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Representing Motion

AP Physics 1· difficulty 3/5

0 5 15 0 12

The vv-vs-tt graph shows acceleration from 00 to 12 m/s12~\text{m/s} over 5 s5~\text{s}, then constant 12 m/s12~\text{m/s} for 10 s10~\text{s}. Total displacement?

  • A

    30 m30~\text{m}

  • B

    150 m150~\text{m}

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  • C

    180 m180~\text{m}

  • D

    120 m120~\text{m}

Explanation

Triangle: 12(5)(12)=30 m\tfrac{1}{2}(5)(12) = 30~\text{m}. Rectangle: 10(12)=120 m10(12) = 120~\text{m}. Total 150 m150~\text{m}.

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