---
title: "An experimental rover is tested on a long, straight, horizontal track. In the first trial, the rover starts from rest and undergoes a constant acceleration \\(a_0\\) for a time interval \\(t_0\\), resulting in a displacement \\(\\\\Delta x_1\\). In the second trial, the rover again starts from rest but undergoes a constant acceleration \\(2a_0\\) for a time interval \\(2t_0\\), resulting in a displacement \\(\\\\Delta x_2\\). What is the value of the displacement \\(\\\\Delta x_2\\) in terms of \\(\\\\Delta x_1\\)?"
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url: "https://nerd-notes.com/ubq/113911/"
date_modified: "2026-06-22T07:38:10+00:00"
---

# An experimental rover is tested on a long, straight, horizontal track. In the first trial, the rover starts from rest and undergoes a constant acceleration \(a_0\) for a time interval \(t_0\), resulting in a displacement \(\\Delta x_1\). In the second trial, the rover again starts from rest but undergoes a constant acceleration \(2a_0\) for a time interval \(2t_0\), resulting in a displacement \(\\Delta x_2\). What is the value of the displacement \(\\Delta x_2\) in terms of \(\\Delta x_1\)?

An experimental rover is tested on a long, straight, horizontal track. In the first trial, the rover starts from rest and undergoes a constant acceleration \(a_0\) for a time interval \(t_0\), resulting in a displacement \(\Delta x_1\). In the second trial, the rover again starts from rest but undergoes a constant acceleration \(2a_0\) for a time interval \(2t_0\), resulting in a displacement \(\Delta x_2\). What is the value of the displacement \(\Delta x_2\) in terms of \(\Delta x_1\)?

- **A.** \(2\Delta x_1\)
- **B.** \(4\Delta x_1\)
- **C.** \(8\Delta x_1\)
- **D.** \(16\Delta x_1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/113911/*