what is the physical meaning of the sign of the area under a velocity v. time graph (displacement) ??Yes, because velocity "v" would be negative ("under the x-axis"), and the integral would yield a negative value (or "area") for displacement.bigbasherboy said:
The sign of the area under a velocity vs. time graph represents the direction of the motion. If the area is above the x-axis, the object is moving in the positive direction. If the area is below the x-axis, the object is moving in the negative direction.
The sign of the area is determined by the direction of the velocity and the shape of the graph. If the velocity is positive and the graph is above the x-axis, the area will be positive. If the velocity is negative and the graph is below the x-axis, the area will be negative.
Yes, the sign of the area can change on a velocity vs. time graph. This can happen if the direction of the motion changes. For example, if an object is initially moving in the positive direction, the area will be positive. But if the object changes direction and starts moving in the negative direction, the area will become negative.
The sign of the area under a velocity vs. time graph can tell us about the direction of an object's motion and whether it is speeding up or slowing down. It can also be used to calculate the displacement of an object.
Understanding the sign of the area under a velocity vs. time graph is useful in analyzing an object's motion and predicting its future path. It can also be used to calculate important quantities such as displacement, velocity, and acceleration.