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Displacement, Velocity, and Acceleration

AP Physics 1· difficulty 2/5

A bicycle traveling at 8.0 m/s8.0~\text{m/s} decelerates uniformly at 2.0 m/s22.0~\text{m/s}^2 until it stops. How far does it travel while stopping?

  • A

    12 m12~\text{m}

  • B

    16 m16~\text{m}

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  • C

    8 m8~\text{m}

  • D

    32 m32~\text{m}

Explanation

Using v2=v02+2aΔxv^2 = v_0^2 + 2a\Delta x with v=0v = 0: Δx=−v02/(2a)=−(8.0)2/(2⋅−2.0)=16 m\Delta x = -v_0^2/(2a) = -(8.0)^2/(2 \cdot -2.0) = 16~\text{m}.

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