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Scalars and Vectors in One Dimension

AP Physics 1· difficulty 2/5

A particle moves from position r⃗1=(3,4) m\vec r_1 = (3, 4)~\text{m} to r⃗2=(−1,7) m\vec r_2 = (-1, 7)~\text{m}. What is the magnitude of its displacement?

  • A

    11 m11~\text{m}

  • B

    7 m7~\text{m}

  • C

    3 m3~\text{m}

  • D

    5 m5~\text{m}

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Explanation

Δr⃗=(−4,3)\Delta\vec r = (-4, 3). ∣Δr⃗∣=16+9=5 m|\Delta\vec r| = \sqrt{16 + 9} = 5~\text{m}.

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