A hiker’s displacement relative to camp is described by the components (east) and (south)

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A hiker’s displacement relative to camp is described by the components Δx=+25 m\Delta x =+25\,\text{m} (east) and Δy=−40 m\Delta y =-40\,\text{m} (south). Which of the following gives the magnitude of this displacement and its direction? (a) 47 m47\,\text{m} at 58∘58^{\circ} north of east (b) 65 m65\,\text{m} at 32∘32^{\circ} south of east (c) 47 m47\,\text{m} at 58∘58^{\circ} south of east (d) 47 m47\,\text{m} at 32∘32^{\circ} south of east

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