Representing Motion

AP Physics 1· difficulty 2/5

0 5 10 0 10 20 t (s) v (m/s)

The velocity-vs-time graph shows an object starting from rest and accelerating uniformly. What is the total displacement of the object over the 10 s10~\text{s} interval?

  • A

    50 m50~\text{m}

  • B

    100 m100~\text{m}

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  • C

    200 m200~\text{m}

  • D

    150 m150~\text{m}

Explanation

Displacement equals the area under the vvtt curve: a triangle of base 10 s10~\text{s} and height 20 m/s20~\text{m/s}, giving 12(10)(20)=100 m\tfrac{1}{2}(10)(20) = 100~\text{m}.

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