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Q: What does the slope of a distance-versus-time graph show you about the motion of an object?

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

Velocity as v = ds/dt

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.

It gives the velocity of the object in the radial direction. The graph gives no information whtsoever about motion in a transverse direction.

The distance versus time graph shows the position of the object. The slope of the line shows the velocity of the object. The velocity is the direction and speed of an object. If your slope has a positive slant that means you are going in a positive direction. If the slope has a negative slant your object is going in a negative direction. If your slope is zero (a horizontal line) that means your object has stopped and is about to change directions. In case you didnt know a positive slant looks like this on a graph.... / a negative slant looks like this on a graph.... \ postive is like sloping up a hill negative is like falling down the hill

Related questions

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

The slope of the graph at any point is the object's speed at that time. (Not velocity.)

acceleration.

the slope show the velocity of the object which show its direction and magnitude.

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 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.

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

instantaneous velocity

Yes.

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

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

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