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The slope of a speed/time graph at any point is the acceleration at that instant.

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The slope of a speed-time graph represents the acceleration of the object. A positive slope indicates acceleration in the positive direction, a negative slope indicates acceleration in the negative direction, and a zero slope indicates constant speed.

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Q: What information does the slope of a speed time graph provide?
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What does the slope of the distance time graph give?

The slope of a distance-time graph gives the speed of an object. A steeper slope indicates a higher speed, while a flatter slope indicates a lower speed.


How can you tell if a graph shows an object changing speed?

If the graph of the object's motion shows a slope that is changing over time, then the object is changing its speed. A steeper slope indicates a faster speed, while a flatter slope suggests a slower speed. Additionally, a curve in the graph may indicate acceleration or deceleration, which also implies a change in speed.


How is constant speed represented on a time graph?

On a time graph, constant speed is represented by a straight line with a constant slope. The slope of the line indicates the speed of the object – the steeper the slope, the faster the speed, and the shallower the slope, the slower the speed.


Does the slope of a speed-versus-time graph represents acceleration?

No, the slope of a speed-versus-time graph represents the rate of change of speed, not acceleration. Acceleration is represented by the slope of a velocity-versus-time graph.


If you have a motion graph for an object that shows distance and time. how does the slope of the graph relate to the object's speed?

The slope of the motion graph represents the object's speed. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed. Specifically, the slope is calculated as the change in distance divided by the change in time, which gives you the speed of the object at any given point on the graph.