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This is easier to understand when the graph is horizontal.
Speed is defined as distance / time. Rearranging the equation: distance = speed x time. In the graph, that would be proportional to the area of the rectangle under the (horizontal) speed line.
If speed is variable, the graph can be approximated by many small rectangles. The same reasoning as above applies to each one. This method - of separating an area into many small parts - is called "integration".
The area under a speed-time graph gives distance because distance traveled is equal to the product of speed and time traveled. By calculating the area under the speed-time graph, you are essentially finding the total distance traveled by integrating the speed function with respect to time.
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How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
Gives a pictorial indication of how far and object has moved?
A distance-time graph can provide a pictorial indication of how far an object has moved. The slope of the graph represents the object's speed, where a steeper slope indicates faster motion. The area under the curve on the graph represents the total distance traveled by the object.
Can a position time graph be created from a velocity time graph?
Yes, a position-time graph can be created from a velocity-time graph by integrating the velocity values over time. By finding the area under the velocity-time curve, you can determine how the position of an object changes over time.
What does the area under a v-t graph give?
distance
What is the physical meaning of the area under the curve of the graph of velocity vs time?
The area under the speed/time graph between two points in time is the distance covered during that time.
How to prove that area under speed time graph gives distance traveled?
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Area under the velocity versus time graph?
Area under velocity versus time graph(between two given instances of time i.e. two points on time axis) gives the displacement of the body( whose graph was plotted) between those two instances i.e. in that time interval. Area under velocity time graph can be found from definite integration if the graph is a curve. Note: Area under velocity versus time graph gives displacement not distance covered by body. Note: Area enclosed between the plotted curve and time axis is taken. For convenience time should be taken in the x-axis.
Force time graph?
A Force-time graph shows the variation of force with respect to time. More usefully the area under such a graph gives the quantity Ft or impulse, which is equal to the change in momentum of an object. Ft = Mv-Mu
How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
Gives a pictorial indication of how far and object has moved?
A distance-time graph can provide a pictorial indication of how far an object has moved. The slope of the graph represents the object's speed, where a steeper slope indicates faster motion. The area under the curve on the graph represents the total distance traveled by the object.
What does the area under an acceleration time graph show?
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
What is the physical quantity measured under a speed time graph?
The physical quantity measured under a speed-time graph is acceleration. This is because acceleration is represented by the gradient of the graph, where a steeper gradient indicates a higher acceleration.
What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
Why is the area under the curve for the force graph equal to the impulse?
It is not, if it is a graph of force against acceleration.
This graph helps to show the relative sizes of quantities under different conditions?
bar graph.
How do you graph y equals 5x-4?
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What shaped graph is associated with polygenic inheritance?
The shaped graph that is associated with polygenic inheritance is a bell curve graph. The majority of these graphs are also combined with a bar graph under the curve.
