A particle is subject to the following velocity: Ux 122.0t 0.2t³ over a time period of t = [0,10] seconds (exact time). The particle is at x = 2.0 m at t = 0 s. 1. What is the initial velocity of the particle? 2. What is the acceleration of the particle? 3. What is the position of the particle at t = 3 s? 4. What is the maximum velocity in the given time interval?
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.
![A particle is subject to the following velocity: Ux 122.0t 0.21³
over a time period of t = [0,10] seconds (exact time). The particle is at x =
2.0 m at t = 0 s.
1. What is the initial velocity of the particle?
2. What is the acceleration of the particle?
3. What is the position of the particle at t = 3 s?
4. What is the maximum velocity in the given time interval?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fdad347-f735-4012-90dd-d6f7d68bdff1%2F60a4f4d2-1683-41c7-89fc-f566671715fe%2Fyf4nftj_processed.jpeg&w=3840&q=75)
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