Physics
MT196143
27

A dog searching for a bone walks 3.5 m south, then 8.2 m at an angle of 30.° north of east, and finally 15 m west.  What was the dog's resultant displacement.

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(1) Answers
steph2

First, we resolve the diagonal movement in to components of north and east. north = 8.2sin(30) north = 4.1 m east = 8.2cos(30) east = 7.1 Vertical movement: 4.1 - 3.5 = 0.6 m north Horizontal movement: 15 - 7.1 = 7.9 m west Magnitude = √(0.6² + 7.9²) Magnitude = 7.92 m Direction: tan∅ = y/x tan∅ = 0.6 / 7.92 ∅ = 4.33° The dog walks 7.92 meters at an angle of 4.33° from south

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