---
title: "A \\( 0.20 \\) \\( \\text{kg} \\) object moves along a straight line. The net force acting on the object varies with the object’s displacement as shown in the graph above. The object starts from rest at displacement \\( x = 0 \\) and time \\( t = 0 \\) and is displaced a distance of \\( 20 \\) \\( \\text{m} \\). Determine each of the following."
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url: "https://nerd-notes.com/ubq/39391/"
date_modified: "2025-03-11T05:51:02+00:00"
---

# A \( 0.20 \) \( \text{kg} \) object moves along a straight line. The net force acting on the object varies with the object’s displacement as shown in the graph above. The object starts from rest at displacement \( x = 0 \) and time \( t = 0 \) and is displaced a distance of \( 20 \) \( \text{m} \). Determine each of the following.

A \( 0.20 \) \( \text{kg} \) object moves along a straight line. The net force acting on the object varies with the object’s displacement as shown in the graph above. The object starts from rest at displacement \( x = 0 \) and time \( t = 0 \) and is displaced a distance of \( 20 \) \( \text{m} \). Determine each of the following.

![Diagram](https://nerd-notes.com/wp-content/uploads/2024/06/Screen-Shot-2024-06-08-at-2.41.10-PM-e1727144418748.png)

**Part a)** The acceleration of the particle when its displacement is 6 m. *(3 points)*

**Part b)** The time taken for the object to be displaced the first 12 m. *(3 points)*

**Part c)** The amount of work done by the net force in displacing the object the first 12 m. *(3 points)*

**Part d)** The speed of the object at displacement x = 12 m. *(3 points)*

**Part e)** The final speed of the object at displacement x = 20 m. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/39391/*