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Can you explain the answer of this question below:
The ______ of a distance versus time graph is speed.
  • A:
    slope
  • B:
    y-intercept
  • C:
    origin
  • D:
    none of the answers
The answer is a.
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Can you explain the answer of this question below:The ______ of a dist...
The Relationship between Distance and Time

When an object moves, it covers a certain distance in a certain amount of time. The relationship between distance and time can be represented on a graph called a distance-time graph.

The Slope of a Distance-Time Graph

The slope of a distance-time graph represents the speed of the object. The slope is defined as the change in distance divided by the change in time. Mathematically, the slope can be written as:

Slope = Change in distance / Change in time

In other words, the slope of the graph gives us the rate at which the distance is changing with respect to time. This rate is the speed of the object.

Interpretation of the Slope

If the slope of the graph is steep, it means that the object is covering a large distance in a short amount of time. This indicates that the object is moving at a high speed.

If the slope of the graph is shallow, it means that the object is covering a small distance in a long amount of time. This indicates that the object is moving at a low speed.

Conclusion

Therefore, the correct answer to the given question is option 'A' - the slope of a distance versus time graph is speed. The slope of a distance-time graph gives us the speed of the object.
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Can you explain the answer of this question below:The ______ of a dist...
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