In the context of capacitors, the area under a current, I, time, t, graph equals the total charged stored on a capacitor.
This area isn't relevant to any practical problem. I don't think there is a special name for it.
The area below the current-time curve in both charging and discharging capacitors represents the total charge held by the capacitor :)
The total distance traveled
distance
If you mean 'measured by the area under the speed/time graph' then this is total distance travelled.
The area under the velocity time graph of an object is equal to the distance travelled by that object in that time. This is because displacement is the integral of velocity with respect to time so integrating velocity from time A to time B will give the displacement from time A to time B. ( Integrating is the same as calculating the area under the graph)
postion is the area under the slope
Distance travelled (displacement). Distance = velocity/time, so velocity * time = distance. Likewise, x = dv/dt so the integral of velocity with respect to time (area under the graph) is x, the distance travelled.
deceleration or negative
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.
This value would represent the value for Power
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.
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
The area of a position-time graph does not have a meaning. However, the area under a velocity-time graph is the displacement. Refer to the related link below for an illustration.
It is not, if it is a graph of force against acceleration.
Displacement is the area under the v-t graph.
The distance travelled over the time period represented by the area under the v-t graph between the end points.
distance
At least two things regarding the motion can be interpreted from the graph of speed versus time.The slope of the graph represents the acceleration of the thing being charted.And the net area under the graph represents the position of the thing being charted.Each of these graphed as they change with time, on the same time scale as the original graph or some other one if more convenient.
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
The area under the speed/time graph between two points in time is the distance covered during that time.