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Scalars and Vectors in One Dimension

AP Physics 1· difficulty 2/5

A boat heads due north at 4 m/s4~\text{m/s} across a river that flows east at 3 m/s3~\text{m/s}. What is the boat's speed relative to the riverbank?

  • A

    7 m/s7~\text{m/s}

  • B

    1 m/s1~\text{m/s}

  • C

    5 m/s5~\text{m/s}

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  • D

    12 m/s12~\text{m/s}

Explanation

v=42+32=25=5 m/sv = \sqrt{4^2 + 3^2} = \sqrt{25} = 5~\text{m/s}.

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