To determine the displacement of the walker, we can use the Pythagorean theorem. The walker travels 4 km east and 3 km north, forming a right triangle with these two legs. The displacement (d) is the hypotenuse, calculated as ( d = \sqrt{(4^2 + 3^2)} = \sqrt{16 + 9} = \sqrt{25} = 5 ) km. Therefore, the displacement of the walker is 5 km in a direction northeast.
To determine Mark's total displacement, you can use the Pythagorean theorem. He walked 2 miles east and 1 mile north, forming a right triangle where the legs are 2 miles and 1 mile. The displacement is the hypotenuse, calculated as √(2² + 1²) = √(4 + 1) = √5, which is approximately 2.24 miles in a northeast direction.
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
To determine Jason's total displacement, you can use the Pythagorean theorem. He hiked 1 mile north and then 1 mile west, forming a right triangle where the legs are both 1 mile. The displacement is the hypotenuse of this triangle, calculated as ( \sqrt{(1^2 + 1^2)} = \sqrt{2} ), which is approximately 1.41 miles in a northwest direction.
Indeed it is.
subtract 1 from 2
To determine Mark's total displacement, you can use the Pythagorean theorem. He walked 2 miles east and 1 mile north, forming a right triangle where the legs are 2 miles and 1 mile. The displacement is the hypotenuse, calculated as √(2² + 1²) = √(4 + 1) = √5, which is approximately 2.24 miles in a northeast direction.
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.
The displacement is a shortest distance. Here, the displacement will be 1 km. It will be in the North direction.
south
The displacement is a shortest distance. Here, the displacement will be 1 km. It will be in the North direction.
The displacement is a shortest distance. Here, the displacement will be 1 km. It will be in the North direction.
To determine Jason's total displacement, you can use the Pythagorean theorem. He hiked 1 mile north and then 1 mile west, forming a right triangle where the legs are both 1 mile. The displacement is the hypotenuse of this triangle, calculated as ( \sqrt{(1^2 + 1^2)} = \sqrt{2} ), which is approximately 1.41 miles in a northwest direction.
Indeed it is.
It's 17.0m North. (20N - 3S)
The displacement of the car is 50 km North. Displacement is a vector quantity that represents the shortest distance and direction from the initial to the final position of an object.
5 km North