The acceleration of a particle is given by a = 4t - 31, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = O is so = 0 m, and the initial velocity is vo = 5 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: At t = 1.6 s, s = i vm, i m/s At t = 15 s, S = i vm, i 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.
![The acceleration of a particle is given by a = 4t - 31, where a is in meters per second squared and t is in
seconds. Determine the velocity and displacement as functions of time. The initial displacement at t =
O is so = 0 m, and the initial velocity is vo = 5 m/s. After you have the general expressions, evaluate
these expressions at the indicated times.
Answers:
At t = 1.6 s, s =
i
vm, i
m/s
At t = 15 s,
S =
i
vm, i
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F577966c2-3715-42a5-9e21-2cbfcc453a30%2F4fada0db-f382-40b7-8c39-64291ca3d721%2Fy8vhvvp_processed.png&w=3840&q=75)
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