Answer :
To draw a time-displacement graph for a moving object using the given data, follow these steps:
### Step-by-Step Solution:
1. Extract the given data:
- Time (s): 0, 2, 4, 6, 8, 10, 12, 14
- Displacement (m): 0, 2, 4, 4, 4, 6, 4, 2
2. Set up the graph:
- The x-axis will represent time (s).
- The y-axis will represent displacement (m).
3. Plot the data points on the graph:
- (0, 0)
- (2, 2)
- (4, 4)
- (6, 4)
- (8, 4)
- (10, 6)
- (12, 4)
- (14, 2)
4. Connect the data points:
- Draw a line connecting each consecutive data point to visualize the movement over time.
### Drawing the Graph:
1. Draw the x-axis and label it 'Time (s)'.
2. Draw the y-axis and label it 'Displacement (m)'.
3. Mark the scales on both axes:
- On the x-axis, mark each second from 0 to 14.
- On the y-axis, mark each meter from 0 to 6.
4. Plot the data points:
- Plot (0, 0) by placing a point at the origin.
- Plot (2, 2) by moving 2 units right and 2 units up and placing a point.
- Plot (4, 4) by moving 4 units right and 4 units up and placing a point.
- Plot (6, 4) by moving 6 units right and 4 units up and placing a point.
- Plot (8, 4) by moving 8 units right and 4 units up and placing a point.
- Plot (10, 6) by moving 10 units right and 6 units up and placing a point.
- Plot (12, 4) by moving 12 units right and 4 units up and placing a point.
- Plot (14, 2) by moving 14 units right and 2 units up and placing a point.
5. Connect the data points:
- Draw straight lines between each consecutive point to form the graph.
### Final Graph:
The chart would look something like this (conceptual, not actual drawing):
```
Displacement (m)
^
|
|
| /
| /
| /
| /
| /
| /
| /
| / \
|/ \ /
/
------------------------------->
Time (s)
```
The data points will connect in a fashion that outlines the movement of the object. You'll start at (0, 0), then rise to (4, 4), stay at (4, 4) for the next couple of points, peak at (10, 6), and then descend back to (2, 2).
### Conclusion:
By correctly labeling and marking the scales, plotting the data points accurately, and connecting them, you will have a clear time-displacement graph representing the movement of the object over time.
### Step-by-Step Solution:
1. Extract the given data:
- Time (s): 0, 2, 4, 6, 8, 10, 12, 14
- Displacement (m): 0, 2, 4, 4, 4, 6, 4, 2
2. Set up the graph:
- The x-axis will represent time (s).
- The y-axis will represent displacement (m).
3. Plot the data points on the graph:
- (0, 0)
- (2, 2)
- (4, 4)
- (6, 4)
- (8, 4)
- (10, 6)
- (12, 4)
- (14, 2)
4. Connect the data points:
- Draw a line connecting each consecutive data point to visualize the movement over time.
### Drawing the Graph:
1. Draw the x-axis and label it 'Time (s)'.
2. Draw the y-axis and label it 'Displacement (m)'.
3. Mark the scales on both axes:
- On the x-axis, mark each second from 0 to 14.
- On the y-axis, mark each meter from 0 to 6.
4. Plot the data points:
- Plot (0, 0) by placing a point at the origin.
- Plot (2, 2) by moving 2 units right and 2 units up and placing a point.
- Plot (4, 4) by moving 4 units right and 4 units up and placing a point.
- Plot (6, 4) by moving 6 units right and 4 units up and placing a point.
- Plot (8, 4) by moving 8 units right and 4 units up and placing a point.
- Plot (10, 6) by moving 10 units right and 6 units up and placing a point.
- Plot (12, 4) by moving 12 units right and 4 units up and placing a point.
- Plot (14, 2) by moving 14 units right and 2 units up and placing a point.
5. Connect the data points:
- Draw straight lines between each consecutive point to form the graph.
### Final Graph:
The chart would look something like this (conceptual, not actual drawing):
```
Displacement (m)
^
|
|
| /
| /
| /
| /
| /
| /
| /
| / \
|/ \ /
/
------------------------------->
Time (s)
```
The data points will connect in a fashion that outlines the movement of the object. You'll start at (0, 0), then rise to (4, 4), stay at (4, 4) for the next couple of points, peak at (10, 6), and then descend back to (2, 2).
### Conclusion:
By correctly labeling and marking the scales, plotting the data points accurately, and connecting them, you will have a clear time-displacement graph representing the movement of the object over time.
