The position vs. time graph for a person walking on a long, straight road is shown in the figure. Treat the positive position variable as the East direction. a.) At what time intervals is the person heading East? West? Standing still? b.) What is the average velocity for the following time intervals: 0-5 seconds, 0-6 seconds, 2-10 seconds, 12.5-14 seconds, 0-19 seconds c.) What is the total distance that the person walked? What is the total displacement? d.) Graph velocity vs. time for this motion. position (m) 4 5 & A w N 40 - Nw 2 T 5 10 time (sec) 15 20
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 position vs. time graph for a person walking on a long, straight road is shown in the
figure. Treat the positive position variable as the East direction.
a.) At what time intervals is the person heading
East? West? Standing still?
b.) What is the average velocity for the following
time intervals: 0-5 seconds, 0-6 seconds, 2-10
seconds, 12.5-14 seconds, 0-19 seconds
c.) What is the total distance that the person
walked? What is the total displacement?
d.) Graph velocity vs. time for this motion.
position (m)
321043 44 44
T
5
10
time (sec)
15
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33ec63b3-d389-4ccd-948b-e56250e63ff8%2F71887d6e-2ff0-4d8b-9c7d-602452b3fce0%2Ffjo7avh7_processed.jpeg&w=3840&q=75)
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