Vectors and Motion in Two Dimensions

AP Physics 1· difficulty 4/5

v₀ horizontal h

A ball is thrown horizontally from a cliff of height h=45 mh = 45\text{ m} with speed v0=12 m/sv_0 = 12\text{ m/s}. How far from the base does it land? Use g=9.8 m/s2g = 9.8\text{ m/s}^2.

  • A

    44.0 m

  • B

    21.5 m

  • C

    36.4 m

    check_circle
  • D

    29.7 m

Explanation

Time to fall: t=2h/g=90/9.83.03 st = \sqrt{2h/g} = \sqrt{90/9.8} \approx 3.03\text{ s}. Horizontal distance: x=v0t12×3.0336.4 mx = v_0 t \approx 12 \times 3.03 \approx 36.4\text{ m}.

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