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Vectors and Motion in Two Dimensions

AP Physics 1· difficulty 2/5

A marble rolls off a horizontal table 1.25 m1.25~\text{m} above the floor with a horizontal speed of 4.0 m/s4.0~\text{m/s}. Using g≈10 m/s2g \approx 10~\text{m/s}^2 and ignoring air resistance, how far from the table edge does it land?

  • A

    4.0 m4.0~\text{m}

  • B

    2.0 m2.0~\text{m}

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  • C

    3.0 m3.0~\text{m}

  • D

    1.0 m1.0~\text{m}

Explanation

Time to fall: t=2h/g=2(1.25)/10=0.50 st = \sqrt{2h/g} = \sqrt{2(1.25)/10} = 0.50~\text{s}. Horizontal range: x=vxt=(4.0)(0.50)=2.0 mx = v_x t = (4.0)(0.50) = 2.0~\text{m}.

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