A particle moves along the x axis according to the equation x = 2.07 + 2.98t − 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.60 s. m (b) Find its velocity at t = 2.60 s. m/s (c) Find its acceleration at t = 2.60 s. m/s2
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 according to the equation
where x is in meters and t is in seconds.
m
(b) Find its velocity at t = 2.60 s.
m/s
(c) Find its acceleration at t = 2.60 s.
m/s2
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