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If the initial position is and the final position is we can express the displacement as: . (Equation 2.1: Displacement in one dimension) Figure 2.1: Positions = +3 m and = –2 m, where the + and – signs indicate the direction. Figure 2.2: The displacement is –5 m when moving from position to position . Equation 2.1,
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To describe the motion of an object, you must first be able to describe its position (x): where it is at any particular time. More precisely, we need to specify its position relative to a convenient frame of reference.
A position is a vector because it has both a magnitude and a direction: it is some distance from a zero point (the point we call the origin) in a particular direction. With one-dimensional motion, we can define a straight line along which the object moves.
Calculate velocity and speed given initial position, initial time, final position, and final time. Derive a graph of velocity vs. time given a graph of position vs. time. Interpret a graph of velocity vs. time. The motion of these racing snails can be described by their speeds and their velocities. (credit: tobitasflickr, Flickr)
Measurement of the total length of your path from the starting position to the final position is distance traveled, and the measurement from your initial position to your final position is displacement.
Jun 15, 2023 · In one dimension, the displacement of an object over a given time interval is a quantity that we denote as \(\Delta x\), and equals the difference between the object’s initial and final positions (in one dimension, we will often call the “position coordinate” simply the “position,” for short):
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In nature, the easiest changes to observe are those of motion: An object is moved from one position in space to another. In fact, the motion generally leaves the object itself unchanged and thus simplifies the observation. We first need some definitions to identify the motion. It begins by defining the change in position of a particle.
