An ambitious hiker walks 25 km west and then 35 km south in a day. find the magnitude and direction of the hikers resultant displacement (relative to due west).

Question

Physics

Vicente Pacheco

9 May, 08:29

An ambitious hiker walks 25 km west and then 35 km south in a day. find the magnitude and direction of the hikers resultant displacement (relative to due west).

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Answers (1)

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Darren Mendez · Answer 1

Refer to the diagram shown below.

The resultant displacement, d, is the vector sum of distances traveled west and south.

The magnitude of d is

d = √ (25² + 35²) = 43.012 km

The angle that d makes below due west (or south of west) s

θ = tan⁻¹ (35/25) = 54.5°

Answer:

The resultant displacement is 43.0 km, at an angle of 54.5° south relative to due west.