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instantaneous magnitude of velocity

Q: What does the slope of distance-versus-time graph represent physically?

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The slope of a distance-time graph represents speed.

The slope of a line on a position vs. time graph would represent the a velocity of the object being described.

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)

The rate of change in accelleration.

Magnitude of acceleration (but conveys no informationregarding acceleration's direction).

Related questions

The slope of a velocity-time graph represents acceleration.

The slope of a velocity-time graph represents acceleration.

The slope of a distance-time graph represents speed.

The slope of a distance versus time graph represents the speed or velocity of an object. A steeper slope indicates a higher speed, while a gentler slope indicates a slower speed. If the slope is negative, it means the object is moving in the opposite direction.

The slope of a line on a position vs. time graph would represent the a velocity of the object being described.

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)

The gradient (slope) of the line on the graph.

If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.

speed

velocity.

The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater rate of change in speed, which means higher acceleration. Conversely, a shallower slope indicates lower acceleration.

The rate of Change in acceleration.