The slope of a position vs time graph represents the velocity of the object. So in ~ a offered moment, the slope shows the object's velocity at the point. Remember that velocity is a vector quantity. It way it has actually both magnitude and also direction. The size of velocity is likewise termed together speed. Due to the fact that this is only came to with objects relocating in a right line, the just two directions that should be tackled are forward and also backward. If the velocity is positive, then the displacement that the object is in forward direction. If the velocity is negative, climate the displacement that the object is in backward.

You are watching: What does the slope of a position time graph represent

Before expertise the slope of position-time graph in detail, the is necessary to recognize the slope.

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## Slope crucial Points

·The bigger the slope, the steeper the line.

·A line that that move up and to the appropriate represents a positive slope. In various other words, in a optimistic slope, as x increases, y additionally increases, as shown below:

·A line the moves down and to the ideal represents a negative slope. In various other words, in a an unfavorable slope, as x increases, y decreases, as presented below:

·The horizontal line represents a zero slope.

·For a upright line, the slope is undefined.

## Reading position vs Time Graph

Usually because that graphs to it is in plotted in XY-plane, the independent change in the graph is represented on the horizontal axis and the dependent variable is stood for on the vertical axis.

In Position-Time graph, Time is the elevation variable and displacement the the object is the dependent variable which relies on time. The vertical axis represents the position of the object and the horizontal axis represents the moment taken through the object. The steep is defined as rise over Run. “Rise” is the adjust in position with time which is likewise referred together displacement and also “Run” is the readjust in time. Therefore, slope in place vs Time Graph to represent the adjust in position over the adjust in time i m sorry is also called velocity. Hence, slope to represent the velocity of an object in position vs Time Graph.

## Interpretation of place vs Time Graph based upon the slope

•Position vs Time Graph v Zero Slope: If the position vs Time graph for things at rest is plotted, it will certainly be a horizontal line for which steep is zero. It suggests that the velocity of the object is zero.

•Position vs Time Graph having actually a consistent and optimistic Slope: If the position vs Time graph for an object that is moving with uniform rate in forward direction is plotted, it will be a straight line with a confident slope. It shows that the velocity that the object is constant and the is relocating in forward direction. For a straight-line graph that position, the slope to represent the average velocity the the object.

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•Position vs Time Graph having actually a constant and an unfavorable Slope: If the position vs Time graph for an item that is relocating with uniform speed yet in behind direction is plotted, it will be a right line with an adverse slope. It shows that the velocity the the object is constant and the thing is relocating in behind direction. Because that a straight-line graph that position, the slope to represent the average velocity of the object.

•Position vs Time Graph having actually a Varying and Positive Slope: Both the graphs call you the the object is speeding up because the heat is in the form of a curve and is walk up. Because the slope is transforming at every circumstances which shows that speed is transforming with time and the change of speed with time is referred to as acceleration.

Here, the steep of the tangent attracted at any suggest to the curve gives the instantaneous velocity the the object.

Hence, it can be noted that the shape of the heat on the place time graph (straight, curving, steeply sloped, mildly sloped, etc.) explains various information around the motion of the object.

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