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The slope of the curve.


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Q: What property on a position-versus time graph represents speed?
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What interpretation can you derive regarding the motion from the graph of instantaneous speed vs time graph?

At least two things regarding the motion can be interpreted from the graph of speed versus time.The slope of the graph represents the acceleration of the thing being charted.And the net area under the graph represents the position of the thing being charted.Each of these graphed as they change with time, on the same time scale as the original graph or some other one if more convenient.


Does the speed of a position time graph of an object gives the speed of the object?

No, but the slope of the graph does.


Is The slope on a position-time graph is representative of the acceleration of the object?

No. Slope of position/time graph is speed, or magnitude of velocity.Slope of speed/time graph is magnitude of acceleration.


What does a straight line slanting up from left to right on a distance versus time graph show?

It represents that the object is remaining at a fixed distance. Typically that means it is not moving.


What is the slope of the line tangent to the curve on a position-time graph at a specific time?

The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.