Distance Time and Velocity Time Graph

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Distance Time Graph for Uniform Motion

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 then speed and time. When we talk about the object which moves with a speed which is 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 which is 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 there on. 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.

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Velocity Time Graph

Our study of 1-dimensional kinematics has been concerned with the multiple means that is by which the motion of objects can be represented. Such means which include the use of words that are 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 that  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 that involves a study of the relationship which is between the shape of a v-t graph and the object's motion.

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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 which is 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 reveal a principle which is important. The principle which 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 that is a horizontal line. 

Motion Graphs

In mechanics that is the derivative which is 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:

v = ∆y/ ∆x = ∆s/ ∆t

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Velocity Graph

The velocity which is of an object is we can define as 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 a speed of object's and direction of motion that is 60 km/h to the north. The fundamental concept which is of Velocity is in kinematics that is the branch of classical mechanics that describes the motion of bodies.

The physics velocity is a quantity both of the direction and magnitude are needed to define it. The absolute scalar value that are 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 that 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 the 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 which is negative below the x-axis that is of the graph. 

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FAQ (Frequently Asked Questions)

Q1. Explain how You Find Velocity on a Time Graph?

Ans: By actually using the equation of slope 

Pick at least two points which are on the line and determine their coordinates.

  1. The determine the difference which is in y-coordinates for these two points that rise.

  2. Next determine the difference which is in x-coordinates for these two points run.

  3. Then next divide the difference which is in y-coordinates by the difference in x-coordinates rise/run or slope.

Q2. Explain the difference between distance Time Graph and Velocity Time Graph.

Ans: The difference is said to be much greater. Distance time graph that tells us how much distance you have travelled while the velocity time graph tells you your acceleration.

Q3. Explain what does the Slope of the Velocity Time Graph Give.

Ans: What does the slope actually represent on a velocity graph? The slope which is of a graph velocity represents the object's acceleration. So we can say that the value of the slope at a particular time represents the acceleration of the object at that instant.

Q4. Explain what Constant Velocity looks like on a Graph.

Ans: If we see that the velocity is constant then the slope is constant that is a straight line. If the velocity which we talked about is changing then the slope is changing  that is a curved line. If the velocity is positive then the slope that is positive we can say moving upwards and to the right. This very principle that can be extended to any of the motion conceivable.