1. The position of a particle moving in a straight line is given by the equation s = 4(1+t) - where s is in meters and t in seconds. Determine (a) the equations of the velocity and the acceleration of the particle; (b) the position of the particle when t= 12s; (c) the time when the velocity will be zero; (d) the position and the acceleration of the particle at that time; and (e) the displacement and the distance traveled by the particle during the time t = 5s to t = 19s. Also, plot the s- t, v-t, graphs of the motion of the particle during the interval t = 0 tot - 20s.
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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