Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)
Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)
Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)
Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)
The final displacement would be 3 km east of the starting point.
3
The total is 3
What is the displacement of a car traveling 10 km north 5km east 15 km south and 5 km north?
20ms east
She has walked 23 miles, but her displacement is only 7 miles.
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.
To calculate the total displacement, we can break down the student's movements into net east-west and north-south components. The student walks 3 blocks east, 1 block west (net 2 blocks east), and 2 blocks north, then 2 blocks south (net 0 blocks north). Therefore, the total displacement is 2 blocks east, resulting in a final displacement of 2 blocks east.
5 blocks
46 squared + 23 squared = the resultant displacement squared. Pythagoras' theorem.
Sarah's total displacement can be found using the Pythagorean theorem. The horizontal displacement is 20 yards east, and the vertical displacement is 50 yards north minus 50 yards south, which equals 0. This means her total displacement is the square root of (20^2 + 0^2) = 20 yards.
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 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 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.
The postal worker's displacement relative to his truck is the final position minus the initial position. In this case, it would be 194 m due west minus 161 m due east, which results in a displacement of 33 m due west.