---
title: "A particle moves along the x-axis with an acceleration of \\( a = 18t \\), where \\( a \\) has units of \\( \\text{m/s}^2 \\). If the particle at time \\( t = 0 \\) is at the origin with a velocity of \\( -12 \\, \\text{m/s} \\), what is its position at \\( t = 4.0 \\, \\text{s} \\)?"
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url: "https://nerd-notes.com/ubq/30593/"
date_modified: "2024-09-24T02:52:43+00:00"
---

# A particle moves along the x-axis with an acceleration of \( a = 18t \), where \( a \) has units of \( \text{m/s}^2 \). If the particle at time \( t = 0 \) is at the origin with a velocity of \( -12 \, \text{m/s} \), what is its position at \( t = 4.0 \, \text{s} \)?

A particle moves along the x-axis with an acceleration of \( a = 18t \), where \( a \) has units of \( \text{m/s}^2 \). If the particle at time \( t = 0 \) is at the origin with a velocity of \( -12 \, \text{m/s} \), what is its position at \( t = 4.0 \, \text{s} \)? Note this requires calculus to solve.

- **A.** 12 m
- **B.** 72 m
- **C.** 60 m
- **D.** 144 m
- **E.** 196 m

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/30593/*