Sign of Area Under Velocity v. Time Graph: Help Me!

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The discussion clarifies the physical meaning of the area under velocity versus time and acceleration versus time graphs. The area under a velocity-time graph represents displacement, with positive values indicating movement in the positive direction and negative values indicating movement in the negative direction. Similarly, the area under an acceleration-time graph reflects changes in speed, where positive areas indicate an increase in speed and negative areas indicate a decrease. If displacement is negative, the area would indeed be represented below the x-axis on a graph. Understanding these concepts is crucial for interpreting motion in physics.
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:confused: what is the physical meaning of the sign of the area under a velocity v. time graph (displacement) ??

what is the physical meaning of the sign of the area under a acceleration
v. time graph (velocity) ??

:confused:
please help me
 
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I'm not quite sure what you mean: area is always positive. Assuming you mean "signed" area (a bit of a strange terminology), the area under the velocity v time graph is "displacement"- distance moved. If that is positive, then you have moved in the positive direction, if negative you have moved in the negative direction.

"Area" under the acceleration v time graph is change in speed. If that is positive, speed has increased, if negative, speed has decreased.
 
ok i see, but let's say we have negitive displacement, does that mean the "area" would be graphed below the x-axis on a graph ?
 
bigbasherboy said:
ok i see, but let's say we have negitive displacement, does that mean the "area" would be graphed below the x-axis on a graph ?
Yes, because velocity "v" would be negative ("under the x-axis"), and the integral would yield a negative value (or "area") for displacement.


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