What is the average acceleration of the particle during the following time intervals? (Enter your answers in m/s2. Indicate the direction with the signs of your answers.) (i) 0s to 4.00 s -20 X What do you notice about the initial and final velocities along this time interval? What is the change in velocity? What does this imply about the average acceleration? m/s² (ii) 4.00 s to 12.0 s 40 X What is the definition of average acceleration? What are the initial and final times? Read the initial and final velocities from the graph. m/s² (iii) 0 s to 16.0 s m/s²
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 below plots velocity vs. time for a particle moving along a straight path.
v (m/s)
20
15-
10-
LO
5
O
-5
-10
-15-
-20
4
8
12
16
t (s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98690a91-5dfe-4fc2-a503-7a239f75cf85%2F3e4f7b4c-1154-4ca5-93af-8b8b8c0f1862%2F2mcgrwc_processed.png&w=3840&q=75)
![(a) What is the average acceleration of the particle during the following time intervals? (Enter your answers in m/s². Indicate the direction with the signs of your answers.)
(i) 0 s to 4.00 s
-20
X
What do you notice about the initial and final velocities along this time interval? What is the change in velocity? What does this imply about the average acceleration? m/s²
(ii) 4.00 s to 12.0 s
40
X
What is the definition of average acceleration? What are the initial and final times? Read the initial and final velocities from the graph. m/s²
(iii) 0 s to 16.0 s
m/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98690a91-5dfe-4fc2-a503-7a239f75cf85%2F3e4f7b4c-1154-4ca5-93af-8b8b8c0f1862%2F4i3ee7_processed.png&w=3840&q=75)
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![(b) What is its instantaneous acceleration at each of the following times? (Enter your answers in m/s². Indicate the direction with the signs of your answers.)
(i) 1.00 s
(ii) 8.00 s
(iii) 14.0 s
m/s²
m/s²
m/s²](https://content.bartleby.com/qna-images/question/98690a91-5dfe-4fc2-a503-7a239f75cf85/5c575a70-4eed-4334-8c29-36238fed1f46/dk1i1bo_thumbnail.png)
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