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The mathematical technique used to calculate the area under a graph is integral calculus. This is a complex subject which I am not going to attempt to explain in detail- it normally takes years of study.

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Q: How do you calculate area under the acceleration time graph?
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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).


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.


What is the area under the un uniform acceleration time graph?

Velocity.


What is the area under a jerk vs time graph?

Since jerk is defined as the derivative (the rate of change) of acceleration, in the case of the area under the curve, it is the other way round: the integral (area under the curve) for jerk is the acceleration.


What does the area under the acceleration-time graph represent?

its the velocity


What does the area under a position vs time squared graph represents?

Nothing in particular. It certainly does not represent acceleration.


How do you calculate the distance in the s-t graph?

The distance covered between two points in time is the area under the graph between the two points.


What does area of acceleration time graph represent?

change in velocity


Velocity is the slope of the displacement vs time graph?

Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.


How can you recognize acceleration on a graph?

You can't. However, you can find the change in speed between two points in time by finding the area under the acceleration-time graph.


What information can be learned from a position-time graph and from a speed-time graph?

A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.


How do you develop the general velocity equation from a Velocity vs Time graph?

Derivitives of a velocity : time graph are acceleration and distance travelled. Acceleration = velocity change / time ( slope of the graph ) a = (v - u) / t Distance travelled = average velocity between two time values * time (area under the graph) s = ((v - u) / 2) * t