A particle moves in a horizontal line so that its position from a fixed point after t seconds, where t≥ 0, is s metres, where s(t) = 52²2²-A. a Find the position, velocity and acceleration of the particle after 1 second. b Determine whether the particle is speeding up or slowing down at t = 1. c Find the values of t when the particle is at rest. d Find the time intervals on which the particle is speeding up, and the intervals on which it is slowing down. e Find the total distance the particle travels in the first 3 seconds.
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.
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