Question

is training for cross country in the fall she ran 5 miles east then she turned and ran 5 miles west. draw and label the vectors that show each segment of her tripand the resulant dispacement vector. find her resulant displacement

Answer 1

5j-5i is her resultant displacement.

velocity in east= 5i

velocity in west=5j

resultant magnitude=√5i+√5j

displacement =5j-5i

Displacement is the shortest distance, but distance is the length of everything covered. A vector quantity with a magnitude and a direction is displacement. The vector (or straight line) separation between an initial and final position is described by this term. Therefore, all that is needed to determine the resulting displacement is to know these two positions.

Calculate the inverse tangent of the ratio of the components of the displacement in the y- and x-directions to find the direction of the displacement vector.

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