A verticle line is impossible. You cannot have different positions at one moment in time.
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A physically impossible line segment on a position versus time graph would be one with a slope representing a speed greater than the speed of light or negative speed (moving backwards in time). These scenarios violate the laws of physics.
The shape of a position versus time graph is parabolic when the object is undergoing constant acceleration. This acceleration results in a quadratic relationship between position and time, forming a parabolic curve.
The slope of the curve.
A physically impossible line segment on a velocity vs. time graph would be one with a horizontal slope, indicating constant acceleration. This would violate the laws of physics, as constant acceleration requires a non-zero force. Similarly, a vertical line segment would represent an instantaneous change in velocity, which is also physically impossible as it would require infinite acceleration.
The slope of a distance versus time graph represents the speed or velocity of an object. A steeper slope indicates a higher speed, while a gentler slope indicates a slower speed. If the slope is negative, it means the object is moving in the opposite direction.
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