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- 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 of accelerated motion (i.e., changing velocity).
www.physicsclassroom.com/class/1DKin/Lesson-3/The-Meaning-of-Shape-for-a-p-t-GraphPosition-Time Graphs: Meaning of Shape - The Physics Classroom
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 slope goes, so goes the velocity." Whatever characteristics the velocity has, the slope will exhibit the same (and vice versa).
The shapes of the velocity vs. 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 velocity-time graph reveals useful information about the acceleration of the object.
Mar 31, 2022 · 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. Interpreting motion graphs, such as position vs time graphs and velocity vs time graphs, requires knowledge of how to find slope.
The graph of displacement versus time in Figure \(\PageIndex{3a}\) 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 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.
Apr 22, 2023 · Motion graphs, aka kinematic curves, are a common way to diagram motion in physics. The three motion graphs a high school physics student needs to know are: position vs. time (x vs. t), velocity vs. time (v vs. t), and acceleration vs. time (a vs. t). The shapes of each graph relate by slope.
As in the previous graphs lets use units to determine what the area under the curve means. Finding area means we multiply acceleration (the y-axis), by the time (x-axis). So in terms of units that is m/s 2 x s.
