4. In a certain coordinate system, the position of a particle is r = [(3 m/s’)i]t — [(2 m/s)j] where r is in meters and t is in seconds. a. b. Find its velocity and acceleration as a function of time. Find the magnitude of its velocity and acceleration at t = 2.5 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.
![4.
In a certain coordinate system, the position of a particle is r = [(3 m/s’)i]t — [(2 m/s)j]
where r is in meters and t is in seconds.
a.
b.
Find its velocity and acceleration as a function of time.
Find the magnitude of its velocity and acceleration at t = 2.5 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43e0f413-5e09-4df4-b373-5c9493e00cb1%2Fbfefafa5-9dda-4476-8889-4f775ceb9c44%2F5iz29x_processed.jpeg&w=3840&q=75)
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