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.
The total is 3
3
20ms east
5.0 km.
She has walked 23 miles, but her displacement is only 7 miles.
Distance 2+3=5 displacement 2
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.
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.
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.
20
20 yards
Displacement is just distance traveled and a direction. For example 40m east is a displacement distance
The magnitude of Sara's total displacement can be found using the Pythagorean theorem. The total displacement is the square root of the sum of the squares of her displacements in each direction, which is √(50^2 + 20^2) = √(2500 + 400) = √2900 ≈ 53.85 yards.