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The graph of position versus time in Figure 2.13 is a curve rather than a straight line. The slope of the curve becomes steeper as time progresses, showing that the velocity is increasing over time. The slope at any point on a position-versus-time graph is the instantaneous velocity at that point.
The graph on which the instantaneous position x of a particle is plotted on the y-axis and the time t on the x-axis is known as the Position-Time graph. Since this article is an explanation of the position-time graph, before digging deep into the details of the topic let us first understand how to draw these graphs. To draw graphs in x-y- plane.
- A body is said to be in uniform motion when it covers equal distance in equal interval of time within a precisely fixed direction.
- A body is said to be in uniformly accelerated motion when its velocity increases by an equal amount in an equal interval of time while travelling i...
- The slope of the position time graph represents the velocity of an object.
- Negative slope of a position-time indicates the velocity of an object moving in the opposite direction.
- A vertical line in a position-time graph would mean that an object is occupying more than one position at same time, hence, it is not possible.
It’s easy to calculate the average velocity of a moving object from a position-time graph. Average velocity equals the change in position (represented by Δd) divided by the corresponding change in time (represented by Δt): vavg = Δd Δt v a v g = Δ d Δ t. For example, in Graph 2 in the Figure above, the average velocity between 0 seconds ...
- 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...
Apr 22, 2023 · The three graphs of motion a high school physics student needs to know are: • Position vs. time graph (x vs. t) • Velocity vs. time graph (v vs. t) • Acceleration vs. time graph (a vs. t) Advertisement. Each of these graphs helps to tell the story of the motion of an object. Moreover, when the position, velocity and acceleration of an ...
We can graph Jill’s position versus time as a useful aid to see the motion; the graph is shown in Figure \(\PageIndex{4}\). Figure \(\PageIndex{4}\): This graph depicts Jill’s position versus time. The average velocity is the slope of a line connecting the initial and final points. Significance
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Learn about position vs. time graphs and how they represent motion in physics.
