х (m) 100 50 t (s) 40 10 20 30 C Paron Eo . non A graph of position versus time for a certain object moving along the x-axis is shown on the graph. a. Find the object's velocity in the time interval from 0 s to 20 s. b. Find the object's velocity in the time interval from 30 s to 40 s.

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Chapter1: Units, Trigonometry. And Vectors
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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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### Graph Explanation

The graph illustrates the position \( x \) in meters (m) plotted against time \( t \) in seconds (s). The position-time graph is segmented into different time intervals, showing the motion of an object along the x-axis.

- **From 0 to 20 seconds:** 
  - The graph shows a linear increase from 50 m to 100 m. 
  - This indicates a constant velocity, as the slope of the line is constant.
  
- **From 20 to 30 seconds:**
  - The position remains constant at 100 m, showing no change in position over this time interval.
  - This implies the object is stationary.

- **From 30 to 40 seconds:**
  - The graph shows a linear decrease from 100 m back to 0 m.
  - This represents constant velocity in the opposite direction, as the slope of the line is negative.

### Questions

a. **Find the object's velocity in the time interval from 0 s to 20 s.**

b. **Find the object's velocity in the time interval from 30 s to 40 s.**
Transcribed Image Text:### Graph Explanation The graph illustrates the position \( x \) in meters (m) plotted against time \( t \) in seconds (s). The position-time graph is segmented into different time intervals, showing the motion of an object along the x-axis. - **From 0 to 20 seconds:** - The graph shows a linear increase from 50 m to 100 m. - This indicates a constant velocity, as the slope of the line is constant. - **From 20 to 30 seconds:** - The position remains constant at 100 m, showing no change in position over this time interval. - This implies the object is stationary. - **From 30 to 40 seconds:** - The graph shows a linear decrease from 100 m back to 0 m. - This represents constant velocity in the opposite direction, as the slope of the line is negative. ### Questions a. **Find the object's velocity in the time interval from 0 s to 20 s.** b. **Find the object's velocity in the time interval from 30 s to 40 s.**
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From the definition of velocity, the expression for the velocity is:

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