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 signifies the change in speed, where positive areas indicate an increase in speed and negative areas indicate a decrease. The concept of signed area is crucial, as negative displacement corresponds to areas graphed below the x-axis.
PREREQUISITESStudents of physics, educators teaching kinematics, and anyone interested in understanding motion through graphical analysis.
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: