The three standard equations for constant acceleration are (1) v = vo + at, (2) x = xo + vot+at², and (3) v² = vo² + 2a(x-xo), where a is acceleration, v and vo are final and initial velocity, and x and xo are final and initial position. 1. Rewrite the first equation to give the time t in terms of acceleration, final velocity, and initial velocity. 2. For the simple of case vo = 0, rewrite the second equation to give the time t in terms of acceleration a, initial velocity vo, and the change in position (x - xo). 3. Rewrite the third equation to give final velocity v in terms of acceleration a, initial velocity vo, and the change in position (x-xo).
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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