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Alan walks 1.3 km east, then 0.68 km further east, then 1.1 km north, then 0.42 km further north, and finally returns home along the same path. What are his final displacement and total distance travelled?
ADisplacement 0 km, distance 3.5 km
BDisplacement 0 km, distance 7 km
CDisplacement 3.5 km east, distance 3.5 km
DDisplacement 7 km east, distance 7 km
Answer & Solution
Correct answer: B. Displacement 0 km, distance 7 km
1. One-way distance = 1.3 + 0.68 + 1.1 + 0.42 = 3.5 km.
2. He returns home along the same path, so the round trip covers 3.5 km x 2 = 7 km.
3. Because he ends up back at the starting point, his net displacement is 0 km.
_Source: OpenStax Physics (CC BY 4.0), Ch 2 "Motion in One Dimension", section 2.1 Relative Motion, Distance, and Displacement_
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