A particle moves along the x-axis, its position is given by x (t) =t/1+t^2,t≥0, where t is measured in seconds and x in meters. (a) Find the acceleration at time t.
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 is given by x (t) =t/1+t^2,t≥0, where t is measured in seconds and x in meters.
(a) Find the acceleration at time t.
(b) < t <
c) < t < and t >
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