Consider the velocity function for an object moving along a line shown in the figure. a. Describe the motion of the object over the interval [0,8]. b. Use geometry to find the displacement of the object between t= 0 and t = 2. c. Use geometry to find the displacement of the object between t = 2 and t = 6. d. Assuming that the velocity remains 20 m/s for t≥ 6, what is the displacement function between t=0 and any time t≥ 6? a. Describe the motion of the object over the interval [0,8]. The object is on the interval [0,1], speeding up moving at a constant rate slowing down on [1,4], Velocity (m/s) 30- 20+ 10- on [4,6], and 6 8 Time (s) t Q Q ✔
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.
![Consider the velocity function for an object moving along a line shown in the figure.
a. Describe the motion of the object over the interval [0,8].
b. Use geometry to find the displacement of the object between t= 0 and t = 2.
c. Use geometry to find the displacement of the object between t = 2 and t = 6.
d. Assuming that the velocity remains 20 m/s for t≥ 6, what is the displacement function between t=0 and any time t≥ 6?
a. Describe the motion of the object over the interval [0,8].
The object is
on the interval [0,1],
speeding up
moving at a constant rate
slowing down
on [1,4],
Velocity (m/s)
30-
20+
10-
on [4,6], and
6 8 t
Time (s)
Q
U](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaed6e9c-dce1-4b09-8cf0-c81cdcf3a73f%2F020aa3e6-c99f-4e57-aa4b-95b4470a1b93%2Fnqbf05_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)