The cyclist's displacement is the straight-line distance from their starting point to their final position. After traveling 1 mile north and then 1 mile east, the cyclist is located at the coordinates (1 mile east, 1 mile north). Moving 1 mile south returns them to the same latitude as their starting point, resulting in a final position of 1 mile east of the starting point. Therefore, the displacement is 1 mile east.
The cyclist ends up 1 mile east of the starting point (unless the cycling takes place near the north or south pole!). So the displacement is 1 mile in an easterly direction.
3 blocks east
2
To find the total displacement, we can break it down: the 4 km south and the 2 km north result in a net displacement of 2 km south (4 km south - 2 km north = 2 km south). Then, adding the 5 km north gives a total displacement of 3 km north (2 km south + 5 km north = 3 km north). Therefore, the total displacement is 3 km north.
south
1 mile East
The cyclist ends up 1 mile east of the starting point (unless the cycling takes place near the north or south pole!). So the displacement is 1 mile in an easterly direction.
3 blocks east
2
The total distance traveled (corresponding to the amount of gas the car would burn on such a trip) is 26 meters.The magnitude of the displacement vector = (Dfinal - Dinitial) = 4 meters north.
The car has traveled a total distance of 18 miles (10 miles south + 8 miles north), but its displacement is 2 miles south. Displacement is the shortest distance between the starting and ending points, regardless of the actual path taken.
The displacement of the car is 5 km to the east.
Well, honey, the person traveled a total distance of 5 miles. Their displacement, on the other hand, is the shortest distance from their starting point to their end point, which you can calculate using the Pythagorean theorem. So grab your calculator and get to work, darling!
The Phoenicians traveled to many countries at the coast of the Mediterranean Sea. They first traveled to Egypt, then traveled along the north coast of Africa until they landed at the Phoenician colony of Carthage. Again they set sail, passing through the strait of Gibraltar and heading north along the coast of Spain, staying close to the coast of Europe, they finally steer for the remote island of Britain.
2
The displacement of the hiker can be found by treating the eastward and northward movements as vectors. Using the Pythagorean theorem, the displacement is the square root of the sum of the squares of the distances traveled in each direction. In this case, the displacement is √(3.0 km)^2 + (4.0 km)^2 = √(9 km^2 + 16 km^2) = √25 km^2 = 5.0 km. Therefore, the displacement of the hiker is 5.0 km in a direction that is 53.1 degrees north of east.
To find the total displacement, we can break it down: the 4 km south and the 2 km north result in a net displacement of 2 km south (4 km south - 2 km north = 2 km south). Then, adding the 5 km north gives a total displacement of 3 km north (2 km south + 5 km north = 3 km north). Therefore, the total displacement is 3 km north.