Distance Time and Velocity Time Graph

In the branch of science which is physics, the term motion is the phenomenon in which an object generally changes its position over time. The phenomenon motion is mathematically described in terms of distance, displacement, and velocity plus acceleration than speed and time. When we talk about the object which moves with a speed that is the constant speed at a particular direction that too at regular intervals of time which is known as the uniform motion. For example, we can say that: a bike which is moving in a straight line which is with a speed which is constant.

Distance Time-Graph Explained

Let us now consider a graph which is a graph of distance-time in which the body is moving with motion which is uniform. A body is said to be in motion which is uniform when the body covers the distance which is equal in equal time intervals. Let’s consider a time interval of 1 second we can consider that If a body covers 10 meters in the first 1-second then it should cover 10 meters in every second from thereon. This whole thing will indicate that the body is in uniform motion. Let’s draw or we can say that a graph for motion which is uniform. As in motion which is uniform the graph which is of the distance-time would be a straight line because the distance which is equal is covered in equal units of time.

Velocity Time Graph

Our study of 1-dimensional kinematics has been concerned with the multiple means by which the motion of objects can be represented. Such means include the use of words, the use of diagrams that are the use of numbers, the use of equations, and the graph use. Lesson 4 focuses on the use of velocity versus time graph to describe motion. As we will learn further in our article,  the specific features which are of the motion of objects are demonstrated by the shape and the slope which is of the lines on a velocity vs. time graph. The first part of this lesson involves a study of the relationship which is between the shape of a v-t graph and the object's motion.

If the data of velocity-time for such a car were graphed then the graph which is resulting would look like the graph at the right. Note that a motion actually described as a changing velocity which is positive results in a sloped line when plotted as a graph which is velocity-time. The line of slope which is positive really corresponds to the positive acceleration. Furthermore, we can see that only positive velocity values are plotted and corresponding to a motion with velocity which is positive.

Velocity Time Graph Based on Types of Motion

The graph which is of velocity vs. time for the two types of motion that is the constant velocity and velocity which is changing that is acceleration can be summarized as follows. The shapes that are of the velocity vs. graph of time for these two basic types of motion - that are the constant velocity motion and motion of acceleration that is the changing velocity that reveals a principle which is important. The principle is that the slope of the line which is on a graph of velocity-time reveals very useful information that is about the acceleration of the object. If there is zero acceleration then the zero slope is a horizontal line. 

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Motion Graphs 

In mechanics, the derivative of the graph which is of the position vs. time of an object is equal to the object of velocity. In the International System of Units that is the position which is of the moving object is measured in meters that is relative to the origin.  while on the other hand the time is measured in seconds. The position which is placing position on the y-axis and time on the x-axis the slope which is of the curve is given by:

Velocity Graph

The velocity which is of an object is the rate of change of its position with respect to a frame of reference and is a time function. The velocity is equivalent to a specification that is of the speed of objects and direction of motion that is 60 km/h to the north. The fundamental concept of Velocity is in kinematics, which is the branch of classical mechanics that describes the motion of bodies. The physics velocity is a quantity both the direction and magnitude are needed to define it. The absolute scalar value that is the magnitude which is of velocity is known as the speed which is being a coherent derived unit whose quantity is measured in the SI that is metric system as meters per second m/s or as the base which is SI unit of (m⋅s−1). 

Velocity Graph Example:

For example, we can say that the 5 meters per second is a scalar whereas 5 meters per second east is a vector. If there is a speed change and even the direction or both then the object that has a velocity is changing and it is said to be undergoing an acceleration. The answers to all these questions hinge on one's ability that is to read a graph. Since we know that the graph, which is a graph of velocity-time, would be positive whenever the line lies in the region which is positive above the x-axis of the graph. Similarly, we can say that the velocity would be negative and whenever the line lies in the region which is a region that is negative below the x-axis that is of the graph. 

Plot Distance In Velocity Time Graph

The distance can be determined by plotting the velocity-time graph of a moving body. It can be found by calculating the area under the curve in the graph on both sides. Consider the vertical axis, that is, the y-axis that denotes the velocity while the time is denoted by the x-axis in the graph. 

The Characteristic of the Distance-Time Graph

A distance-time graph is used to calculate the motion of a body. Upon recording the time and the distance of an accelerating body on a graph, the distance and the time can be obtained corresponding to the body in motion. The gradient line is equal to the object’s speed and it can be found in the distance-time graph. The better the gradient line or in other words, the steeper the line is, the faster is the motion of the object. The speed of the object in motion is denoted by the slope of the tangent to the curve at that specific point. 

Importance of Slope

In a velocity-time graph, the slope of the line denotes the acceleration of the object. As mentioned above, if a slope represents zero, which is the acceleration of the object as zero then it is a horizontal line. Similarly, if the slope represents positive acceleration then it is an upward sloping line while a downward sloping line will denote the acceleration as negative. 

Noting the Positive Velocity and Negative Velocity

When an object moves in the positive direction, it is known as the positive velocity and when an object moves in the negative emotion, it is called negative velocity. Upon reading a velocity-time graph carefully, it can be understood that the positive velocity always lies in the positive region of the graph, that is, above the x-axis while the negative velocity lies in the negative region of the graph, that is, below the x-axis of the graph.  However, if the line is found in both the regions of the graph, that is, crossing from the positive region to the negative or vice versa then the object is considered to have changed directions. 

Understanding the Speeding Up and Slowing Down 

If the magnitude of an object is increasing then it is denoted as speeding of the object. In the velocity-time graph, if the line is getting farther from the x-axis then it is understood that the object is speeding up and similarly if the line is nearing towards the x-axis then the object is slowing down.