Apizza delivery driver must make three stops on her route. she will first leave the restaurant and travel 4 km due north to the first house. the next house is 6 km away at 45° south of west according to her map. the final stop is 5 km away at 60° north of west. what is her displacement from the restaurant to the final stop?

Explanation:

       This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

       Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.

       By simple calculations, we can derive the unit vectors in the directions North, South of West and North of West respectively.

       So Total displacement vector = Sum of individual displacement vectors.

       Displacement vector =

       Magnitude of Displacement =

∴ Total displacement =

this is poiselle's equation from fluid mechanic in physics. mech eng