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If the graph represents the national debt from 1935 to 1950, then it has

nothing whatsoever in common with the velocity of anything.

If, however, the graph represents the position of a moving object as time passes, then

the slope of the graph is numerically equal to the magnitude of the object's velocity,

which is also its speed.

A graph typically tells nothing about the direction of the object's motion. It it's specifically

drawn to indicate the azimuth (bearing) of the motion at each instant of time, then its

slope is the time derivative of the velocity's direction. I don't know any special catchy

term for that quantity.

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14y ago

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