Question

1. (3 points) which of the following graphs represent an object at rest? (there could be more than one correct choice.) (a) (b) (c) (d) (e) a) graph a b) graph b c) graph c d) graph d e) graph e

Explanation:

Step1: Understand object - at - rest condition

An object at rest has a constant position over time. In a position - time ($x - t$) graph, this is represented by a horizontal line because the position ($x$) does not change as time ($t$) progresses.

Step2: Analyze each graph

• Graph a: It is a horizontal line. The position of the object does not change with time, so the object is at rest.
• Graph b: It is a non - linear increasing curve. The position of the object is changing with time, so the object is in motion.
• Graph c: It is a decreasing straight line. The position of the object is changing with time, so the object is in motion.
• Graph d: It is a horizontal line. The position of the object does not change with time, so the object is at rest.
• Graph e: It has a non - zero slope for part of it. The position of the object is changing with time, so the object is in motion.

Answer:

A. graph a
D. graph d