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  1. 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).

  2. 2-1 Position, Displacement, and Distance In describing an object’s motion, we should first talk about position – where is the object? 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,

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  3. 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.

  4. 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.

  5. 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.

  6. 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

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  8. To solve this problem, we need to find the difference between the final position and the initial position while taking care to note the direction on the axis. The final position is the sum of the two displacements, Δ d 1 Δ d 1 and Δ d 2 Δ d 2.

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