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A change in the slope of a location-time graph of an object indicates a change in the radial component of its speed.

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Normally a position-time graph is actually a distance-time graph where the distance of an object is measured from a fixed point called the origin.

The slope (gradient) of the graph is the radial velocity - or the component of the velocity in the radial direction - of the object. That is, the component of the object's velocity in the direction towards or away from the origin.

Such a graph cannot be used to measure the component of the velocity at right angles to the radial direction. In particular, an object going around in a circle would appear t have no velocity since its distance from the origin remains constant.

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It is not a suitable form of graph. A circle graph can be used for showing the relationship between a variable and its component parts. It is not suitable for illustrating changes with height.

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Yes. If it was disconnected, you could remove an edge from the component with the lower chromatic number. This wouldn't affect the chromatic number of the first component.

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