The position in metres (as a function of time, in seconds) for a particle moving along the x-axis is given by x(t) =-0.5t + 2.5€-7t +3. Find (a) the instantaneous velocity of the particle at t,-2s; (b) the instantaneous acceleration of the particle at t, 2s; (c) the average acceleration of the particle between t;-2s and t-3s; (d) the instantaneous acceleration of the particle at ty-2.5s; (e) the maximum speed the particle reaches in the first 5s of its motion.
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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