Math  /  Data & Statistics

QuestionMULTIPLE CHOICE QUESTION
A flat line on a distance/time graph means that
The object moved 4 meters in 3 seconds.
The object is moving at a constant rate
The object is not moving at all here. It is staying at 4 meters from 0 to 3 seconds.
Acceleration is constant here.

Studdy Solution

STEP 1

1. A distance/time graph plots distance on the vertical axis and time on the horizontal axis.
2. A flat line on this graph indicates no change in distance over time.

STEP 2

1. Understand the meaning of a flat line on a distance/time graph.
2. Evaluate each multiple-choice option based on the understanding from step 1.

STEP 3

A flat line on a distance/time graph indicates that the distance is not changing as time progresses. This means the object is stationary during this period.

STEP 4

Evaluate the options:
- **Option 1**: "The object moved 4 meters in 3 seconds." - This implies a change in distance, which contradicts a flat line. Therefore, this is incorrect.
- **Option 2**: "The object is moving at a constant rate." - A constant rate would imply a non-zero slope, not a flat line. Therefore, this is incorrect.
- **Option 3**: "The object is not moving at all here. It is staying at 4 meters from 0 to 3 seconds." - This correctly describes a flat line, where the object remains at a constant distance. Therefore, this is correct.
- **Option 4**: "Acceleration is constant here." - A flat line indicates no movement, hence no acceleration. Therefore, this is incorrect.
The correct answer is:
The object is not moving at all here. It is staying at 4 meters from 0 to 3 seconds. \boxed{\text{The object is not moving at all here. It is staying at 4 meters from 0 to 3 seconds.}}

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