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.
![В(4, 6, 0)
(1, 3, 0),
A (3, 2, 0)
O|(0, 0, 0)
Fig. 1-21
a) 73°
b) 75°
с) 83°
d) 90°
a
d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e24f06c-5ffa-4c1a-a43f-393467ab9dd8%2F0a63fdba-dade-4bec-994b-01af085b34c4%2Fwgp2tv8_processed.jpeg&w=3840&q=75)
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![17. Initial velocity = 5ms-',
final velocity = 36 km h=',
acceleration = 14 ms-2. Find the distance.
%3D
a) 26m
b) 27m
c) 29m
d) 30m](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/6141a95a-2198-441c-810e-d9d752e21d44/26yqddi_thumbnail.jpeg)
![16. Distance = 60 m, final velocity = 8 ms-',
time taken = 12 s. Find the initial velocity.
%3D
a) 1m/s
b) 2m/s
c) 3m/s
d) 4m/s](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/50c4610a-9b37-4862-a2af-440024788ac9/csu4xti_thumbnail.jpeg)
![20. Distance = 132 m, time taken = 12 s,
acceleration = -1 ms-2, Find the final
velocity.
a) 4m/s
b) 5m/s
c) 6m/s
d) 7m/s](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/96c934aa-dd26-4ff4-b307-4ab9b5852653/pkcpyw2_thumbnail.jpeg)
![20. Distance = 132 m, time taken = 12 s,
acceleration = -1 ms-2, Find the final
velocity.
a) 4m/s
b) 5m/s
c) 6m/s
d) 7m/s](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/88ee32c3-0fcb-4d3b-997b-9bdd3000a692/kbcgi1_thumbnail.jpeg)
![18. Acceleration = 0-5 ms-2,
final velocity = 162 km h-',
time taken = 1 minute. Find the initial
velocity.
%3D
a) 14m/s
b) 15m/s
c) 16m/s
d) 17m/s](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/c421ee07-1dce-4931-bb25-570861292bf6/53d8wd9_thumbnail.jpeg)
![19. Acceleration = 2 ms-2,
final velocity = 10 ms-', time taken = 2 s.
Find the distance.
a) 14m
b) 15m
c) 16m
d) 17m](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/2aa014bc-a945-4b70-9557-fd3a148d7aaf/33hahm6_thumbnail.jpeg)
![d'r
If r =
(t8 + 2t)i – 3e-2tj + 2 sin 5t k, find
dt2
at t=0.
12
-12
O 21
-21](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/14fd0718-d313-4c2a-ab0d-fb2857eb3a2e/tlwgx8_thumbnail.jpeg)
![d'r
If r =
(t8 + 2t)i – 3e-2tj + 2 sin 5t k, find
dt2
at t=0.
12
-12
O 21
-21](https://content.bartleby.com/qna-images/question/0e24f06c-5ffa-4c1a-a43f-393467ab9dd8/a5f44cde-e508-468c-95ae-71f9519bb826/895awu_thumbnail.jpeg)
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