Question

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

Explanation:

To determine which graph represents an object at rest, we analyze the relationship between position (or velocity) and time. An object at rest has a constant position (if it's a position - time graph) or zero velocity (if it's a velocity - time graph).

• For a position - time graph, a horizontal line (constant position over time) means the object is at rest.
• Graph (a): The line is slightly sloped, so the position is changing, not at rest.
• Graph (b): The curve is increasing, so position is changing (accelerating), not at rest.
• Graph (c): The line is decreasing, position is changing (moving towards the origin), not at rest.
• Graph (d): It's a vertical - like line (maybe a spike), which doesn't represent constant position or zero velocity for an extended time.
• Graph (e): It's a horizontal line, meaning the position (or velocity, if it's a velocity - time graph with zero velocity) is constant. So graph (e) represents an object at rest.

Answer:

e) graph (e)