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Q: What does the slope of a speed vs. time graph indicate about an objects motion?

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The slope of a speed vs time graph indicates an objects acceleration.

The slope of the speed/time graph is the magnitude (size) of the object's acceleration.

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

The slope of the speed/time graph is the magnitude (size) of the object's acceleration.

instantaneous velocity

It shows the component of velocity in a radial direction. Any motion in a transverse direction is ignored.

The slope of a velocity versus time graph is the acceleration.

It is a measure of speed of the object, but only in the radial direction: that is, towards or away from the point from which distance is measured. The object could be going around that point in circular motion and the graph would show absolutely nothing.

The slope of the distance/time graph is the speed of motion. When the slope is zero, the distance is the same value at every time. Together, they indicate that the speed is zero, and the object is sitting in the same place as time goes on.

"Slope" is the steepness of the line on any graph.

distance = velocity x time so on the graph velocity is slope. If slope is zero (horizontal line) there is no motion

The slope of a position/time graph is the speed (magnitude of velocity).If the graph's slope is changing, that means the speed is changing, andthat would be accelerated motion.

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