Displacement, Velocity, and Acceleration

AP Physics 1· difficulty 3/5

A ball passes a window of height h=1.5 mh = 1.5~\text{m} in 0.10 s0.10~\text{s} on its way down. Using g10 m/s2g \approx 10~\text{m/s}^2, what is the ball's speed at the <strong>top</strong> of the window?

  • A

    5 m/s5~\text{m/s}

  • B

    0.5 m/s0.5~\text{m/s}

  • C

    20 m/s20~\text{m/s}

  • D

    14.5 m/s14.5~\text{m/s}

    check_circle

Explanation

Average speed crossing window =1.5/0.10=15 m/s= 1.5/0.10 = 15~\text{m/s}. Speed at top vv, at bottom v+g(0.10)=v+1v + g(0.10) = v + 1. Average =v+0.5=15v=14.5 m/s= v + 0.5 = 15 \Rightarrow v = 14.5~\text{m/s}.

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