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Δx = xf − x0, where Δ x is displacement, x f is the final position, and x 0 is the initial position. We use the uppercase Greek letter delta (Δ) to mean “change in” whatever quantity follows it; thus, Δ x means change in position (final position less initial position).
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.
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Identify which are the initial conditions of the problem: what is the initial position of the particle, its initial velocity and its acceleration. If the acceleration is a given, you will have to integrate it to obtain the velocity and integrate this velocity to obtain the position vector.
Define position, displacement, and distance traveled. Calculate the total displacement given the position as a function of time. Determine the total distance traveled. Calculate the average velocity given the displacement and elapsed time.
For problems of projectile motion, it is important to set up a coordinate system. The first step is to choose an initial position for x x and y y. Usually, it is simplest to set the initial position of the object so that x 0 = 0 x 0 = 0 and y 0 = 0 y 0 = 0.
Jul 26, 2024 · Define position, displacement, and distance traveled. Calculate the total displacement given the position as a function of time. Determine the total distance traveled.
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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. Let’s call this the x-axis, and
