on his way to school jed traveled 100m north, 300m east, 100 m north, 100 m east, 100 m north. find the total distance traveled by jed
determine the displacement made by jed
just add up all the legs of the journey for distance traveled.
then think of a 3-4-5 right triangle. (times 100)
To find the total distance traveled by Jed, we need to add up the distances he traveled in each direction.
1. Jed traveled 100 m north.
2. Jed then traveled 300 m east.
3. After that, Jed traveled 100 m north again.
4. Jed then traveled 100 m east.
5. Finally, Jed traveled 100 m north.
Total distance traveled by Jed = 100 m + 300 m + 100 m + 100 m + 100 m
= 700 m
Therefore, Jed traveled a total distance of 700 meters.
To determine the displacement made by Jed, we need to find the straight-line distance and direction from his starting point to his final point.
1. Jed initially traveled 100 m north from his starting point.
2. Then Jed traveled 300 m east, taking him farther away from his starting point.
3. Next, Jed traveled 100 m north again, bringing him closer to his starting point.
4. After that, Jed traveled 100 m east, moving even farther away from his starting point.
5. Finally, Jed traveled 100 m north, bringing him closer to his starting point.
To find the displacement made by Jed, we can consider his initial position as the origin (0, 0). The final position can be determined by adding the north and east distances.
North distance = 100 m + 100 m
= 200 m
East distance = 300 m + 100 m
= 400 m
The displacement made by Jed = √(200^2 + 400^2) ≈ 447.21 m
Therefore, Jed made a displacement of approximately 447.21 meters.
To find the total distance traveled by Jed, you need to add up the distances traveled in each direction.
1. Jed traveled 100m north.
2. Jed then traveled 300m east.
3. Jed traveled another 100m north.
4. Jed then traveled 100m east.
5. Finally, Jed traveled another 100m north.
To find the total distance traveled, add up these distances:
100m + 300m + 100m + 100m + 100m = 700m
Therefore, Jed traveled a total distance of 700 meters.
Now, let's determine the displacement made by Jed. Displacement is the straight-line distance from the starting point to the ending point.
Starting at the origin (0, 0), Jed traveled 100m north, then an additional 100m north. This means the final position is 100m north of the starting point.
Next, Jed traveled 300m east and then another 100m east. This means the final position is 400m east and 100m north of the starting point.
Using the Pythagorean theorem, we can find the displacement:
Displacement = √((400m)^2 + (100m)^2)
Displacement = √(160,000m^2 + 10,000m^2)
Displacement = √170,000m^2
Displacement ≈ 412.31m
Therefore, Jed's displacement is approximately 412.31 meters.