Which time segments shows a constant velocity? Which time seemed shows a slow down? Which time segments show speeding up? Where did the object stop or change direction? What is the displacement?
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.
![The graph displayed is a velocity-time graph showing the relationship between velocity (\(v\)) in meters per second (m/s) and time (\(t\)) in seconds (s).
### Description:
- **Axes:**
- The vertical axis represents velocity (\(v\)) in meters per second, ranging from -8 m/s to 8 m/s.
- The horizontal axis represents time (\(t\)) in seconds, spanning from 0 to 20 seconds.
### Graph Analysis:
1. **Initial Phase (0 to 5 seconds):**
- Velocity is constant at -8 m/s, indicating motion in the negative direction at a steady speed.
2. **Acceleration Phase (5 to 10 seconds):**
- The velocity changes from -8 m/s to 0 m/s. This is a period of acceleration as the object slows down to a stop.
3. **Further Acceleration (10 to 15 seconds):**
- Velocity increases linearly from 0 m/s to 8 m/s. The object accelerates steadily in the positive direction.
4. **Final Phase (15 to 20 seconds):**
- Velocity remains constant at 8 m/s, indicating uniform motion in the positive direction.
### Interpretation:
This graph illustrates a transition from uniform negative velocity to uniform positive velocity through a period of acceleration. It can be used to demonstrate the concepts of constant velocity, acceleration, and change of direction in motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f6dd80b-a7b1-4682-a41b-16381f930f8b%2F017fcc4f-29d7-494b-b3b4-83cd35716f71%2F1lo5e6r_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
In the graph, when the slope of the curve is zero, the velocity is constant.
The time segment that shows the constant velocity is t=0 s to 4.5 s and t=15.5 s to 20 s.
The magnitude of velocity decreases from 8 m/s to 0 m/s in the time duration of t=5 s to 10 s.
The magnitude of velocity increases from 0 m/s to 8 m/s in the time duration of t=10 s to 15 s.
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