Find an expression for the velocity of the particle as a function of time. (Use any variable o m/s Determine the acceleration of the particle as a function of time. (Use any variable or symb m/s? Calculate the particle's position and velocity at t = 5.00 s. m
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 vector position of a particle varies in time according to the expression ỉ = 5.60 î - 5.80t² ĵ where i is in meters and t is in seconds.
(a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
m/s
(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
a =
m/s?
(c) Calculate the particle's position and velocity at t = 5.00 s.
* =
m
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83c8383a-4f6c-43c1-8de7-aa7faa557af8%2F491c9d9f-bc39-41ab-b7a8-2253182a36e1%2Fjb49v4s_processed.png&w=3840&q=75)
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We know that the vector position of the particle varies in time is given as
.
where is in the meter and t in seconds
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