---
title: "A cart moves along a straight horizontal track. At time \\(t = 0\\), the cart has an initial velocity of \\(v_0 = 4.0 \\text{ m/s}\\). The acceleration of the cart as a function of time \\(t\\) is given by \\(a(t) = C t\\), where \\(C = 3.0 \\text{ m/s}^3\\). What is the velocity of the cart at time \\(t = 2.0 \\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/117555/"
date_modified: "2026-08-04T07:49:03+00:00"
---

# A cart moves along a straight horizontal track. At time \(t = 0\), the cart has an initial velocity of \(v_0 = 4.0 \text{ m/s}\). The acceleration of the cart as a function of time \(t\) is given by \(a(t) = C t\), where \(C = 3.0 \text{ m/s}^3\). What is the velocity of the cart at time \(t = 2.0 \text{ s}\)?

A cart moves along a straight horizontal track. At time \(t = 0\), the cart has an initial velocity of \(v_0 = 4.0 \text{ m/s}\). The acceleration of the cart as a function of time \(t\) is given by \(a(t) = C t\), where \(C = 3.0 \text{ m/s}^3\). What is the velocity of the cart at time \(t = 2.0 \text{ s}\)?

- **A.** \(4.0 \text{ m/s}\)
- **B.** \(6.0 \text{ m/s}\)
- **C.** \(7.0 \text{ m/s}\)
- **D.** \(10.0 \text{ m/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117555/*