2.28 Two cars, A and B, move Figure E2.28 along the x-axis. Figure E2.28 is a graph of the positions of A and B ver- sus time. (a) In motion diagrams (like Figs. 2.13b and 2.14b), show the posi- tion, velocity, and acceleration of each of the two cars at t = 0, t = 1 s, and t = 3 s. (b) At what time(s), if any, do A and B have the same position? (c) Graph velocity versus time for both A and B. (d) At what time(s), if any, do A and B have the same velocity? (e) At what time(s), if any, does car A pass car B? (f) At what time(s), if any, does car B pass car A? х (m) 25 E 20 15 B 10 5 t (s) 4 1 2 3 Figure E2.29 Ux (m/s)
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.
![2.28 • Two cars, A and B, move
Figure E2.28
along the x-axis. Figure E2.28 is a
graph of the positions of A and B ver-
sus time. (a) In motion diagrams (like
Figs. 2.13b and 2.14b), show the posi-
tion, velocity, and acceleration of each
of the two cars at t = 0, t = 1 s, and
t = 3 s. (b) At what time(s), if any,
do A and B have the same position?
(c) Graph velocity versus time for
both A and B. (d) At what time(s), if
any, do A and B have the same velocity?
(e) At what time(s), if any, does car A
pass car B? (f) At what time(s), if any,
does car B pass car A?
х (m)
25
20
15
В
10
5
t (s)
4
3
Figure E2.29
Uz (m/s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e055ce5-450e-4b4c-a7ec-05cd1833135a%2Ff651a16f-9b96-4c65-b601-5620d5563a07%2Fldkfsxh_processed.jpeg&w=3840&q=75)
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