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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".
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MaxineThe 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.
