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.
The slope of a line drawn tangent to a point on a position vs. time graph represents the instantaneous velocity of the object at that point. It describes how the position of the object is changing at that exact moment in time.
When two objects have the same velocity on a position graph, their position vs. time graphs will have parallel lines with the same slope. This indicates that both objects are covering the same distance in the same amount of time, resulting in the same velocity.
you can't....it's merely impossible! Assuming it is a graph of velocity vs time, it's not impossible, it's simple. Average velocity is total distance divided by total time. The total time is the difference between finish and start times, and the distance is the area under the graph between the graph and the time axis.
if the acceleration is constant, then it is a parabola (a=V*t+(at^2)/2). if it isn't, and you are give it's formula in relation to time, then it is possible to find the distance formula by using higher level mathematics(integrals).
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.
The y-intercept on a position vs. time graph represents the initial position where the object started. It is the value of the position when time is zero.
False. Velocity is the slope of a position vs time graph, not a displacement vs time graph. Displacement vs time graphs show how an object's position changes over time, while velocity represents the rate of change of position.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
To create a position vs. time graph, you need to plot the position of an object on the vertical axis and time on the horizontal axis. Record the position of the object at different time intervals and plot these points on the graph. Connect the points with a line to show the object's position changing over time.
To find kinematic variables from a graph of position vs. time, one can calculate velocity by finding the slope of the graph at a specific point, and acceleration by finding the slope of the velocity vs. time graph. Additionally, one can determine displacement by finding the area under the velocity vs. time graph.
The position.
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
To find the position of an object from a velocity vs. time graph, you need to calculate the area under the velocity vs. time curve. This area represents the displacement of the object.
A position vs. time graph showing positive acceleration would be a straight line sloping upwards from left to right.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph