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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A line segment with a negative slope on a position versus time graph would be physically impossible because it would imply that the object is moving backward in time. Additionally, a vertical line segment on a position versus time graph would be physically impossible as it would indicate an infinite speed, which is not feasible in real-world scenarios.
a verticla line
A vertical line segment on a velocity versus time graph represents an instantaneous change in velocity, which is physically impossible. It would mean that an object goes from one velocity to another instantly, without any acceleration. In reality, objects need time to change their velocity due to the presence of acceleration or deceleration.
The position versus time graph is parabolic.
instantaneous magnitude of velocity
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.
Assuming position is on the y axis and time is on the x axis, a positive slope means the position has increased over time.
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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.
That means the speed (the slope of the position-time graph) is decreasing.
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