The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
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.
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 an acceleration-time graph is equal to the object's velocity (not change in velocity).
It is not, if it is a graph of force against acceleration.
The area under a force-distance graph represents the work done. It is equal to the force applied multiplied by the distance moved in the same direction as the force.
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)
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.
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
To find the displacement from a negative velocity-time graph, you need to calculate the area under the curve for the portion representing displacement. If the velocity is negative, the displacement will be in the opposite direction. The magnitude of the displacement is equal to the absolute value of the area under the curve.
The work done is equal to the area under the curve on a force versus displacement graph. To find the work, calculate the area of the shape(s) represented by the graph. This can be done by breaking down the shape into simpler geometrical shapes and calculating their areas.
The area under a position-time graph represents the displacement of an object. It is calculated by finding the area between the curve of the graph and the time axis. The units of the area will be in distance units (e.g., meters, kilometers).
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.
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.