Consider the motion described by the figure below.   (a) Find the displacement at t = 12.4 s (b) Find the displacement at t = 12.9 s (c) Find the displacement at t = 16.5 s

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the motion described by the figure below.

 
(a) Find the displacement at t = 12.4 s


(b) Find the displacement at t = 12.9 s


(c) Find the displacement at = 16.5 s
The image displays a graph of a sine wave. This is a common representation in mathematics and physics, illustrating oscillatory motion. 

### Graph Description:

- **Axes**: 
  - The horizontal axis is labeled as \( t, s \) (time in seconds).
  - The vertical axis is labeled as \( y, m \) (displacement in meters).

- **Wave Characteristics**:
  - The wave starts at a point slightly above 2 on the vertical axis at \( t = 0 \).
  - It rises to a peak slightly above 4 meters at around \( t = 1 \).
  - The wave then decreases, crossing the x-axis midway between 2 and 3 seconds.
  - It reaches a trough slightly below the 2-meter mark at around \( t = 3 \).
  - The wave continues this sinusoidal pattern up to \( t = 5 \).

This graph is ideal for understanding basic harmonic motion, which is pivotal in various scientific applications, including sound waves and alternating electrical currents. The sine wave displayed exemplifies periodic behavior typical in cyclic phenomena.
Transcribed Image Text:The image displays a graph of a sine wave. This is a common representation in mathematics and physics, illustrating oscillatory motion. ### Graph Description: - **Axes**: - The horizontal axis is labeled as \( t, s \) (time in seconds). - The vertical axis is labeled as \( y, m \) (displacement in meters). - **Wave Characteristics**: - The wave starts at a point slightly above 2 on the vertical axis at \( t = 0 \). - It rises to a peak slightly above 4 meters at around \( t = 1 \). - The wave then decreases, crossing the x-axis midway between 2 and 3 seconds. - It reaches a trough slightly below the 2-meter mark at around \( t = 3 \). - The wave continues this sinusoidal pattern up to \( t = 5 \). This graph is ideal for understanding basic harmonic motion, which is pivotal in various scientific applications, including sound waves and alternating electrical currents. The sine wave displayed exemplifies periodic behavior typical in cyclic phenomena.
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