A particle’s position on the x axis is given by x = 4 – 27t + t 3 with x in meters and t in seconds. (a) Because position x depends on time t, the particle must be moving. Find the particle’s velocity function v(t) and acceleration function a(t). (b) Is there ever a time when v=0?
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 position on the x axis is given by
x = 4 – 27t + t
3
with x in meters and t in seconds.
(a) Because position x depends on time t, the particle must be moving. Find the particle’s
velocity function v(t) and acceleration function a(t).
(b) Is there ever a time when v=0?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
