What is the displacement of the object from 2 to 7 seconds? 10 8 6 E4 Position (m) 0 -4 -6 O 5 m O 12 m O - 12 m O-8 m O 0 m O 8 m O -5 m Position vs Time Time (s) O 10
What is the displacement of the object from 2 to 7 seconds? 10 8 6 E4 Position (m) 0 -4 -6 O 5 m O 12 m O - 12 m O-8 m O 0 m O 8 m O -5 m Position vs Time Time (s) O 10
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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![### Understanding Displacement from Position vs. Time Graph
#### Question
What is the displacement of the object from 2 to 7 seconds?
#### Graph Explanation
The graph provided is a "Position vs. Time" graph, where the x-axis represents time in seconds (s) and the y-axis represents position in meters (m). The key points can be interpreted as follows:
1. From 0 to 2 seconds, the object's position is constant at 8 meters.
2. Between 2 and 4 seconds, the object’s position decreases linearly from 8 meters to 2 meters.
3. From 4 to 5 seconds, the position remains constant at 2 meters.
4. At 5 seconds, the position is 2 meters, and it decreases to -4 meters by 7 seconds.
5. At 7 to 8 seconds, the position remains constant at -4 meters.
6. From 8 to 10 seconds, the position increases back up to 0 meters.
To determine the displacement between two specific points in time (in this case, from 2 to 7 seconds):
1. Identify the starting position at 2 seconds (which is 8 meters).
2. Identify the ending position at 7 seconds (which is -4 meters).
#### Calculation
Displacement is given by the difference in position from the initial to the final state:
\[ \text{Displacement} = \text{Final Position} - \text{Initial Position} \]
\[ \text{Displacement} = -4\,\text{m} - 8\,\text{m} = -12\,\text{m} \]
Thus, the displacement of the object from 2 to 7 seconds is -12 meters.
#### Answer Choices
- \( \quad \;\, 5 \, \text{m} \)
- \( \quad \, 12 \, \text{m} \)
- \( \quad -12 \, \text{m} \)
- \( \quad -8 \, \text{m} \)
- \( \quad \;\, 0 \, \text{m} \)
- \( \quad \;\, 8 \, \text{m} \)
- \( \quad -5 \, \text{m} \)
Based on the calculation above, the correct answer is:
\[ \boxed{-12\,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb69b1dbc-ab62-44ef-9b57-71232ebb3671%2Fd2a82e2a-f751-4459-8c14-589f08e95578%2Feupaaw4_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Displacement from Position vs. Time Graph
#### Question
What is the displacement of the object from 2 to 7 seconds?
#### Graph Explanation
The graph provided is a "Position vs. Time" graph, where the x-axis represents time in seconds (s) and the y-axis represents position in meters (m). The key points can be interpreted as follows:
1. From 0 to 2 seconds, the object's position is constant at 8 meters.
2. Between 2 and 4 seconds, the object’s position decreases linearly from 8 meters to 2 meters.
3. From 4 to 5 seconds, the position remains constant at 2 meters.
4. At 5 seconds, the position is 2 meters, and it decreases to -4 meters by 7 seconds.
5. At 7 to 8 seconds, the position remains constant at -4 meters.
6. From 8 to 10 seconds, the position increases back up to 0 meters.
To determine the displacement between two specific points in time (in this case, from 2 to 7 seconds):
1. Identify the starting position at 2 seconds (which is 8 meters).
2. Identify the ending position at 7 seconds (which is -4 meters).
#### Calculation
Displacement is given by the difference in position from the initial to the final state:
\[ \text{Displacement} = \text{Final Position} - \text{Initial Position} \]
\[ \text{Displacement} = -4\,\text{m} - 8\,\text{m} = -12\,\text{m} \]
Thus, the displacement of the object from 2 to 7 seconds is -12 meters.
#### Answer Choices
- \( \quad \;\, 5 \, \text{m} \)
- \( \quad \, 12 \, \text{m} \)
- \( \quad -12 \, \text{m} \)
- \( \quad -8 \, \text{m} \)
- \( \quad \;\, 0 \, \text{m} \)
- \( \quad \;\, 8 \, \text{m} \)
- \( \quad -5 \, \text{m} \)
Based on the calculation above, the correct answer is:
\[ \boxed{-12\,
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