![]() ![]() The change in velocity of the body with time is represented by the velocity-time graph. To calculate the velocity of the object, we use the following formula: The slope of the displacement-time graph gives the velocity of the object. The displacement-time graph of a body moving with non-uniform velocity is shown in the figure below. In this case, the displacement-time graph will be a curved line. When an object covers unequal distances in equal intervals of time in a particular direction or when it is changing its direction of motion, then it is said to be moving with a non-uniform velocity. Displacement-time Graph for a Body Moving with Non-uniform Velocity The displacement-time graph of a body moving with uniform velocity will be a straight line inclined to some angle with the time axis, as shown in the figure below.ģ. When an object covers equal distances in equal intervals of time and travels in a straight line, the object travels with a uniform velocity. Displacement-time Graph for a Body Moving with Uniform Velocity The figure shown below represents the displacement-time graph for a body at rest.Ģ. The displacement-time graph for a stationary body will be a straight line parallel to the time axis. Displacement-time Graph for a Body at RestĪn object is said to be at rest when it does not change its position with respect to time. The displacement-time graph represents the change in the position of an object with respect to time. In a displacement-time graph, the displacement is plotted on the \(Y\)-axis, and the time is plotted on the \(X\)-axis. ![]() The three main types of graphical representation of motion are displacement versus time graph, velocity versus time graph, and acceleration versus time graph. Types of Graphical Representation of Motion The graphical representation of motion is a method of representing a set of variables (physical quantities) pictorially with the help of a line graph where one physical quantity depends on the other physical quantity. Graphical Representation of Motion – Definition It also gives an idea of whether the motion of the object is uniform or non-uniform. Graphs are extremely useful in examining a body’s linear motion.įor example, the slope of a displacement-time graph indicates the velocity (and speed) with which the object is moving. This approach to expressing an object’s motion makes it simple to examine the change in the many physical quantities of an object in motion. It is a convenient way to describe the nature of an object’s motion. Graphical representation of motion uses graphs to represent an object’s motion. What is Graphical Representation of Motion? Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Paul Peter Urone, Roger Hinrichs Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, ![]() Want to cite, share, or modify this book? This book uses the The velocity increases until 55 s and then becomes constant, since acceleration decreases to zero at 55 s and remains zero afterward. 0 m/s 2 to zero when the car hits 250 m/s. (This was the final velocity of the car in the motion graphed in Figure 2.48.) Acceleration gradually decreases from 5. Time again starts at zero, and the initial velocity is 165 m/s. Now consider the motion of the jet car as it goes from 165 m/s to its top velocity of 250 m/s, graphed in Figure 2.51. Graphs of Motion Where Acceleration is Not Constant Further experiments are then performed to determine the validity of the hypothesized relationships. From such graphs, mathematical relationships can sometimes be postulated. Correlations imply physical relationships and might be shown by smooth graphs such as those above. In fact, an important way to discover physical relationships is to measure various physical quantities and then make graphs of one quantity against another to see if they are correlated in any way. It is not accidental that the same equations are obtained by graphical analysis as by algebraic techniques. Notice that this equation was also derived algebraically from other motion equations in Motion Equations for Constant Acceleration in One Dimension. A general relationship for velocity, acceleration, and time has again been obtained from a graph.
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