The displacement, s, in metres, of a particle moving back and forth in a straight line can be modelled by the function s(t) = 4t² - 10t + 13, where t is measured in seconds. a. Find the average rate of change of the distance with respect to time from 1s to 4 s. b. Estimate the instantaneous rate of change of the displacement of the particle after 1 s.
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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