Consider the motion described by the figure below. (a) Find the displacement at t = 12.4 s (b) Find the displacement at t = 12.9 s (c) Find the displacement at t = 16.5 s
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.
Consider the motion described by the figure below.
(b) Find the displacement at t = 12.9 s
(c) Find the displacement at t = 16.5 s
![The image displays a graph of a sine wave. This is a common representation in mathematics and physics, illustrating oscillatory motion.
### Graph Description:
- **Axes**:
- The horizontal axis is labeled as \( t, s \) (time in seconds).
- The vertical axis is labeled as \( y, m \) (displacement in meters).
- **Wave Characteristics**:
- The wave starts at a point slightly above 2 on the vertical axis at \( t = 0 \).
- It rises to a peak slightly above 4 meters at around \( t = 1 \).
- The wave then decreases, crossing the x-axis midway between 2 and 3 seconds.
- It reaches a trough slightly below the 2-meter mark at around \( t = 3 \).
- The wave continues this sinusoidal pattern up to \( t = 5 \).
This graph is ideal for understanding basic harmonic motion, which is pivotal in various scientific applications, including sound waves and alternating electrical currents. The sine wave displayed exemplifies periodic behavior typical in cyclic phenomena.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a4dff8-7f9e-4127-9d1e-ef0349b76ae2%2Fd116ccad-9a73-4990-8939-25d72efe583f%2Fsz6lt0m_processed.jpeg&w=3840&q=75)
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