---
title: "An object moves along the \\(x\\)-axis with a velocity given as a function of time \\(t\\) by \\(v(t) = 3t^2 + 2\\), where \\(v\\) is in meters per second and \\(t\\) is in seconds. What is the displacement of the object from \\(t = 0\\text{ s}\\) to \\(t = 2\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/117537/"
date_modified: "2026-08-04T07:48:56+00:00"
---

# An object moves along the \(x\)-axis with a velocity given as a function of time \(t\) by \(v(t) = 3t^2 + 2\), where \(v\) is in meters per second and \(t\) is in seconds. What is the displacement of the object from \(t = 0\text{ s}\) to \(t = 2\text{ s}\)?

An object moves along the \(x\)-axis with a velocity given as a function of time \(t\) by \(v(t) = 3t^2 + 2\), where \(v\) is in meters per second and \(t\) is in seconds. What is the displacement of the object from \(t = 0\text{ s}\) to \(t = 2\text{ s}\)?

- **A.** \(8\text{ m}\)
- **B.** \(12\text{ m}\)
- **C.** \(14\text{ m}\)
- **D.** \(16\text{ m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117537/*