By taking suitable example, describe how a distance-time...

Name: Problem 7, Chapter 2: Physics Class 7
Uploaded: 2021-06-22T14:35:55-08:00
Duration: 2 min 28 s
Channel: Darshan Maheshwari
Description: By taking suitable example, describe how a distance-time graph is plotted. S. No. Time (s) Distance (m) 1 0 0 2 1 5 3 2 10 4 3 15 5 4 20 6 5 25 7 6 30

By taking suitable example, describe how a distance-time graph is plotted.
$$
\begin{array}{ccc}
\hline \text { S. No. } & \text { Time (s) } & \text { Distance (m) } \\
\hline 1 & 0 & 0 \\
2 & 1 & 5 \\
3 & 2 & 10 \\
4 & 3 & 15 \\
5 & 4 & 20 \\
6 & 5 & 25 \\
7 & 6 & 30 \\
\hline
\end{array}
$$

Key Concepts

Distance-Time Graph

A distance-time graph is a visual representation where the horizontal axis (x-axis) represents time and the vertical axis (y-axis) represents distance. It is used to illustrate how an object's position changes over time, making it easier to analyze and understand its motion.

Axes and Scale

Setting up the axes properly is crucial when plotting a distance-time graph. The time axis (x-axis) and the distance axis (y-axis) must have appropriate scales chosen to clearly display the relationship between time and distance. This ensures that the graph accurately reflects the real-world scenario being depicted.

Plotting Data Points

Data points on the graph are obtained by correlating the time values with the corresponding distance values. Each pair of time and distance is marked as a point on the graph. The accuracy of these points is essential for correctly interpreting the object’s motion over time.

Slope and Speed

The slope of the line in a distance-time graph is a key indicator of an object’s speed. A steeper slope represents a faster speed, while a flatter slope indicates a slower speed. For constant speed, the graph will display a straight line, whereas changes in speed, such as acceleration or deceleration, will result in a curved graph.

Graphical Interpretation

Interpreting the graph involves understanding the relationship between the plotted points. A consistent linear relationship suggests uniform motion, while any deviations or curves can indicate acceleration, deceleration, or other changes in motion. This interpretation is fundamental in analyzing real-world motion scenarios.

Transcript

0:00 About question 71.

00:02 So we have to describe that how a distance time graph can be plotted in this case.

00:07 So the first observation which we have is if it moves from the first one second then the distance covered is five meters.

00:16 For the next one second as well it moves from five to ten meters.

00:20 So this means that the distance covered in the duration from t equal to one to two seconds it has again traveled for five meters and so on.

00:29 This pattern continues.

00:31 For every one second, it is moving for five units or five meters.

00:36 It means that since equal distance is covered in equal interval of time, it means that the graph would be a straight line.

00:43 Now, in order to plot a graph, we'll first draw the coordinate plane.

00:48 So these are the two vertical and these are the vertical and the horizontal axis.

00:54 The x -axis would be the axis where the time would be plotted and the y -axis would be where the distance is plotted and now we'll plot the points one by one.

01:04 It starts from 0 .0 which is the origin then at the x -axis will mark one one centimeter let's say as one unit so it's one two three four five six so this is the time one second and this is the time in seconds so that's one two three four five six on the y axis we are going to mark one unit as five meters.

01:30 So this is 5, this is 10, 15, 20, 25, and 30.

01:36 So this is 5, 10, 15, 20, 25, and 30...

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