A particle's moves on the positive x-axis and its motion is described by the equation: X(t) = 6t3 + 3 t2 +t. What is the particle instant speed at (t= 2 s)? O a. 85i m/s O b. 49 i m/s O c. 85 m/s O d. 84 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.
![A particle's moves on the positive x-axis and
its motion is described by the equation: X(t) =
6t3 + 3 t2 +t. What is the particle instant
speed at ( t= 2 s)?
%3D
O a. 85 i m/s
O b. 49 i m/s
O c. 85 m/s
O d. 84 m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01f43746-ccfd-43f2-b7c9-a20e21738b0c%2Fa93b798d-ce6b-4380-82a3-b2ace38a24f3%2Fw2lf23p_processed.jpeg&w=3840&q=75)
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