Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 1 - No. 47)

Which of the following statements are true regarding the slope of a distance-time graph?
A steeper slope indicates a higher speed.
A horizontal line indicates the object is stationary.
A negative slope indicates a constant deceleration.
The steeper the slope, the slower the object's movement.

Explanation

A steeper slope represents a greater change in distance over time, thus a higher speed. A horizontal line means the distance is not changing, therefore the object is stationary, and a negative slope indicates a negative change in distance (moving backwards, or constant deceleration)

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