Position time graph is useful only in the case of 1D motion, you can't made a x-t graph for 3D motion (try ;) ). You need extra efforts to do this because you need a time refrence.
So position time graph is valuable for straight line (sometimes 2D) motion only, not for 3D.
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.
If the position is graphed vs time, then the slope (rate of change of position with respect to time) will be the same (parallel).
If a position versus time graph is parabolic, then:Speed versus time is a straight line.Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.The graph of height/time for a stone or a baseballtossed upward is an inverted parabola.
The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.
Slope of time Vs distance graph gives the inverse of velocity.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The position.
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.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
Speed. More specifically... velocity.
magnitude of acceleration at every point on the graph
The slope of a position/time graph is the speed (magnitude of velocity).If the graph's slope is changing, that means the speed is changing, andthat would be accelerated motion.
postion is the area under the slope
If the position is graphed vs time, then the slope (rate of change of position with respect to time) will be the same (parallel).
If a position versus time graph is parabolic, then:Speed versus time is a straight line.Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.The graph of height/time for a stone or a baseballtossed upward is an inverted parabola.
:Troll:
The motion at constant speed.