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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 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.
How can one determine velocity from an acceleration-time graph?
To determine velocity from an acceleration-time graph, you can find the area under the curve of the graph. This area represents the change in velocity over time. By calculating this area, you can determine the velocity at any given point on the graph.
What does the area under the acceleration-time graph represent?
The area under the acceleration-time graph represents the change in velocity over a given time interval. It provides information about how the velocity of an object changes over time, with positive area indicating acceleration and negative area indicating deceleration.
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 is above the line acceleration time graph?
An above the line acceleration time graph indicates that the object is experiencing positive acceleration, meaning its speed is increasing over time. The area above the time axis represents the magnitude of acceleration, while the duration of time corresponds to how long this acceleration is sustained. If the graph has a constant value, the acceleration is uniform; if it varies, the acceleration is changing. This type of graph is useful for analyzing motion and understanding how forces are acting on an object.
How do you calculate area under the acceleration time graph?
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.
What does the area under a position vs time squared graph represents?
Nothing in particular. It certainly does not represent acceleration.
Is displacement the slope of the velocity vs time graph?
No, displacement is the area under the velocity vs. time graph. The slope of a velocity vs. time graph represents acceleration.
What is the nature of velocity time graph for uniform retardation?
The velocity-time graph for uniform retardation is a straight line with a negative slope. The velocity decreases uniformly over time until it reaches zero. The area under the graph represents the displacement of the object.
What does area of acceleration time graph represent?
change in velocity
