A particle moves along the x-axis, its position given by a(t) meters. (a) Find the acceleration at time t. (b) When is the particle speeding up? (c) When is the particle slowing down? (a) a(t) = (b) (c) = t 1+12' t≥ 0, where t is measured in seconds and a in
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 moves along the x-axis, its position given by a(t) = 1+1²
meters.
(a) Find the acceleration at time t.
(b) When is the particle speeding up?
(c) When is the particle slowing down?
-0
(a) a(t) =
(b)
(c)
<t<
<t<
and t>
t≥ 0, where t is measured in seconds and a in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3231216-ac6a-463c-8e67-724e263e6aaa%2Fd9135ed9-5820-42fc-ad3b-cc491eb0dd68%2Feuccdbf_processed.jpeg&w=3840&q=75)
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