Question
In the equation x=Asin⁡wt,whatvaluescanthepositionx = A \sin{wt}, what values can the position x$ take?
  1. −1 to +1
  2. –A to +A
  3. 0
  4. –t to t
Question by OpenStax is licensed under CC BY 4.0
Final Answer

(b)

Solution video

OpenStax College Physics for AP® Courses, Chapter 16, Problem 14 (Test Prep for AP® Courses)

OpenStax College Physics, Chapter 16, Problem 14 (AP) video thumbnail

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Video Transcript
This is College Physics Answers with Shaun Dychko. We have the equation x equals A times sin of wt so what values can position x take? Well, we know that the range of the sin function is from negative 1 upto 1 and so multiplying negative 1 by A will give a maximally negative value of negative A or multiplying 1 by A will give a maximum of A so x can vary between negative A and A so the answer is B.