In answering the following questions, assume that the acceleration is constant and nonzero: a +0. Part A The quantity represented by r is a function that changes over time (i.e., is not constant). O true O false
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.
![**Educational Resource: Understanding Constant Acceleration in One-Dimensional Kinematics**
**Learning Goal:**
To understand the meaning of the variables that appear in the equations for one-dimensional kinematics with constant acceleration.
Motion with a constant nonzero acceleration is not uncommon in the world around us. Falling (or thrown) objects and cars starting and stopping approximate this type of motion. It is also the type of motion most frequently involved in introductory kinematics problems.
The kinematic equations for such motion can be written as:
\[ x(t) = x_i + v_i t + \frac{1}{2} a t^2 \]
\[ v(t) = v_i + a t \]
where the symbols are defined as follows:
- \( x(t) \): position at time \( t \)
- \( x_i \): initial position
- \( v(t) \): velocity at time \( t \)
- \( v_i \): initial velocity
- \( a \): constant acceleration
- \( t \): time
**Instructions for Solving Problems:**
In answering the following questions, assume that the acceleration is constant and nonzero: \( a \neq 0 \).
**Part A**
The quantity represented by \( x \) is a function that changes over time (i.e., is not constant).
- [ ] true
- [ ] false
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