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Representing Motion

AP Physics 1· difficulty 3/5

A car decelerating uniformly slows from 24 m/s24~\text{m/s} to 00 over 48 m48~\text{m}. What is the magnitude of its acceleration?

  • A

    4.0 m/s24.0~\text{m/s}^2

  • B

    12 m/s212~\text{m/s}^2

  • C

    2.0 m/s22.0~\text{m/s}^2

  • D

    6.0 m/s26.0~\text{m/s}^2

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Explanation

0=v02+2ad⇒∣a∣=v02/(2d)=576/96=6 m/s20 = v_0^2 + 2 a d \Rightarrow |a| = v_0^2 /(2 d) = 576/96 = 6~\text{m/s}^2.

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