Slope Xị Slope = Uzi a Slope t Slope = 0 Figure 2.11 A particle under constant acceleration a moving along the xaxis: (a) the position- time graph, (b) the velocity-time graph, and (c) the acceleration- time graph. *, = x, + [v, + (v + a0]t x, = x; + vt + şa ² (for constant a) (2.16)
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.
As shown, the area under the velocity–time graph and between the vertical axis and time t (vertical dashed line) represents the displacement. As shown, this area consists of a rectangle and a triangle. (a) Compute their areas.
(b) Explain how the sum of the two areas compares with the expression on the right-hand side of Equation 2.16.
![*, = x, + [v, + (v + a0]t
x, = x; + vt + şa ² (for constant a)
(2.16)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F147575f0-52c5-445f-9368-5f903d3da3c5%2F71e440ec-366c-4bd9-95fa-ce1716da6b56%2Fv4r5lk3.png&w=3840&q=75)
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