Constant velocity
Zero acceleration and/or Moving object
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A displacement versus time graph shows how an object's position changes over time. It can provide information about the object's speed, direction of motion, and whether it is accelerating or decelerating. The slope of the graph represents the object's velocity.
Displacement is a vector, which means that at some point in time an object was displaced from its original origin. Velocity is a vector, which records the rate of change of a displaced object, typically on a time graph.
The graph is plotted on a coordinate plane in which time is measured along the horizontal axis. The origin is t[usually] he reference position of the object at time 0. For any point in time, the graph is a plot of the distance of the object from the origin at that time - measured only in the radial direction.
The plot is incapable of showing any motion in a transverse direction. As a result, the plot for a stationery object is the same as one for an object rotating around the origin at varying speeds!
If the constant velocity is in a positive direction, the slope of a displacement-time graph will be a straight line with a positive slope, and the slope of the line will be the 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.
A graph that shows speed versus time is not an acceleration graph.The slope of the graph at any point is the acceleration at that time.A straight line shows that the acceleration is constant.
To calculate distance from a velocity time graph, find the area under the velocity-time curve. If the graph is above the time axis, sum the areas of each individual shape formed between the curve and the time axis. If the graph is below the time axis, subtract the areas of the shapes below the time axis from the areas above the time axis.
Yes, a position-time graph can tell you the direction of the displacement of an object. If the slope of the graph is positive, the object is moving in the positive direction. If the slope is negative, the object is moving in the negative direction.
The slope of the curve.