What are the characteristics of distance time graph for an object moving with a uniform speed?

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What are the characteristics of distance time graph for an object moving with a uniform speed?

What are the characteristics of distance time graph for an object moving with a uniform speed?

What is the characteristic of distance time graph for the motion of an object moving with the constant speed? SEND

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Distance-Time Graph for Uniform Motion

A body is said to be in uniform motion when the body covers the equal distance in equal time intervals. Let’s consider a time interval of 1 second, If a body covers 10 meters in the first 1-second then it should cover 10 meters in every second from there on, this will indicate that the body is in uniform motion. Let’s draw a graph for uniform motion.

As in uniform motion, the distance time graph would be a straight line, because the equal distance is covered in equal units of time.

What are the characteristics of distance time graph for an object moving with a uniform speed?

Distance-Time Graph for Non-uniform Motion

Non-uniform motion is defined as the motion of an object in which the object travels with varied speed and it does not cover the same distance in equal time intervals, irrespective of the time interval duration.

The distance-time graph for non-uniform motion is not a straight line since speed is variable, it can be a curve or a zigzag line.

What are the characteristics of distance time graph for an object moving with a uniform speed?

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What are the characteristics of distance time graph for an object moving with a uniform speed?

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A distance-time graph shows how far an object has travelled in a given time.  It is a simple line graph that denotes distance versus time findings on the graph.

  1. Distance is plotted on the Y-axis.
  2. Time is plotted on the X-axis.

Note: Curved lines on a distance-time graph indicate that the speed is changing.

You may also want to check out these topics given below!

  • Graphs
  • Velocity-Time Graph
  • Linear Graph

Importance of Distance-Time Graph

We deal with the distance-time graph while studying the motion of bodies. If we record distance and time for the motion of a body and plot the same data on a rectangular graph, we will obtain a distance-time graph corresponding to the motion of that body.

Example:

For better understanding, let us consider an example of uniform motion. A bus driver drives at a constant speed which is indicated by the speedometer and the driver measures the time taken by the bus for every kilometre. The driver notices that the bus travels 1 kilometre every 2 minutes.

What are the characteristics of distance time graph for an object moving with a uniform speed?

Data Table

He prepares the data table after this so that he has a clear understanding of everything and then draws the graph as shown below.

What are the characteristics of distance time graph for an object moving with a uniform speed?

By this table, he had a clear idea about the speed which is: ½ × 60 = 30 km/hr.

The graph is a straight line and the motion of the bus is also uniform. Also, from the graph, we can find the speed of the bus at any instant of time. The initial and final position of the car can be found as the following:

Speed = (Final Position-Initial position)/Time

The slope of the line can be found by drawing a rectangle anywhere near the straight line which determines the speed of the bus. If an object is not moving, the distance-time graph results in a horizontal line which shows that the object is at rest.

What are the characteristics of distance time graph for an object moving with a uniform speed?

Conclusion:

The following things can be concluded now:

  • If the distance-time graph is a straight line then the motion is uniform.
  • If the distance-time graph of a body is given, its speed can be calculated using the slope of the graph.
  • The slope of the straight-line graph is the same irrespective of the interval which is chosen. This implies that the speed of an object under uniform motion remains constant.

What is Velocity -Time Graph and Displacement-Time Graph?

What are the characteristics of distance time graph for an object moving with a uniform speed?

A graph is defined as a pictorial representation of information which is a two-dimensional drawing showing the relationship between dependent and independent variables. Independent variables are denoted on the horizontal line known as the x-axis, while the dependent variables are denoted on the vertical line known as the y-axis.

The main components of a 2D graph are x-coordinate and y-coordinate.

Displacement time graph, velocity-time graph, and acceleration time graph are three common types of graphs in classical mechanics.

In the distance-time graph, distance is the dependent variable and is represented on the y-axis, while time is the independent variable and is represented on the x-axis.

The slope of the distance-time graph represents the speed of an object.

What are the characteristics of distance time graph for an object moving with a uniform speed?

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CBSE Class 9 CBSE Class 9 Science

What are the characteristics of distance-time graph for an object moving with a non-uniform speed?

Answer:
The characteristics of distance-time graph for a non-uniform speed are:

  • It is always a curve (parabola).
  • The speed of the moving object at any point is given by the slope of the tangent to the curve at that point.

What are the characteristics of distance time graph for an object moving with a uniform speed?