5. this is a p - t graph of a person moving right and left on a street. 5. complete the data table from the…
5. this is a p - t graph of a person moving right and left on a street. 5. complete the data table from the graph.\n| line segment | direction of motion right or left | distance traveled (m) | displacement of each line (m) (final position - initial position) |\n| ---- | ---- | ---- | ---- |\n| a | right | 3 m | (1 m - -2 m)=+3m |\n| b | | | |\n| c | | | |\n| d | | | |\n| e | | | |\n6. what was the total distance this person walked? show your work!\n7. what was the total displacement of this person? show your work!
Answer
Explanation:
Step1: Analyze line - segment B
The person is at rest as position doesn't change. So, direction is none, distance traveled is 0 m, and displacement is 0 m.
Step2: Analyze line - segment C
The person moves left. Initial position is 1 m and final position is - 1 m. Distance traveled is $|1-(-1)| = 2$ m, displacement is $(-1 - 1)=-2$ m.
Step3: Analyze line - segment D
The person moves left. Initial position is - 1 m and final position is - 2 m. Distance traveled is $|-1-(-2)| = 1$ m, displacement is $(-2-(-1))=-1$ m.
Step4: Analyze line - segment E
The person moves right. Initial position is - 2 m and final position is 2 m. Distance traveled is $|2-(-2)| = 4$ m, displacement is $(2 - (-2)) = 4$ m.
Step5: Calculate total distance
Total distance is sum of distances of all segments: $3 + 0+2 + 1+4=10$ m.
Step6: Calculate total displacement
Total displacement is final position - initial position. Initial position is - 2 m and final position is 2 m. So, total displacement is $(2-(-2)) = 4$ m.
Answer:
| Line Segment | Direction of motion right or left | Distance traveled (m) | Displacement of each line (m) |
|---|---|---|---|
| A | Right | 3 m | + 3 m |
| B | None | 0 m | 0 m |
| C | Left | 2 m | - 2 m |
| D | Left | 1 m | - 1 m |
| E | Right | 4 m | + 4 m |
- Total distance: 10 m
- Total displacement: 4 m