Initial position is got by the y-intercept
The y-intercept of a position and time graph represents the position of the object at time zero. It indicates the initial position of the object when the time is zero.
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
To determine displacement from a position-time graph, you can find the difference between the initial and final positions of an object. This is represented by the area under the curve on the graph. The displacement is a vector quantity that indicates the overall change in position of the object.
A stationary object on a distance-time graph will be represented by a horizontal line. This indicates that the object is not changing its position over time and remains at a constant distance from a reference point.
The velocity position time graph is rightward. This can change at anytime.
In such graphs the x-axis is usually (but not always) the time axis. The x-intercept represents the time(s) at which your position is at the starting point - either for the first time or later.
A position-time graph shows the relationship between an object's position and time. The position of the object is typically plotted on the y-axis, while time is on the x-axis. The slope of the graph represents the object's velocity, with a steeper slope indicating a higher velocity.
Speed is represented by the slope of a distance-time graph, where steeper slopes indicate faster speed. Acceleration is represented by the slope of a speed-time graph, where a steeper slope indicates a greater acceleration.
Position-Time GraphYou can graph motion on a position vs time graph. On a position vs time graph, position is on the y-axis and time is on the x-axis. If the velocity is constant, the graph will be a straight line and the slope is average velocity. If the motion is accelerating, the graph will be a curved line.Velocity-Time GraphYou can also graph motion on a Velocity-Time graph. On a velocity vs time graph, velocity is on the y-axis, time is on the x-axis. If the graph is a straight line, velocity is constant and the slope is average acceleration. Also, on a velocity vs time graph, the area under the line is displacement.Refer to the related link for illustrations of the different graphs of motion and their meanings.
The position vs time graph of an object shows its location at different times, while the velocity vs time graph shows how fast the object is moving at those times. The slope of the position vs time graph represents the velocity on the velocity vs time graph.
-- If the position/time graph is a straight line, then the speed is constant, and the slope of the line is the average speed, as well as the instantaneous speed at any moment. -- If the position/time graph is not a straight line, then the average speed between two moments in time is the slope of a straight line drawn between those two points on the graph.
The slope of a position-time graph represents the average velocity of an object. It does not represent the rate of change of velocity, which would be represented by the slope of a velocity-time graph.