65km-45km = 20 km to the east. Just replace "east" by "forward" and "west" by "backward" and the answer is immediately visible. The words 'east' and 'west' are just typical math textbook style to veil that it is a simple subtraction that has to be done.
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!
5 miles minus 4 miles is 1 mile East of the starting point. Displacement is a vector quantity, so it must have magnitude and direction.
The total displacement is 8 km.
She has walked 23 miles, but her displacement is only 7 miles.
To find the displacement, we can determine the final position relative to the starting point. The person moves 3 km east, then 3.5 km east (totaling 6.5 km east), and 2 km north. Using the Pythagorean theorem, the displacement is calculated as the hypotenuse of the triangle formed by the eastward and northward distances: ( \sqrt{(6.5^2 + 2^2)} = \sqrt{(42.25 + 4)} = \sqrt{46.25} \approx 6.8 ) km. Thus, the total displacement is approximately 6.8 km at an angle north of east.
Draw a vector from his starting point to his ending point.
Displacement is the shortest straight-line distance from the starting point to the ending point, along with the direction. If you move 1 mile northeast and then 1 mile south, your final position will be approximately 0.5 miles east and 0.5 miles north of your original starting point. Thus, the overall displacement can be calculated using the Pythagorean theorem, resulting in a displacement of about 1.41 miles at an angle of 45 degrees north of east.
To find Mackinzie's total displacement, we can analyze her movement. She walks 4 blocks west, 2 blocks south, 4 blocks east, and then 1 block south. After moving west and then east, her net east-west displacement is 0 blocks. Her total southward movement is 3 blocks (2 blocks + 1 block). Therefore, the magnitude of her total displacement is 3 blocks south.
The resulting displacement can be found by using the Pythagorean theorem: (9 miles)^2 + (7 miles)^2 = c^2 81 + 49 = c^2 c = √130 Therefore, the resulting displacement is approximately 11.4 miles in a northeast direction.
What is the displacement of a car traveling 10 km north 5km east 15 km south and 5 km north?
fu
No. Distance can be greater than displacement, but not less. The magnitude of the displacement between two points is also the minimum possible distance of a path between the same points.However, the displacement can be zero if the distance is not if the object's starting point and ending point are the same.