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Q: What does a curved line on a distance versus time graph tell you?

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The curved line on a time vs. distance graph represents that the object is accelerating.

When there is a curved line going upwards on a graph it means the distance is increasing

Any curved line on a distance/time graph indicates the presence of accelerationthat's causing a change in the magnituide of the velocity. But if the object's speedis constant, and the acceleration is changing its direction only, then the line on theD-T graph would remain straight.In summary:Every curved line on a D-T graph reveals acceleration, but not every accelerationproduces a curved line on a D-T graph.

if the speed is zero then the distance versus time line will be horizontal

You can show the motion of an object on a line graph in which you plot distance versus time.

it is a positive relationship

-- If the distance-time graph is a straight line, then the magnitude of acceleration is zero. -- If the magnitude of acceleration is not zero, then the distance-time graph is curved.

That means the speed (the slope of the position-time graph) is decreasing.

a vertical one

The slope of a line or a distance-vs-time graph will represent the speed of the object.

It is false

Standing still or not moving

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