The displacement of a particle is given by s = 2t³ - 40t² + 84t-54 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 2.5 sec, At t = 9.3 sec, At t= 11.8 sec, S= S= i i S= i The velocity is zero when t = i ft, v= ft, v= ft, v = i i sec and when t = i ft/sec, a = ft/sec, a = i i ft/sec, a = i sec ft/sec² ft/sec ft/sec'
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 displacement of a particle is given by s = 2t³ - 40t² + 84t - 54 where s is in feet and t is in seconds. Plot the displacement, velocity,
and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions.
Questions:
At t = 2.5 sec,
At t = 9.3 sec,
At t = 11.8
sec,
S =
S =
S =
M
The velocity is zero when t = i
ft, v =
ft, v =
ft, v =
i
i
sec and when t =
ft/sec, a =
ft/sec, a =
ft/sec, a =
i
MO
i
sec
ft/sec
ft/sec²
ft/sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbdabc84-e555-4330-a668-3273e2f5116a%2Fdc011f53-52d9-4038-a858-8d059c870fab%2Fqj7f85h_processed.png&w=3840&q=75)
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