Search results
When two physical quantities are plotted against one another in such a graph, the horizontal axis is usually considered to be an independent variable and the vertical axis a dependent variable. If we call the horizontal axis the x-axis and the vertical axis the y-axis, as in Figure \ (\PageIndex {1}\), a straight-line graph has the general form.
- Contrasting A Constant and A Changing Velocity
- The Importance of Slope
- Contrasting A Slow and A Fast Motion
- Representing An Accelerated Motion
- Check Your Understanding
To begin, consider a car moving with a constant, rightward (+) velocity- say of +10 m/s. If the position-time data for such a car were graphed, then the resulting graph would look like the graph at the right. Note that a motion described as a constant, positive velocity results in a line of constant and positive slope when plotted as a position-tim...
The shapes of the position versus time graphs for these two basic types of motion - constant velocity motion and accelerated motion (i.e., changing velocity) - reveal an important principle. The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. It is often said, "As the slo...
Consider the graphs below as example applications of this principle concerning the slope of the line on a position versus time graph. The graph on the left is representative of an object that is moving with a positive velocity (as denoted by the positive slope), a constant velocity (as denoted by the constant slope) and a small velocity (as denoted...
As a final application of this principle of slope, consider the two graphs below. Both graphs show plotted points forming a curved line. Curved lines have changing slope; they may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope. In either case, the curved line of changing slope is a sign o...
Use the principle of slope to describe the motion of the objects depicted by the two plots below. In your description, be sure to include such information as the direction of the velocity vector (i.e., positive or negative), whether there is a constant velocity or an acceleration, and whether the object is moving slow, fast, from slow to fast or fr...
Graphs are often the best way to convey descriptions of real world events in a compact form. Graphs of motion come in several types depending on which of the kinematic quantities (time, position, velocity, acceleration) are assigned to which axis.
When two physical quantities are plotted against each other, the horizontal axis is usually considered the independent variable, and the vertical axis is the dependent variable. In algebra, you would have referred to the horizontal axis as the x -axis and the vertical axis as the y -axis.
Mar 31, 2022 · Motion graphs allow scientists to learn a lot about an object’s motion with just a quick glance. This article will cover the basics for interpreting motion graphs including different types of graphs, how to read them, and how they relate to each other.
We did this for simple harmonic motion. In this case, plotting θ(t) gave us a sinusoidal curve while plotting these pairs gave us circles. This second plot is sometimes called a ‘phase-plane plot’; with a raw data set of pairs (xi,yi), it is called a ‘scatter plot’. To see what this does for us, write v(t) for the time derivative θ ...
People also ask
What is a graph of motion?
How do I plot a motion axis in AutoCAD?
What are the different types of graphs of motion?
How does a position vs time graph demonstrate the motion of objects?
Is there a fourth graph of motion that relates velocity to position?
Why do scientists use Motion Graphs?
Learning Objectives. Explain the concept of reference frames. Write the position and velocity vector equations for relative motion. Draw the position and velocity vectors for relative motion. Analyze one-dimensional and two-dimensional relative motion problems using the position and velocity vector equations.
