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AP Physics C: Mechanics/Unit 1 – Kinematics
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Magnitude of Resultant Displacement

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A particle undergoes two successive displacements, given by r₁ = (3î + 4ĵ) m and r₂ = (−2î + 5ĵ) m. Which of the following expressions represents the magnitude of the particle’s total displacement?

A

√(1² + 9²) m = 9.1 m

B

√(3² + 4²) + √(2² + 5²) m = 10 m

C

√(1² + 9²) m = √82 m

D

√((3 - 2)² + (4 + 5)²) m = √82 m

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