5. (3 points) which of the following graphs represent an object at rest? (there could be more than one…

5. (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

5. (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

Answer

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