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 position function of a particle is given below.
\[ s(t) = t^3 + 3t^2 - 4t, \, t \geq 0 \]
When does the particle reach a velocity of 5 m/s?
\[ t = \, \underline{\hspace{3cm}} \text{ second(s)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b7d8e6f-10c2-4930-8095-14cdcadcba0b%2F790e832d-44a5-4684-8ac8-47dfd50d5fc7%2F3pfnqlr_processed.png&w=3840&q=75)

The position of the function of the particle is given as .
The velocity of the particle at the required time is
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