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The slope (technically, the slope of the tangent at each point) of a distance-time graph gives the instantaneous velocity.

Therefore, if the graph has a constant slope - i.e. it is a straight line - then that indicates a constant velocity (zero acceleration).

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13y ago

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How is constant speed represented on a distance time motion graph?

On a distance-time graph, a constant speed is represented by a straight, diagonal line with a constant slope. This slope indicates that the object is covering the same distance for each unit of time, meaning its speed is consistent throughout the motion.


How is constant speed represented on a time graph?

On a time graph, constant speed is represented by a straight line with a constant slope. The slope of the line indicates the speed of the object – the steeper the slope, the faster the speed, and the shallower the slope, the slower the speed.


How is speed and acceleration represented on a graph?

Speed is represented by the slope of a distance-time graph, where steeper slopes indicate faster speed. Acceleration is represented by the slope of a speed-time graph, where a steeper slope indicates a greater acceleration.


Is it true that a straight diagonal line on a distance versus time graph indicates a constant speed?

Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.


Where is acceleration represented on a distance verses time squared graph?

In general, nowhere, because acceleration is the second derivative of distance with respect to time. However, in the special case of a constant acceleration, the acceleration will be twice the slope of the line, since distance = 0.5 * time squared.


How is acceleration represented on a graph?

Acceleration is represented on a graph by the slope of the velocity-time graph. A positive slope indicates acceleration in the positive direction, while a negative slope indicates acceleration in the negative direction. A horizontal line on the graph represents constant velocity, with zero acceleration.


How can different constant speeds be shown on a distance-time graph?

On a distance-time graph, different constant speeds would be represented by straight lines which have different slopes. The steeper the line, the faster the speed. Each line would have a constant slope to indicate a constant speed.


A distance-time graph of constant speed looks like this?

The graph is a straight line. Its slope is the speed.


How constant speed graphed?

A constant speed is represented on a graph as a straight line with a constant slope. The slope of the line indicates the speed of the object; a steeper slope corresponds to a faster speed, while a gentler slope corresponds to a slower speed. The y-axis typically represents the distance traveled, and the x-axis represents time.


If the slope of a line on a distance time graph is 1 the speed of the object plotted is?

constant


What is represented by the area under the slope line on a speed time graph?

That's the distance covered.


Does a straight diagonal line on a distance versus time graph indicate constant speed?

Yes. Speed is the rate at which distance changes over time. In calculus terms v = dx/dt, or the slope of the distance vs. time graph. If the slope of the distance vs. time graph is a straight line, the speed is constant.