The position of a particle that moves along the axis Ox varies with time according to ratio: x = x0(1 - e-kt) Where x0 and k are constant. Sketch a graph of "x" as a function of time, another graph of "v" as a function of time and another "a" graph as a function of time. Determine: (a) the value of x for t = 0, (b) the value of x to t →∞, (c) the total distance traveled from t = 0 to t→∞,
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.
The position of a particle that moves along the axis
Ox varies with time according to ratio:
x = x0(1 - e-kt)
Where x0 and k are constant. Sketch a graph of "x" as a function
of time, another graph of "v" as a function of time and another
"a" graph as a function of time. Determine:
(a) the value of x for t = 0,
(b) the value of x to t →∞,
(c) the total distance traveled from t = 0 to t→∞,
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