AP Physics 1 Question 257: Answer and Explanation

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Question: 257

3. A transverse wave on a long horizontal rope with a wavelength of 8 m travels at 2 m/s. At t = 0, a particular point on the rope has a vertical displacement of +A, where A is the amplitude of the wave. At what time will the vertical displacement of this same point on the rope be -A ?

  • A. t = s
  • B. t = s
  • C. t = 2 s
  • D. t = 4 s

Correct Answer: C



The time interval from a point moving from its maximum displacement above y = 0 (equilibrium) to its maximum displacement below equilibrium is equal to one-half the period of the wave. In this case,

so the desired time is (4 s) = 2 s.