.** \(6.0\text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120499/*